A unified solution for vibration analysis of functionally graded circular, annular and sector plates with general boundary conditions
The vibrations of functionally graded circular plates, annular plates, and annular, circular sectorial plates have been traditionally treated as different boundary value problems, which results in numerous specific solution algorithms and procedures. It is the problem itself that has been an overwhe...
Ausführliche Beschreibung
Gespeichert in:
| Autor*in: |
Wang, Qingshan [verfasserIn] |
|---|
| Format: |
E-Artikel |
|---|---|
| Sprache: |
Englisch |
| Erschienen: |
2016transfer abstract |
|---|
| Schlagwörter: |
|---|
| Umfang: |
31 |
|---|
| Übergeordnetes Werk: |
Enthalten in: O46 – 1548 Long term follow-up of clinical and neurographical abnormalities in eight Croatian patients with triple A syndrome - Barisic, N ELSEVIER, 2013, an international journal, Amsterdam [u.a.] |
|---|---|
| Übergeordnetes Werk: |
volume:88 ; year:2016 ; day:1 ; month:03 ; pages:264-294 ; extent:31 |
| Links: |
|---|
| DOI / URN: |
10.1016/j.compositesb.2015.10.043 |
|---|
| Katalog-ID: |
ELV024806358 |
|---|
| LEADER | 01000caa a22002652 4500 | ||
|---|---|---|---|
| 001 | ELV024806358 | ||
| 003 | DE-627 | ||
| 005 | 20230625143524.0 | ||
| 007 | cr uuu---uuuuu | ||
| 008 | 180603s2016 xx |||||o 00| ||eng c | ||
| 024 | 7 | |a 10.1016/j.compositesb.2015.10.043 |2 doi | |
| 028 | 5 | 2 | |a GBVA2016019000028.pica |
| 035 | |a (DE-627)ELV024806358 | ||
| 035 | |a (ELSEVIER)S1359-8368(15)00673-3 | ||
| 040 | |a DE-627 |b ger |c DE-627 |e rakwb | ||
| 041 | |a eng | ||
| 082 | 0 | |a 660 | |
| 082 | 0 | 4 | |a 660 |q DE-600 |
| 082 | 0 | 4 | |a 610 |q VZ |
| 082 | 0 | 4 | |a 580 |a 540 |q VZ |
| 084 | |a BIODIV |q DE-30 |2 fid | ||
| 084 | |a 42.00 |2 bkl | ||
| 100 | 1 | |a Wang, Qingshan |e verfasserin |4 aut | |
| 245 | 1 | 0 | |a A unified solution for vibration analysis of functionally graded circular, annular and sector plates with general boundary conditions |
| 264 | 1 | |c 2016transfer abstract | |
| 300 | |a 31 | ||
| 336 | |a nicht spezifiziert |b zzz |2 rdacontent | ||
| 337 | |a nicht spezifiziert |b z |2 rdamedia | ||
| 338 | |a nicht spezifiziert |b zu |2 rdacarrier | ||
| 520 | |a The vibrations of functionally graded circular plates, annular plates, and annular, circular sectorial plates have been traditionally treated as different boundary value problems, which results in numerous specific solution algorithms and procedures. It is the problem itself that has been an overwhelming task for a new researcher or application engineer to comprehend. Furthermore each type of plate usually needs treating separately when different boundary conditions are involved. In this paper, a unified method is presented for the vibration analysis of the plates mentioned above with general boundary conditions based on the first-order shear deformation theory and Ritz procedure. The material properties are assumed to vary continuously through the thickness according to the general four-parameter power-law distribution. Regardless of the shapes of the plates and the types of boundary conditions, the displacements of the plates are described as an improved Fourier series expansion which is composed of a double Fourier cosine series and several auxiliary functions. As an innovative point of this work, the auxiliary functions are introduced to eliminate all the relevant discontinuities with the displacement and its derivatives at the boundaries and to accelerate the convergence of series representations. The accuracy, reliability and versatility of the current solution are fully demonstrated and verified through numerical examples involving plates with various shapes and boundary conditions. Some new results of functionally graded circular, annular and sector plates with various boundary conditions are presented, which may serve as datum solutions for future computational methods. In addition, the influence of boundary conditions, the material and geometric parameters on the vibration characteristics of the plates are also reported. | ||
| 520 | |a The vibrations of functionally graded circular plates, annular plates, and annular, circular sectorial plates have been traditionally treated as different boundary value problems, which results in numerous specific solution algorithms and procedures. It is the problem itself that has been an overwhelming task for a new researcher or application engineer to comprehend. Furthermore each type of plate usually needs treating separately when different boundary conditions are involved. In this paper, a unified method is presented for the vibration analysis of the plates mentioned above with general boundary conditions based on the first-order shear deformation theory and Ritz procedure. The material properties are assumed to vary continuously through the thickness according to the general four-parameter power-law distribution. Regardless of the shapes of the plates and the types of boundary conditions, the displacements of the plates are described as an improved Fourier series expansion which is composed of a double Fourier cosine series and several auxiliary functions. As an innovative point of this work, the auxiliary functions are introduced to eliminate all the relevant discontinuities with the displacement and its derivatives at the boundaries and to accelerate the convergence of series representations. The accuracy, reliability and versatility of the current solution are fully demonstrated and verified through numerical examples involving plates with various shapes and boundary conditions. Some new results of functionally graded circular, annular and sector plates with various boundary conditions are presented, which may serve as datum solutions for future computational methods. In addition, the influence of boundary conditions, the material and geometric parameters on the vibration characteristics of the plates are also reported. | ||
| 650 | 7 | |a C. Numerical analysis |2 Elsevier | |
| 650 | 7 | |a B. Vibration |2 Elsevier | |
| 650 | 7 | |a Functionally graded plate |2 Elsevier | |
| 700 | 1 | |a Shi, Dongyan |4 oth | |
| 700 | 1 | |a Liang, Qian |4 oth | |
| 700 | 1 | |a Shi, Xianjie |4 oth | |
| 773 | 0 | 8 | |i Enthalten in |n Elsevier |a Barisic, N ELSEVIER |t O46 – 1548 Long term follow-up of clinical and neurographical abnormalities in eight Croatian patients with triple A syndrome |d 2013 |d an international journal |g Amsterdam [u.a.] |w (DE-627)ELV011782439 |
| 773 | 1 | 8 | |g volume:88 |g year:2016 |g day:1 |g month:03 |g pages:264-294 |g extent:31 |
| 856 | 4 | 0 | |u https://doi.org/10.1016/j.compositesb.2015.10.043 |3 Volltext |
| 912 | |a GBV_USEFLAG_U | ||
| 912 | |a GBV_ELV | ||
| 912 | |a SYSFLAG_U | ||
| 912 | |a FID-BIODIV | ||
| 912 | |a SSG-OLC-PHA | ||
| 936 | b | k | |a 42.00 |j Biologie: Allgemeines |q VZ |
| 951 | |a AR | ||
| 952 | |d 88 |j 2016 |b 1 |c 0301 |h 264-294 |g 31 | ||
| 953 | |2 045F |a 660 | ||
| author_variant |
q w qw |
|---|---|
| matchkey_str |
wangqingshanshidongyanliangqianshixianji:2016----:uiidouinovbainnlssfucinlyrddiclrnuaadetrlt |
| hierarchy_sort_str |
2016transfer abstract |
| bklnumber |
42.00 |
| publishDate |
2016 |
| allfields |
10.1016/j.compositesb.2015.10.043 doi GBVA2016019000028.pica (DE-627)ELV024806358 (ELSEVIER)S1359-8368(15)00673-3 DE-627 ger DE-627 rakwb eng 660 660 DE-600 610 VZ 580 540 VZ BIODIV DE-30 fid 42.00 bkl Wang, Qingshan verfasserin aut A unified solution for vibration analysis of functionally graded circular, annular and sector plates with general boundary conditions 2016transfer abstract 31 nicht spezifiziert zzz rdacontent nicht spezifiziert z rdamedia nicht spezifiziert zu rdacarrier The vibrations of functionally graded circular plates, annular plates, and annular, circular sectorial plates have been traditionally treated as different boundary value problems, which results in numerous specific solution algorithms and procedures. It is the problem itself that has been an overwhelming task for a new researcher or application engineer to comprehend. Furthermore each type of plate usually needs treating separately when different boundary conditions are involved. In this paper, a unified method is presented for the vibration analysis of the plates mentioned above with general boundary conditions based on the first-order shear deformation theory and Ritz procedure. The material properties are assumed to vary continuously through the thickness according to the general four-parameter power-law distribution. Regardless of the shapes of the plates and the types of boundary conditions, the displacements of the plates are described as an improved Fourier series expansion which is composed of a double Fourier cosine series and several auxiliary functions. As an innovative point of this work, the auxiliary functions are introduced to eliminate all the relevant discontinuities with the displacement and its derivatives at the boundaries and to accelerate the convergence of series representations. The accuracy, reliability and versatility of the current solution are fully demonstrated and verified through numerical examples involving plates with various shapes and boundary conditions. Some new results of functionally graded circular, annular and sector plates with various boundary conditions are presented, which may serve as datum solutions for future computational methods. In addition, the influence of boundary conditions, the material and geometric parameters on the vibration characteristics of the plates are also reported. The vibrations of functionally graded circular plates, annular plates, and annular, circular sectorial plates have been traditionally treated as different boundary value problems, which results in numerous specific solution algorithms and procedures. It is the problem itself that has been an overwhelming task for a new researcher or application engineer to comprehend. Furthermore each type of plate usually needs treating separately when different boundary conditions are involved. In this paper, a unified method is presented for the vibration analysis of the plates mentioned above with general boundary conditions based on the first-order shear deformation theory and Ritz procedure. The material properties are assumed to vary continuously through the thickness according to the general four-parameter power-law distribution. Regardless of the shapes of the plates and the types of boundary conditions, the displacements of the plates are described as an improved Fourier series expansion which is composed of a double Fourier cosine series and several auxiliary functions. As an innovative point of this work, the auxiliary functions are introduced to eliminate all the relevant discontinuities with the displacement and its derivatives at the boundaries and to accelerate the convergence of series representations. The accuracy, reliability and versatility of the current solution are fully demonstrated and verified through numerical examples involving plates with various shapes and boundary conditions. Some new results of functionally graded circular, annular and sector plates with various boundary conditions are presented, which may serve as datum solutions for future computational methods. In addition, the influence of boundary conditions, the material and geometric parameters on the vibration characteristics of the plates are also reported. C. Numerical analysis Elsevier B. Vibration Elsevier Functionally graded plate Elsevier Shi, Dongyan oth Liang, Qian oth Shi, Xianjie oth Enthalten in Elsevier Barisic, N ELSEVIER O46 – 1548 Long term follow-up of clinical and neurographical abnormalities in eight Croatian patients with triple A syndrome 2013 an international journal Amsterdam [u.a.] (DE-627)ELV011782439 volume:88 year:2016 day:1 month:03 pages:264-294 extent:31 https://doi.org/10.1016/j.compositesb.2015.10.043 Volltext GBV_USEFLAG_U GBV_ELV SYSFLAG_U FID-BIODIV SSG-OLC-PHA 42.00 Biologie: Allgemeines VZ AR 88 2016 1 0301 264-294 31 045F 660 |
| spelling |
10.1016/j.compositesb.2015.10.043 doi GBVA2016019000028.pica (DE-627)ELV024806358 (ELSEVIER)S1359-8368(15)00673-3 DE-627 ger DE-627 rakwb eng 660 660 DE-600 610 VZ 580 540 VZ BIODIV DE-30 fid 42.00 bkl Wang, Qingshan verfasserin aut A unified solution for vibration analysis of functionally graded circular, annular and sector plates with general boundary conditions 2016transfer abstract 31 nicht spezifiziert zzz rdacontent nicht spezifiziert z rdamedia nicht spezifiziert zu rdacarrier The vibrations of functionally graded circular plates, annular plates, and annular, circular sectorial plates have been traditionally treated as different boundary value problems, which results in numerous specific solution algorithms and procedures. It is the problem itself that has been an overwhelming task for a new researcher or application engineer to comprehend. Furthermore each type of plate usually needs treating separately when different boundary conditions are involved. In this paper, a unified method is presented for the vibration analysis of the plates mentioned above with general boundary conditions based on the first-order shear deformation theory and Ritz procedure. The material properties are assumed to vary continuously through the thickness according to the general four-parameter power-law distribution. Regardless of the shapes of the plates and the types of boundary conditions, the displacements of the plates are described as an improved Fourier series expansion which is composed of a double Fourier cosine series and several auxiliary functions. As an innovative point of this work, the auxiliary functions are introduced to eliminate all the relevant discontinuities with the displacement and its derivatives at the boundaries and to accelerate the convergence of series representations. The accuracy, reliability and versatility of the current solution are fully demonstrated and verified through numerical examples involving plates with various shapes and boundary conditions. Some new results of functionally graded circular, annular and sector plates with various boundary conditions are presented, which may serve as datum solutions for future computational methods. In addition, the influence of boundary conditions, the material and geometric parameters on the vibration characteristics of the plates are also reported. The vibrations of functionally graded circular plates, annular plates, and annular, circular sectorial plates have been traditionally treated as different boundary value problems, which results in numerous specific solution algorithms and procedures. It is the problem itself that has been an overwhelming task for a new researcher or application engineer to comprehend. Furthermore each type of plate usually needs treating separately when different boundary conditions are involved. In this paper, a unified method is presented for the vibration analysis of the plates mentioned above with general boundary conditions based on the first-order shear deformation theory and Ritz procedure. The material properties are assumed to vary continuously through the thickness according to the general four-parameter power-law distribution. Regardless of the shapes of the plates and the types of boundary conditions, the displacements of the plates are described as an improved Fourier series expansion which is composed of a double Fourier cosine series and several auxiliary functions. As an innovative point of this work, the auxiliary functions are introduced to eliminate all the relevant discontinuities with the displacement and its derivatives at the boundaries and to accelerate the convergence of series representations. The accuracy, reliability and versatility of the current solution are fully demonstrated and verified through numerical examples involving plates with various shapes and boundary conditions. Some new results of functionally graded circular, annular and sector plates with various boundary conditions are presented, which may serve as datum solutions for future computational methods. In addition, the influence of boundary conditions, the material and geometric parameters on the vibration characteristics of the plates are also reported. C. Numerical analysis Elsevier B. Vibration Elsevier Functionally graded plate Elsevier Shi, Dongyan oth Liang, Qian oth Shi, Xianjie oth Enthalten in Elsevier Barisic, N ELSEVIER O46 – 1548 Long term follow-up of clinical and neurographical abnormalities in eight Croatian patients with triple A syndrome 2013 an international journal Amsterdam [u.a.] (DE-627)ELV011782439 volume:88 year:2016 day:1 month:03 pages:264-294 extent:31 https://doi.org/10.1016/j.compositesb.2015.10.043 Volltext GBV_USEFLAG_U GBV_ELV SYSFLAG_U FID-BIODIV SSG-OLC-PHA 42.00 Biologie: Allgemeines VZ AR 88 2016 1 0301 264-294 31 045F 660 |
| allfields_unstemmed |
10.1016/j.compositesb.2015.10.043 doi GBVA2016019000028.pica (DE-627)ELV024806358 (ELSEVIER)S1359-8368(15)00673-3 DE-627 ger DE-627 rakwb eng 660 660 DE-600 610 VZ 580 540 VZ BIODIV DE-30 fid 42.00 bkl Wang, Qingshan verfasserin aut A unified solution for vibration analysis of functionally graded circular, annular and sector plates with general boundary conditions 2016transfer abstract 31 nicht spezifiziert zzz rdacontent nicht spezifiziert z rdamedia nicht spezifiziert zu rdacarrier The vibrations of functionally graded circular plates, annular plates, and annular, circular sectorial plates have been traditionally treated as different boundary value problems, which results in numerous specific solution algorithms and procedures. It is the problem itself that has been an overwhelming task for a new researcher or application engineer to comprehend. Furthermore each type of plate usually needs treating separately when different boundary conditions are involved. In this paper, a unified method is presented for the vibration analysis of the plates mentioned above with general boundary conditions based on the first-order shear deformation theory and Ritz procedure. The material properties are assumed to vary continuously through the thickness according to the general four-parameter power-law distribution. Regardless of the shapes of the plates and the types of boundary conditions, the displacements of the plates are described as an improved Fourier series expansion which is composed of a double Fourier cosine series and several auxiliary functions. As an innovative point of this work, the auxiliary functions are introduced to eliminate all the relevant discontinuities with the displacement and its derivatives at the boundaries and to accelerate the convergence of series representations. The accuracy, reliability and versatility of the current solution are fully demonstrated and verified through numerical examples involving plates with various shapes and boundary conditions. Some new results of functionally graded circular, annular and sector plates with various boundary conditions are presented, which may serve as datum solutions for future computational methods. In addition, the influence of boundary conditions, the material and geometric parameters on the vibration characteristics of the plates are also reported. The vibrations of functionally graded circular plates, annular plates, and annular, circular sectorial plates have been traditionally treated as different boundary value problems, which results in numerous specific solution algorithms and procedures. It is the problem itself that has been an overwhelming task for a new researcher or application engineer to comprehend. Furthermore each type of plate usually needs treating separately when different boundary conditions are involved. In this paper, a unified method is presented for the vibration analysis of the plates mentioned above with general boundary conditions based on the first-order shear deformation theory and Ritz procedure. The material properties are assumed to vary continuously through the thickness according to the general four-parameter power-law distribution. Regardless of the shapes of the plates and the types of boundary conditions, the displacements of the plates are described as an improved Fourier series expansion which is composed of a double Fourier cosine series and several auxiliary functions. As an innovative point of this work, the auxiliary functions are introduced to eliminate all the relevant discontinuities with the displacement and its derivatives at the boundaries and to accelerate the convergence of series representations. The accuracy, reliability and versatility of the current solution are fully demonstrated and verified through numerical examples involving plates with various shapes and boundary conditions. Some new results of functionally graded circular, annular and sector plates with various boundary conditions are presented, which may serve as datum solutions for future computational methods. In addition, the influence of boundary conditions, the material and geometric parameters on the vibration characteristics of the plates are also reported. C. Numerical analysis Elsevier B. Vibration Elsevier Functionally graded plate Elsevier Shi, Dongyan oth Liang, Qian oth Shi, Xianjie oth Enthalten in Elsevier Barisic, N ELSEVIER O46 – 1548 Long term follow-up of clinical and neurographical abnormalities in eight Croatian patients with triple A syndrome 2013 an international journal Amsterdam [u.a.] (DE-627)ELV011782439 volume:88 year:2016 day:1 month:03 pages:264-294 extent:31 https://doi.org/10.1016/j.compositesb.2015.10.043 Volltext GBV_USEFLAG_U GBV_ELV SYSFLAG_U FID-BIODIV SSG-OLC-PHA 42.00 Biologie: Allgemeines VZ AR 88 2016 1 0301 264-294 31 045F 660 |
| allfieldsGer |
10.1016/j.compositesb.2015.10.043 doi GBVA2016019000028.pica (DE-627)ELV024806358 (ELSEVIER)S1359-8368(15)00673-3 DE-627 ger DE-627 rakwb eng 660 660 DE-600 610 VZ 580 540 VZ BIODIV DE-30 fid 42.00 bkl Wang, Qingshan verfasserin aut A unified solution for vibration analysis of functionally graded circular, annular and sector plates with general boundary conditions 2016transfer abstract 31 nicht spezifiziert zzz rdacontent nicht spezifiziert z rdamedia nicht spezifiziert zu rdacarrier The vibrations of functionally graded circular plates, annular plates, and annular, circular sectorial plates have been traditionally treated as different boundary value problems, which results in numerous specific solution algorithms and procedures. It is the problem itself that has been an overwhelming task for a new researcher or application engineer to comprehend. Furthermore each type of plate usually needs treating separately when different boundary conditions are involved. In this paper, a unified method is presented for the vibration analysis of the plates mentioned above with general boundary conditions based on the first-order shear deformation theory and Ritz procedure. The material properties are assumed to vary continuously through the thickness according to the general four-parameter power-law distribution. Regardless of the shapes of the plates and the types of boundary conditions, the displacements of the plates are described as an improved Fourier series expansion which is composed of a double Fourier cosine series and several auxiliary functions. As an innovative point of this work, the auxiliary functions are introduced to eliminate all the relevant discontinuities with the displacement and its derivatives at the boundaries and to accelerate the convergence of series representations. The accuracy, reliability and versatility of the current solution are fully demonstrated and verified through numerical examples involving plates with various shapes and boundary conditions. Some new results of functionally graded circular, annular and sector plates with various boundary conditions are presented, which may serve as datum solutions for future computational methods. In addition, the influence of boundary conditions, the material and geometric parameters on the vibration characteristics of the plates are also reported. The vibrations of functionally graded circular plates, annular plates, and annular, circular sectorial plates have been traditionally treated as different boundary value problems, which results in numerous specific solution algorithms and procedures. It is the problem itself that has been an overwhelming task for a new researcher or application engineer to comprehend. Furthermore each type of plate usually needs treating separately when different boundary conditions are involved. In this paper, a unified method is presented for the vibration analysis of the plates mentioned above with general boundary conditions based on the first-order shear deformation theory and Ritz procedure. The material properties are assumed to vary continuously through the thickness according to the general four-parameter power-law distribution. Regardless of the shapes of the plates and the types of boundary conditions, the displacements of the plates are described as an improved Fourier series expansion which is composed of a double Fourier cosine series and several auxiliary functions. As an innovative point of this work, the auxiliary functions are introduced to eliminate all the relevant discontinuities with the displacement and its derivatives at the boundaries and to accelerate the convergence of series representations. The accuracy, reliability and versatility of the current solution are fully demonstrated and verified through numerical examples involving plates with various shapes and boundary conditions. Some new results of functionally graded circular, annular and sector plates with various boundary conditions are presented, which may serve as datum solutions for future computational methods. In addition, the influence of boundary conditions, the material and geometric parameters on the vibration characteristics of the plates are also reported. C. Numerical analysis Elsevier B. Vibration Elsevier Functionally graded plate Elsevier Shi, Dongyan oth Liang, Qian oth Shi, Xianjie oth Enthalten in Elsevier Barisic, N ELSEVIER O46 – 1548 Long term follow-up of clinical and neurographical abnormalities in eight Croatian patients with triple A syndrome 2013 an international journal Amsterdam [u.a.] (DE-627)ELV011782439 volume:88 year:2016 day:1 month:03 pages:264-294 extent:31 https://doi.org/10.1016/j.compositesb.2015.10.043 Volltext GBV_USEFLAG_U GBV_ELV SYSFLAG_U FID-BIODIV SSG-OLC-PHA 42.00 Biologie: Allgemeines VZ AR 88 2016 1 0301 264-294 31 045F 660 |
| allfieldsSound |
10.1016/j.compositesb.2015.10.043 doi GBVA2016019000028.pica (DE-627)ELV024806358 (ELSEVIER)S1359-8368(15)00673-3 DE-627 ger DE-627 rakwb eng 660 660 DE-600 610 VZ 580 540 VZ BIODIV DE-30 fid 42.00 bkl Wang, Qingshan verfasserin aut A unified solution for vibration analysis of functionally graded circular, annular and sector plates with general boundary conditions 2016transfer abstract 31 nicht spezifiziert zzz rdacontent nicht spezifiziert z rdamedia nicht spezifiziert zu rdacarrier The vibrations of functionally graded circular plates, annular plates, and annular, circular sectorial plates have been traditionally treated as different boundary value problems, which results in numerous specific solution algorithms and procedures. It is the problem itself that has been an overwhelming task for a new researcher or application engineer to comprehend. Furthermore each type of plate usually needs treating separately when different boundary conditions are involved. In this paper, a unified method is presented for the vibration analysis of the plates mentioned above with general boundary conditions based on the first-order shear deformation theory and Ritz procedure. The material properties are assumed to vary continuously through the thickness according to the general four-parameter power-law distribution. Regardless of the shapes of the plates and the types of boundary conditions, the displacements of the plates are described as an improved Fourier series expansion which is composed of a double Fourier cosine series and several auxiliary functions. As an innovative point of this work, the auxiliary functions are introduced to eliminate all the relevant discontinuities with the displacement and its derivatives at the boundaries and to accelerate the convergence of series representations. The accuracy, reliability and versatility of the current solution are fully demonstrated and verified through numerical examples involving plates with various shapes and boundary conditions. Some new results of functionally graded circular, annular and sector plates with various boundary conditions are presented, which may serve as datum solutions for future computational methods. In addition, the influence of boundary conditions, the material and geometric parameters on the vibration characteristics of the plates are also reported. The vibrations of functionally graded circular plates, annular plates, and annular, circular sectorial plates have been traditionally treated as different boundary value problems, which results in numerous specific solution algorithms and procedures. It is the problem itself that has been an overwhelming task for a new researcher or application engineer to comprehend. Furthermore each type of plate usually needs treating separately when different boundary conditions are involved. In this paper, a unified method is presented for the vibration analysis of the plates mentioned above with general boundary conditions based on the first-order shear deformation theory and Ritz procedure. The material properties are assumed to vary continuously through the thickness according to the general four-parameter power-law distribution. Regardless of the shapes of the plates and the types of boundary conditions, the displacements of the plates are described as an improved Fourier series expansion which is composed of a double Fourier cosine series and several auxiliary functions. As an innovative point of this work, the auxiliary functions are introduced to eliminate all the relevant discontinuities with the displacement and its derivatives at the boundaries and to accelerate the convergence of series representations. The accuracy, reliability and versatility of the current solution are fully demonstrated and verified through numerical examples involving plates with various shapes and boundary conditions. Some new results of functionally graded circular, annular and sector plates with various boundary conditions are presented, which may serve as datum solutions for future computational methods. In addition, the influence of boundary conditions, the material and geometric parameters on the vibration characteristics of the plates are also reported. C. Numerical analysis Elsevier B. Vibration Elsevier Functionally graded plate Elsevier Shi, Dongyan oth Liang, Qian oth Shi, Xianjie oth Enthalten in Elsevier Barisic, N ELSEVIER O46 – 1548 Long term follow-up of clinical and neurographical abnormalities in eight Croatian patients with triple A syndrome 2013 an international journal Amsterdam [u.a.] (DE-627)ELV011782439 volume:88 year:2016 day:1 month:03 pages:264-294 extent:31 https://doi.org/10.1016/j.compositesb.2015.10.043 Volltext GBV_USEFLAG_U GBV_ELV SYSFLAG_U FID-BIODIV SSG-OLC-PHA 42.00 Biologie: Allgemeines VZ AR 88 2016 1 0301 264-294 31 045F 660 |
| language |
English |
| source |
Enthalten in O46 – 1548 Long term follow-up of clinical and neurographical abnormalities in eight Croatian patients with triple A syndrome Amsterdam [u.a.] volume:88 year:2016 day:1 month:03 pages:264-294 extent:31 |
| sourceStr |
Enthalten in O46 – 1548 Long term follow-up of clinical and neurographical abnormalities in eight Croatian patients with triple A syndrome Amsterdam [u.a.] volume:88 year:2016 day:1 month:03 pages:264-294 extent:31 |
| format_phy_str_mv |
Article |
| bklname |
Biologie: Allgemeines |
| institution |
findex.gbv.de |
| topic_facet |
C. Numerical analysis B. Vibration Functionally graded plate |
| dewey-raw |
660 |
| isfreeaccess_bool |
false |
| container_title |
O46 – 1548 Long term follow-up of clinical and neurographical abnormalities in eight Croatian patients with triple A syndrome |
| authorswithroles_txt_mv |
Wang, Qingshan @@aut@@ Shi, Dongyan @@oth@@ Liang, Qian @@oth@@ Shi, Xianjie @@oth@@ |
| publishDateDaySort_date |
2016-01-01T00:00:00Z |
| hierarchy_top_id |
ELV011782439 |
| dewey-sort |
3660 |
| id |
ELV024806358 |
| language_de |
englisch |
| fullrecord |
<?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>01000caa a22002652 4500</leader><controlfield tag="001">ELV024806358</controlfield><controlfield tag="003">DE-627</controlfield><controlfield tag="005">20230625143524.0</controlfield><controlfield tag="007">cr uuu---uuuuu</controlfield><controlfield tag="008">180603s2016 xx |||||o 00| ||eng c</controlfield><datafield tag="024" ind1="7" ind2=" "><subfield code="a">10.1016/j.compositesb.2015.10.043</subfield><subfield code="2">doi</subfield></datafield><datafield tag="028" ind1="5" ind2="2"><subfield code="a">GBVA2016019000028.pica</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-627)ELV024806358</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(ELSEVIER)S1359-8368(15)00673-3</subfield></datafield><datafield tag="040" ind1=" " ind2=" "><subfield code="a">DE-627</subfield><subfield code="b">ger</subfield><subfield code="c">DE-627</subfield><subfield code="e">rakwb</subfield></datafield><datafield tag="041" ind1=" " ind2=" "><subfield code="a">eng</subfield></datafield><datafield tag="082" ind1="0" ind2=" "><subfield code="a">660</subfield></datafield><datafield tag="082" ind1="0" ind2="4"><subfield code="a">660</subfield><subfield code="q">DE-600</subfield></datafield><datafield tag="082" ind1="0" ind2="4"><subfield code="a">610</subfield><subfield code="q">VZ</subfield></datafield><datafield tag="082" ind1="0" ind2="4"><subfield code="a">580</subfield><subfield code="a">540</subfield><subfield code="q">VZ</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">BIODIV</subfield><subfield code="q">DE-30</subfield><subfield code="2">fid</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">42.00</subfield><subfield code="2">bkl</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Wang, Qingshan</subfield><subfield code="e">verfasserin</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">A unified solution for vibration analysis of functionally graded circular, annular and sector plates with general boundary conditions</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="c">2016transfer abstract</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">31</subfield></datafield><datafield tag="336" ind1=" " ind2=" "><subfield code="a">nicht spezifiziert</subfield><subfield code="b">zzz</subfield><subfield code="2">rdacontent</subfield></datafield><datafield tag="337" ind1=" " ind2=" "><subfield code="a">nicht spezifiziert</subfield><subfield code="b">z</subfield><subfield code="2">rdamedia</subfield></datafield><datafield tag="338" ind1=" " ind2=" "><subfield code="a">nicht spezifiziert</subfield><subfield code="b">zu</subfield><subfield code="2">rdacarrier</subfield></datafield><datafield tag="520" ind1=" " ind2=" "><subfield code="a">The vibrations of functionally graded circular plates, annular plates, and annular, circular sectorial plates have been traditionally treated as different boundary value problems, which results in numerous specific solution algorithms and procedures. It is the problem itself that has been an overwhelming task for a new researcher or application engineer to comprehend. Furthermore each type of plate usually needs treating separately when different boundary conditions are involved. In this paper, a unified method is presented for the vibration analysis of the plates mentioned above with general boundary conditions based on the first-order shear deformation theory and Ritz procedure. The material properties are assumed to vary continuously through the thickness according to the general four-parameter power-law distribution. Regardless of the shapes of the plates and the types of boundary conditions, the displacements of the plates are described as an improved Fourier series expansion which is composed of a double Fourier cosine series and several auxiliary functions. As an innovative point of this work, the auxiliary functions are introduced to eliminate all the relevant discontinuities with the displacement and its derivatives at the boundaries and to accelerate the convergence of series representations. The accuracy, reliability and versatility of the current solution are fully demonstrated and verified through numerical examples involving plates with various shapes and boundary conditions. Some new results of functionally graded circular, annular and sector plates with various boundary conditions are presented, which may serve as datum solutions for future computational methods. In addition, the influence of boundary conditions, the material and geometric parameters on the vibration characteristics of the plates are also reported.</subfield></datafield><datafield tag="520" ind1=" " ind2=" "><subfield code="a">The vibrations of functionally graded circular plates, annular plates, and annular, circular sectorial plates have been traditionally treated as different boundary value problems, which results in numerous specific solution algorithms and procedures. It is the problem itself that has been an overwhelming task for a new researcher or application engineer to comprehend. Furthermore each type of plate usually needs treating separately when different boundary conditions are involved. In this paper, a unified method is presented for the vibration analysis of the plates mentioned above with general boundary conditions based on the first-order shear deformation theory and Ritz procedure. The material properties are assumed to vary continuously through the thickness according to the general four-parameter power-law distribution. Regardless of the shapes of the plates and the types of boundary conditions, the displacements of the plates are described as an improved Fourier series expansion which is composed of a double Fourier cosine series and several auxiliary functions. As an innovative point of this work, the auxiliary functions are introduced to eliminate all the relevant discontinuities with the displacement and its derivatives at the boundaries and to accelerate the convergence of series representations. The accuracy, reliability and versatility of the current solution are fully demonstrated and verified through numerical examples involving plates with various shapes and boundary conditions. Some new results of functionally graded circular, annular and sector plates with various boundary conditions are presented, which may serve as datum solutions for future computational methods. In addition, the influence of boundary conditions, the material and geometric parameters on the vibration characteristics of the plates are also reported.</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">C. Numerical analysis</subfield><subfield code="2">Elsevier</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">B. Vibration</subfield><subfield code="2">Elsevier</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">Functionally graded plate</subfield><subfield code="2">Elsevier</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Shi, Dongyan</subfield><subfield code="4">oth</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Liang, Qian</subfield><subfield code="4">oth</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Shi, Xianjie</subfield><subfield code="4">oth</subfield></datafield><datafield tag="773" ind1="0" ind2="8"><subfield code="i">Enthalten in</subfield><subfield code="n">Elsevier</subfield><subfield code="a">Barisic, N ELSEVIER</subfield><subfield code="t">O46 – 1548 Long term follow-up of clinical and neurographical abnormalities in eight Croatian patients with triple A syndrome</subfield><subfield code="d">2013</subfield><subfield code="d">an international journal</subfield><subfield code="g">Amsterdam [u.a.]</subfield><subfield code="w">(DE-627)ELV011782439</subfield></datafield><datafield tag="773" ind1="1" ind2="8"><subfield code="g">volume:88</subfield><subfield code="g">year:2016</subfield><subfield code="g">day:1</subfield><subfield code="g">month:03</subfield><subfield code="g">pages:264-294</subfield><subfield code="g">extent:31</subfield></datafield><datafield tag="856" ind1="4" ind2="0"><subfield code="u">https://doi.org/10.1016/j.compositesb.2015.10.043</subfield><subfield code="3">Volltext</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_USEFLAG_U</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ELV</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">SYSFLAG_U</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">FID-BIODIV</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">SSG-OLC-PHA</subfield></datafield><datafield tag="936" ind1="b" ind2="k"><subfield code="a">42.00</subfield><subfield code="j">Biologie: Allgemeines</subfield><subfield code="q">VZ</subfield></datafield><datafield tag="951" ind1=" " ind2=" "><subfield code="a">AR</subfield></datafield><datafield tag="952" ind1=" " ind2=" "><subfield code="d">88</subfield><subfield code="j">2016</subfield><subfield code="b">1</subfield><subfield code="c">0301</subfield><subfield code="h">264-294</subfield><subfield code="g">31</subfield></datafield><datafield tag="953" ind1=" " ind2=" "><subfield code="2">045F</subfield><subfield code="a">660</subfield></datafield></record></collection>
|
| author |
Wang, Qingshan |
| spellingShingle |
Wang, Qingshan ddc 660 ddc 610 ddc 580 fid BIODIV bkl 42.00 Elsevier C. Numerical analysis Elsevier B. Vibration Elsevier Functionally graded plate A unified solution for vibration analysis of functionally graded circular, annular and sector plates with general boundary conditions |
| authorStr |
Wang, Qingshan |
| ppnlink_with_tag_str_mv |
@@773@@(DE-627)ELV011782439 |
| format |
electronic Article |
| dewey-ones |
660 - Chemical engineering 610 - Medicine & health 580 - Plants (Botany) 540 - Chemistry & allied sciences |
| delete_txt_mv |
keep |
| author_role |
aut |
| collection |
elsevier |
| remote_str |
true |
| illustrated |
Not Illustrated |
| topic_title |
660 660 DE-600 610 VZ 580 540 VZ BIODIV DE-30 fid 42.00 bkl A unified solution for vibration analysis of functionally graded circular, annular and sector plates with general boundary conditions C. Numerical analysis Elsevier B. Vibration Elsevier Functionally graded plate Elsevier |
| topic |
ddc 660 ddc 610 ddc 580 fid BIODIV bkl 42.00 Elsevier C. Numerical analysis Elsevier B. Vibration Elsevier Functionally graded plate |
| topic_unstemmed |
ddc 660 ddc 610 ddc 580 fid BIODIV bkl 42.00 Elsevier C. Numerical analysis Elsevier B. Vibration Elsevier Functionally graded plate |
| topic_browse |
ddc 660 ddc 610 ddc 580 fid BIODIV bkl 42.00 Elsevier C. Numerical analysis Elsevier B. Vibration Elsevier Functionally graded plate |
| format_facet |
Elektronische Aufsätze Aufsätze Elektronische Ressource |
| format_main_str_mv |
Text Zeitschrift/Artikel |
| carriertype_str_mv |
zu |
| author2_variant |
d s ds q l ql x s xs |
| hierarchy_parent_title |
O46 – 1548 Long term follow-up of clinical and neurographical abnormalities in eight Croatian patients with triple A syndrome |
| hierarchy_parent_id |
ELV011782439 |
| dewey-tens |
660 - Chemical engineering 610 - Medicine & health 580 - Plants (Botany) 540 - Chemistry |
| hierarchy_top_title |
O46 – 1548 Long term follow-up of clinical and neurographical abnormalities in eight Croatian patients with triple A syndrome |
| isfreeaccess_txt |
false |
| familylinks_str_mv |
(DE-627)ELV011782439 |
| title |
A unified solution for vibration analysis of functionally graded circular, annular and sector plates with general boundary conditions |
| ctrlnum |
(DE-627)ELV024806358 (ELSEVIER)S1359-8368(15)00673-3 |
| title_full |
A unified solution for vibration analysis of functionally graded circular, annular and sector plates with general boundary conditions |
| author_sort |
Wang, Qingshan |
| journal |
O46 – 1548 Long term follow-up of clinical and neurographical abnormalities in eight Croatian patients with triple A syndrome |
| journalStr |
O46 – 1548 Long term follow-up of clinical and neurographical abnormalities in eight Croatian patients with triple A syndrome |
| lang_code |
eng |
| isOA_bool |
false |
| dewey-hundreds |
600 - Technology 500 - Science |
| recordtype |
marc |
| publishDateSort |
2016 |
| contenttype_str_mv |
zzz |
| container_start_page |
264 |
| author_browse |
Wang, Qingshan |
| container_volume |
88 |
| physical |
31 |
| class |
660 660 DE-600 610 VZ 580 540 VZ BIODIV DE-30 fid 42.00 bkl |
| format_se |
Elektronische Aufsätze |
| author-letter |
Wang, Qingshan |
| doi_str_mv |
10.1016/j.compositesb.2015.10.043 |
| dewey-full |
660 610 580 540 |
| title_sort |
a unified solution for vibration analysis of functionally graded circular, annular and sector plates with general boundary conditions |
| title_auth |
A unified solution for vibration analysis of functionally graded circular, annular and sector plates with general boundary conditions |
| abstract |
The vibrations of functionally graded circular plates, annular plates, and annular, circular sectorial plates have been traditionally treated as different boundary value problems, which results in numerous specific solution algorithms and procedures. It is the problem itself that has been an overwhelming task for a new researcher or application engineer to comprehend. Furthermore each type of plate usually needs treating separately when different boundary conditions are involved. In this paper, a unified method is presented for the vibration analysis of the plates mentioned above with general boundary conditions based on the first-order shear deformation theory and Ritz procedure. The material properties are assumed to vary continuously through the thickness according to the general four-parameter power-law distribution. Regardless of the shapes of the plates and the types of boundary conditions, the displacements of the plates are described as an improved Fourier series expansion which is composed of a double Fourier cosine series and several auxiliary functions. As an innovative point of this work, the auxiliary functions are introduced to eliminate all the relevant discontinuities with the displacement and its derivatives at the boundaries and to accelerate the convergence of series representations. The accuracy, reliability and versatility of the current solution are fully demonstrated and verified through numerical examples involving plates with various shapes and boundary conditions. Some new results of functionally graded circular, annular and sector plates with various boundary conditions are presented, which may serve as datum solutions for future computational methods. In addition, the influence of boundary conditions, the material and geometric parameters on the vibration characteristics of the plates are also reported. |
| abstractGer |
The vibrations of functionally graded circular plates, annular plates, and annular, circular sectorial plates have been traditionally treated as different boundary value problems, which results in numerous specific solution algorithms and procedures. It is the problem itself that has been an overwhelming task for a new researcher or application engineer to comprehend. Furthermore each type of plate usually needs treating separately when different boundary conditions are involved. In this paper, a unified method is presented for the vibration analysis of the plates mentioned above with general boundary conditions based on the first-order shear deformation theory and Ritz procedure. The material properties are assumed to vary continuously through the thickness according to the general four-parameter power-law distribution. Regardless of the shapes of the plates and the types of boundary conditions, the displacements of the plates are described as an improved Fourier series expansion which is composed of a double Fourier cosine series and several auxiliary functions. As an innovative point of this work, the auxiliary functions are introduced to eliminate all the relevant discontinuities with the displacement and its derivatives at the boundaries and to accelerate the convergence of series representations. The accuracy, reliability and versatility of the current solution are fully demonstrated and verified through numerical examples involving plates with various shapes and boundary conditions. Some new results of functionally graded circular, annular and sector plates with various boundary conditions are presented, which may serve as datum solutions for future computational methods. In addition, the influence of boundary conditions, the material and geometric parameters on the vibration characteristics of the plates are also reported. |
| abstract_unstemmed |
The vibrations of functionally graded circular plates, annular plates, and annular, circular sectorial plates have been traditionally treated as different boundary value problems, which results in numerous specific solution algorithms and procedures. It is the problem itself that has been an overwhelming task for a new researcher or application engineer to comprehend. Furthermore each type of plate usually needs treating separately when different boundary conditions are involved. In this paper, a unified method is presented for the vibration analysis of the plates mentioned above with general boundary conditions based on the first-order shear deformation theory and Ritz procedure. The material properties are assumed to vary continuously through the thickness according to the general four-parameter power-law distribution. Regardless of the shapes of the plates and the types of boundary conditions, the displacements of the plates are described as an improved Fourier series expansion which is composed of a double Fourier cosine series and several auxiliary functions. As an innovative point of this work, the auxiliary functions are introduced to eliminate all the relevant discontinuities with the displacement and its derivatives at the boundaries and to accelerate the convergence of series representations. The accuracy, reliability and versatility of the current solution are fully demonstrated and verified through numerical examples involving plates with various shapes and boundary conditions. Some new results of functionally graded circular, annular and sector plates with various boundary conditions are presented, which may serve as datum solutions for future computational methods. In addition, the influence of boundary conditions, the material and geometric parameters on the vibration characteristics of the plates are also reported. |
| collection_details |
GBV_USEFLAG_U GBV_ELV SYSFLAG_U FID-BIODIV SSG-OLC-PHA |
| title_short |
A unified solution for vibration analysis of functionally graded circular, annular and sector plates with general boundary conditions |
| url |
https://doi.org/10.1016/j.compositesb.2015.10.043 |
| remote_bool |
true |
| author2 |
Shi, Dongyan Liang, Qian Shi, Xianjie |
| author2Str |
Shi, Dongyan Liang, Qian Shi, Xianjie |
| ppnlink |
ELV011782439 |
| mediatype_str_mv |
z |
| isOA_txt |
false |
| hochschulschrift_bool |
false |
| author2_role |
oth oth oth |
| doi_str |
10.1016/j.compositesb.2015.10.043 |
| up_date |
2024-07-06T22:23:47.249Z |
| _version_ |
1803870144823296000 |
| fullrecord_marcxml |
<?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>01000caa a22002652 4500</leader><controlfield tag="001">ELV024806358</controlfield><controlfield tag="003">DE-627</controlfield><controlfield tag="005">20230625143524.0</controlfield><controlfield tag="007">cr uuu---uuuuu</controlfield><controlfield tag="008">180603s2016 xx |||||o 00| ||eng c</controlfield><datafield tag="024" ind1="7" ind2=" "><subfield code="a">10.1016/j.compositesb.2015.10.043</subfield><subfield code="2">doi</subfield></datafield><datafield tag="028" ind1="5" ind2="2"><subfield code="a">GBVA2016019000028.pica</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-627)ELV024806358</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(ELSEVIER)S1359-8368(15)00673-3</subfield></datafield><datafield tag="040" ind1=" " ind2=" "><subfield code="a">DE-627</subfield><subfield code="b">ger</subfield><subfield code="c">DE-627</subfield><subfield code="e">rakwb</subfield></datafield><datafield tag="041" ind1=" " ind2=" "><subfield code="a">eng</subfield></datafield><datafield tag="082" ind1="0" ind2=" "><subfield code="a">660</subfield></datafield><datafield tag="082" ind1="0" ind2="4"><subfield code="a">660</subfield><subfield code="q">DE-600</subfield></datafield><datafield tag="082" ind1="0" ind2="4"><subfield code="a">610</subfield><subfield code="q">VZ</subfield></datafield><datafield tag="082" ind1="0" ind2="4"><subfield code="a">580</subfield><subfield code="a">540</subfield><subfield code="q">VZ</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">BIODIV</subfield><subfield code="q">DE-30</subfield><subfield code="2">fid</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">42.00</subfield><subfield code="2">bkl</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Wang, Qingshan</subfield><subfield code="e">verfasserin</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">A unified solution for vibration analysis of functionally graded circular, annular and sector plates with general boundary conditions</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="c">2016transfer abstract</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">31</subfield></datafield><datafield tag="336" ind1=" " ind2=" "><subfield code="a">nicht spezifiziert</subfield><subfield code="b">zzz</subfield><subfield code="2">rdacontent</subfield></datafield><datafield tag="337" ind1=" " ind2=" "><subfield code="a">nicht spezifiziert</subfield><subfield code="b">z</subfield><subfield code="2">rdamedia</subfield></datafield><datafield tag="338" ind1=" " ind2=" "><subfield code="a">nicht spezifiziert</subfield><subfield code="b">zu</subfield><subfield code="2">rdacarrier</subfield></datafield><datafield tag="520" ind1=" " ind2=" "><subfield code="a">The vibrations of functionally graded circular plates, annular plates, and annular, circular sectorial plates have been traditionally treated as different boundary value problems, which results in numerous specific solution algorithms and procedures. It is the problem itself that has been an overwhelming task for a new researcher or application engineer to comprehend. Furthermore each type of plate usually needs treating separately when different boundary conditions are involved. In this paper, a unified method is presented for the vibration analysis of the plates mentioned above with general boundary conditions based on the first-order shear deformation theory and Ritz procedure. The material properties are assumed to vary continuously through the thickness according to the general four-parameter power-law distribution. Regardless of the shapes of the plates and the types of boundary conditions, the displacements of the plates are described as an improved Fourier series expansion which is composed of a double Fourier cosine series and several auxiliary functions. As an innovative point of this work, the auxiliary functions are introduced to eliminate all the relevant discontinuities with the displacement and its derivatives at the boundaries and to accelerate the convergence of series representations. The accuracy, reliability and versatility of the current solution are fully demonstrated and verified through numerical examples involving plates with various shapes and boundary conditions. Some new results of functionally graded circular, annular and sector plates with various boundary conditions are presented, which may serve as datum solutions for future computational methods. In addition, the influence of boundary conditions, the material and geometric parameters on the vibration characteristics of the plates are also reported.</subfield></datafield><datafield tag="520" ind1=" " ind2=" "><subfield code="a">The vibrations of functionally graded circular plates, annular plates, and annular, circular sectorial plates have been traditionally treated as different boundary value problems, which results in numerous specific solution algorithms and procedures. It is the problem itself that has been an overwhelming task for a new researcher or application engineer to comprehend. Furthermore each type of plate usually needs treating separately when different boundary conditions are involved. In this paper, a unified method is presented for the vibration analysis of the plates mentioned above with general boundary conditions based on the first-order shear deformation theory and Ritz procedure. The material properties are assumed to vary continuously through the thickness according to the general four-parameter power-law distribution. Regardless of the shapes of the plates and the types of boundary conditions, the displacements of the plates are described as an improved Fourier series expansion which is composed of a double Fourier cosine series and several auxiliary functions. As an innovative point of this work, the auxiliary functions are introduced to eliminate all the relevant discontinuities with the displacement and its derivatives at the boundaries and to accelerate the convergence of series representations. The accuracy, reliability and versatility of the current solution are fully demonstrated and verified through numerical examples involving plates with various shapes and boundary conditions. Some new results of functionally graded circular, annular and sector plates with various boundary conditions are presented, which may serve as datum solutions for future computational methods. In addition, the influence of boundary conditions, the material and geometric parameters on the vibration characteristics of the plates are also reported.</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">C. Numerical analysis</subfield><subfield code="2">Elsevier</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">B. Vibration</subfield><subfield code="2">Elsevier</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">Functionally graded plate</subfield><subfield code="2">Elsevier</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Shi, Dongyan</subfield><subfield code="4">oth</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Liang, Qian</subfield><subfield code="4">oth</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Shi, Xianjie</subfield><subfield code="4">oth</subfield></datafield><datafield tag="773" ind1="0" ind2="8"><subfield code="i">Enthalten in</subfield><subfield code="n">Elsevier</subfield><subfield code="a">Barisic, N ELSEVIER</subfield><subfield code="t">O46 – 1548 Long term follow-up of clinical and neurographical abnormalities in eight Croatian patients with triple A syndrome</subfield><subfield code="d">2013</subfield><subfield code="d">an international journal</subfield><subfield code="g">Amsterdam [u.a.]</subfield><subfield code="w">(DE-627)ELV011782439</subfield></datafield><datafield tag="773" ind1="1" ind2="8"><subfield code="g">volume:88</subfield><subfield code="g">year:2016</subfield><subfield code="g">day:1</subfield><subfield code="g">month:03</subfield><subfield code="g">pages:264-294</subfield><subfield code="g">extent:31</subfield></datafield><datafield tag="856" ind1="4" ind2="0"><subfield code="u">https://doi.org/10.1016/j.compositesb.2015.10.043</subfield><subfield code="3">Volltext</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_USEFLAG_U</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ELV</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">SYSFLAG_U</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">FID-BIODIV</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">SSG-OLC-PHA</subfield></datafield><datafield tag="936" ind1="b" ind2="k"><subfield code="a">42.00</subfield><subfield code="j">Biologie: Allgemeines</subfield><subfield code="q">VZ</subfield></datafield><datafield tag="951" ind1=" " ind2=" "><subfield code="a">AR</subfield></datafield><datafield tag="952" ind1=" " ind2=" "><subfield code="d">88</subfield><subfield code="j">2016</subfield><subfield code="b">1</subfield><subfield code="c">0301</subfield><subfield code="h">264-294</subfield><subfield code="g">31</subfield></datafield><datafield tag="953" ind1=" " ind2=" "><subfield code="2">045F</subfield><subfield code="a">660</subfield></datafield></record></collection>
|
| score |
7.401515 |