A semi analytical method for the free vibration of doubly-curved shells of revolution
In this paper, a semi analytical method is used to investigate the free vibration of doubly-curved shells of revolution with arbitrary boundary conditions. The doubly-curved shells of revolution are divided into their segments in the meridional direction, and the theoretical model for vibration anal...
Ausführliche Beschreibung
Gespeichert in:
| Autor*in: |
Pang, Fuzhen [verfasserIn] |
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| Format: |
E-Artikel |
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| Sprache: |
Englisch |
| Erschienen: |
2018transfer abstract |
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| Schlagwörter: |
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| Umfang: |
20 |
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| Übergeordnetes Werk: |
Enthalten in: Growth and welfare implications of sector-specific innovations - Güner, İlhan ELSEVIER, 2022, an international journal, Amsterdam [u.a.] |
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| Übergeordnetes Werk: |
volume:75 ; year:2018 ; number:9 ; day:1 ; month:05 ; pages:3249-3268 ; extent:20 |
| Links: |
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| DOI / URN: |
10.1016/j.camwa.2018.01.045 |
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ELV042669480 |
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| 245 | 1 | 0 | |a A semi analytical method for the free vibration of doubly-curved shells of revolution |
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| 520 | |a In this paper, a semi analytical method is used to investigate the free vibration of doubly-curved shells of revolution with arbitrary boundary conditions. The doubly-curved shells of revolution are divided into their segments in the meridional direction, and the theoretical model for vibration analysis is formulated by applying Flügge’s thin shell theory. Regardless of the boundary conditions, the displacement functions of shell segments are composed by the Jacobi polynomials along the revolution axis direction and the standard Fourier series along the circumferential direction. The boundary conditions at the ends of the doubly-curved shells of revolution and the continuous conditions at two adjacent segments were enforced by the penalty method. Then, the natural frequencies of the doubly-curved shells are obtained by using the Rayleigh–Ritz method. For arbitrary boundary conditions, this method does not require any changes to the mathematical model or the displacement functions, and it is very effective in the analysis of free vibration for doubly-curved shells of revolution. The credibility and exactness of proposed method are compared with the results of finite element method (FEM), and some numerical results are reported for free vibration of the doubly-curved shells of revolution under classical and elastic boundary conditions. Results of this paper can provide reference data for future studies in related field. | ||
| 520 | |a In this paper, a semi analytical method is used to investigate the free vibration of doubly-curved shells of revolution with arbitrary boundary conditions. The doubly-curved shells of revolution are divided into their segments in the meridional direction, and the theoretical model for vibration analysis is formulated by applying Flügge’s thin shell theory. Regardless of the boundary conditions, the displacement functions of shell segments are composed by the Jacobi polynomials along the revolution axis direction and the standard Fourier series along the circumferential direction. The boundary conditions at the ends of the doubly-curved shells of revolution and the continuous conditions at two adjacent segments were enforced by the penalty method. Then, the natural frequencies of the doubly-curved shells are obtained by using the Rayleigh–Ritz method. For arbitrary boundary conditions, this method does not require any changes to the mathematical model or the displacement functions, and it is very effective in the analysis of free vibration for doubly-curved shells of revolution. The credibility and exactness of proposed method are compared with the results of finite element method (FEM), and some numerical results are reported for free vibration of the doubly-curved shells of revolution under classical and elastic boundary conditions. Results of this paper can provide reference data for future studies in related field. | ||
| 650 | 7 | |a Arbitrary boundary conditions |2 Elsevier | |
| 650 | 7 | |a Semi analytical method |2 Elsevier | |
| 650 | 7 | |a Doubly-curved shells of revolution |2 Elsevier | |
| 650 | 7 | |a Free vibration |2 Elsevier | |
| 650 | 7 | |a Rayleigh–Ritz method |2 Elsevier | |
| 700 | 1 | |a Li, Haichao |4 oth | |
| 700 | 1 | |a Wang, Xueren |4 oth | |
| 700 | 1 | |a Miao, Xuhong |4 oth | |
| 700 | 1 | |a Li, Shuo |4 oth | |
| 773 | 0 | 8 | |i Enthalten in |n Elsevier Science |a Güner, İlhan ELSEVIER |t Growth and welfare implications of sector-specific innovations |d 2022 |d an international journal |g Amsterdam [u.a.] |w (DE-627)ELV008987521 |
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10.1016/j.camwa.2018.01.045 doi GBV00000000000198A.pica (DE-627)ELV042669480 (ELSEVIER)S0898-1221(18)30061-0 DE-627 ger DE-627 rakwb eng 510 004 510 DE-600 004 DE-600 330 VZ 83.03 bkl 83.10 bkl Pang, Fuzhen verfasserin aut A semi analytical method for the free vibration of doubly-curved shells of revolution 2018transfer abstract 20 nicht spezifiziert zzz rdacontent nicht spezifiziert z rdamedia nicht spezifiziert zu rdacarrier In this paper, a semi analytical method is used to investigate the free vibration of doubly-curved shells of revolution with arbitrary boundary conditions. The doubly-curved shells of revolution are divided into their segments in the meridional direction, and the theoretical model for vibration analysis is formulated by applying Flügge’s thin shell theory. Regardless of the boundary conditions, the displacement functions of shell segments are composed by the Jacobi polynomials along the revolution axis direction and the standard Fourier series along the circumferential direction. The boundary conditions at the ends of the doubly-curved shells of revolution and the continuous conditions at two adjacent segments were enforced by the penalty method. Then, the natural frequencies of the doubly-curved shells are obtained by using the Rayleigh–Ritz method. For arbitrary boundary conditions, this method does not require any changes to the mathematical model or the displacement functions, and it is very effective in the analysis of free vibration for doubly-curved shells of revolution. The credibility and exactness of proposed method are compared with the results of finite element method (FEM), and some numerical results are reported for free vibration of the doubly-curved shells of revolution under classical and elastic boundary conditions. Results of this paper can provide reference data for future studies in related field. In this paper, a semi analytical method is used to investigate the free vibration of doubly-curved shells of revolution with arbitrary boundary conditions. The doubly-curved shells of revolution are divided into their segments in the meridional direction, and the theoretical model for vibration analysis is formulated by applying Flügge’s thin shell theory. Regardless of the boundary conditions, the displacement functions of shell segments are composed by the Jacobi polynomials along the revolution axis direction and the standard Fourier series along the circumferential direction. The boundary conditions at the ends of the doubly-curved shells of revolution and the continuous conditions at two adjacent segments were enforced by the penalty method. Then, the natural frequencies of the doubly-curved shells are obtained by using the Rayleigh–Ritz method. For arbitrary boundary conditions, this method does not require any changes to the mathematical model or the displacement functions, and it is very effective in the analysis of free vibration for doubly-curved shells of revolution. The credibility and exactness of proposed method are compared with the results of finite element method (FEM), and some numerical results are reported for free vibration of the doubly-curved shells of revolution under classical and elastic boundary conditions. Results of this paper can provide reference data for future studies in related field. Arbitrary boundary conditions Elsevier Semi analytical method Elsevier Doubly-curved shells of revolution Elsevier Free vibration Elsevier Rayleigh–Ritz method Elsevier Li, Haichao oth Wang, Xueren oth Miao, Xuhong oth Li, Shuo oth Enthalten in Elsevier Science Güner, İlhan ELSEVIER Growth and welfare implications of sector-specific innovations 2022 an international journal Amsterdam [u.a.] (DE-627)ELV008987521 volume:75 year:2018 number:9 day:1 month:05 pages:3249-3268 extent:20 https://doi.org/10.1016/j.camwa.2018.01.045 Volltext GBV_USEFLAG_U GBV_ELV SYSFLAG_U 83.03 Methoden und Techniken der Volkswirtschaft VZ 83.10 Wirtschaftstheorie: Allgemeines VZ AR 75 2018 9 1 0501 3249-3268 20 045F 510 |
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10.1016/j.camwa.2018.01.045 doi GBV00000000000198A.pica (DE-627)ELV042669480 (ELSEVIER)S0898-1221(18)30061-0 DE-627 ger DE-627 rakwb eng 510 004 510 DE-600 004 DE-600 330 VZ 83.03 bkl 83.10 bkl Pang, Fuzhen verfasserin aut A semi analytical method for the free vibration of doubly-curved shells of revolution 2018transfer abstract 20 nicht spezifiziert zzz rdacontent nicht spezifiziert z rdamedia nicht spezifiziert zu rdacarrier In this paper, a semi analytical method is used to investigate the free vibration of doubly-curved shells of revolution with arbitrary boundary conditions. The doubly-curved shells of revolution are divided into their segments in the meridional direction, and the theoretical model for vibration analysis is formulated by applying Flügge’s thin shell theory. Regardless of the boundary conditions, the displacement functions of shell segments are composed by the Jacobi polynomials along the revolution axis direction and the standard Fourier series along the circumferential direction. The boundary conditions at the ends of the doubly-curved shells of revolution and the continuous conditions at two adjacent segments were enforced by the penalty method. Then, the natural frequencies of the doubly-curved shells are obtained by using the Rayleigh–Ritz method. For arbitrary boundary conditions, this method does not require any changes to the mathematical model or the displacement functions, and it is very effective in the analysis of free vibration for doubly-curved shells of revolution. The credibility and exactness of proposed method are compared with the results of finite element method (FEM), and some numerical results are reported for free vibration of the doubly-curved shells of revolution under classical and elastic boundary conditions. Results of this paper can provide reference data for future studies in related field. In this paper, a semi analytical method is used to investigate the free vibration of doubly-curved shells of revolution with arbitrary boundary conditions. The doubly-curved shells of revolution are divided into their segments in the meridional direction, and the theoretical model for vibration analysis is formulated by applying Flügge’s thin shell theory. Regardless of the boundary conditions, the displacement functions of shell segments are composed by the Jacobi polynomials along the revolution axis direction and the standard Fourier series along the circumferential direction. The boundary conditions at the ends of the doubly-curved shells of revolution and the continuous conditions at two adjacent segments were enforced by the penalty method. Then, the natural frequencies of the doubly-curved shells are obtained by using the Rayleigh–Ritz method. For arbitrary boundary conditions, this method does not require any changes to the mathematical model or the displacement functions, and it is very effective in the analysis of free vibration for doubly-curved shells of revolution. The credibility and exactness of proposed method are compared with the results of finite element method (FEM), and some numerical results are reported for free vibration of the doubly-curved shells of revolution under classical and elastic boundary conditions. Results of this paper can provide reference data for future studies in related field. Arbitrary boundary conditions Elsevier Semi analytical method Elsevier Doubly-curved shells of revolution Elsevier Free vibration Elsevier Rayleigh–Ritz method Elsevier Li, Haichao oth Wang, Xueren oth Miao, Xuhong oth Li, Shuo oth Enthalten in Elsevier Science Güner, İlhan ELSEVIER Growth and welfare implications of sector-specific innovations 2022 an international journal Amsterdam [u.a.] (DE-627)ELV008987521 volume:75 year:2018 number:9 day:1 month:05 pages:3249-3268 extent:20 https://doi.org/10.1016/j.camwa.2018.01.045 Volltext GBV_USEFLAG_U GBV_ELV SYSFLAG_U 83.03 Methoden und Techniken der Volkswirtschaft VZ 83.10 Wirtschaftstheorie: Allgemeines VZ AR 75 2018 9 1 0501 3249-3268 20 045F 510 |
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10.1016/j.camwa.2018.01.045 doi GBV00000000000198A.pica (DE-627)ELV042669480 (ELSEVIER)S0898-1221(18)30061-0 DE-627 ger DE-627 rakwb eng 510 004 510 DE-600 004 DE-600 330 VZ 83.03 bkl 83.10 bkl Pang, Fuzhen verfasserin aut A semi analytical method for the free vibration of doubly-curved shells of revolution 2018transfer abstract 20 nicht spezifiziert zzz rdacontent nicht spezifiziert z rdamedia nicht spezifiziert zu rdacarrier In this paper, a semi analytical method is used to investigate the free vibration of doubly-curved shells of revolution with arbitrary boundary conditions. The doubly-curved shells of revolution are divided into their segments in the meridional direction, and the theoretical model for vibration analysis is formulated by applying Flügge’s thin shell theory. Regardless of the boundary conditions, the displacement functions of shell segments are composed by the Jacobi polynomials along the revolution axis direction and the standard Fourier series along the circumferential direction. The boundary conditions at the ends of the doubly-curved shells of revolution and the continuous conditions at two adjacent segments were enforced by the penalty method. Then, the natural frequencies of the doubly-curved shells are obtained by using the Rayleigh–Ritz method. For arbitrary boundary conditions, this method does not require any changes to the mathematical model or the displacement functions, and it is very effective in the analysis of free vibration for doubly-curved shells of revolution. The credibility and exactness of proposed method are compared with the results of finite element method (FEM), and some numerical results are reported for free vibration of the doubly-curved shells of revolution under classical and elastic boundary conditions. Results of this paper can provide reference data for future studies in related field. In this paper, a semi analytical method is used to investigate the free vibration of doubly-curved shells of revolution with arbitrary boundary conditions. The doubly-curved shells of revolution are divided into their segments in the meridional direction, and the theoretical model for vibration analysis is formulated by applying Flügge’s thin shell theory. Regardless of the boundary conditions, the displacement functions of shell segments are composed by the Jacobi polynomials along the revolution axis direction and the standard Fourier series along the circumferential direction. The boundary conditions at the ends of the doubly-curved shells of revolution and the continuous conditions at two adjacent segments were enforced by the penalty method. Then, the natural frequencies of the doubly-curved shells are obtained by using the Rayleigh–Ritz method. For arbitrary boundary conditions, this method does not require any changes to the mathematical model or the displacement functions, and it is very effective in the analysis of free vibration for doubly-curved shells of revolution. The credibility and exactness of proposed method are compared with the results of finite element method (FEM), and some numerical results are reported for free vibration of the doubly-curved shells of revolution under classical and elastic boundary conditions. Results of this paper can provide reference data for future studies in related field. Arbitrary boundary conditions Elsevier Semi analytical method Elsevier Doubly-curved shells of revolution Elsevier Free vibration Elsevier Rayleigh–Ritz method Elsevier Li, Haichao oth Wang, Xueren oth Miao, Xuhong oth Li, Shuo oth Enthalten in Elsevier Science Güner, İlhan ELSEVIER Growth and welfare implications of sector-specific innovations 2022 an international journal Amsterdam [u.a.] (DE-627)ELV008987521 volume:75 year:2018 number:9 day:1 month:05 pages:3249-3268 extent:20 https://doi.org/10.1016/j.camwa.2018.01.045 Volltext GBV_USEFLAG_U GBV_ELV SYSFLAG_U 83.03 Methoden und Techniken der Volkswirtschaft VZ 83.10 Wirtschaftstheorie: Allgemeines VZ AR 75 2018 9 1 0501 3249-3268 20 045F 510 |
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10.1016/j.camwa.2018.01.045 doi GBV00000000000198A.pica (DE-627)ELV042669480 (ELSEVIER)S0898-1221(18)30061-0 DE-627 ger DE-627 rakwb eng 510 004 510 DE-600 004 DE-600 330 VZ 83.03 bkl 83.10 bkl Pang, Fuzhen verfasserin aut A semi analytical method for the free vibration of doubly-curved shells of revolution 2018transfer abstract 20 nicht spezifiziert zzz rdacontent nicht spezifiziert z rdamedia nicht spezifiziert zu rdacarrier In this paper, a semi analytical method is used to investigate the free vibration of doubly-curved shells of revolution with arbitrary boundary conditions. The doubly-curved shells of revolution are divided into their segments in the meridional direction, and the theoretical model for vibration analysis is formulated by applying Flügge’s thin shell theory. Regardless of the boundary conditions, the displacement functions of shell segments are composed by the Jacobi polynomials along the revolution axis direction and the standard Fourier series along the circumferential direction. The boundary conditions at the ends of the doubly-curved shells of revolution and the continuous conditions at two adjacent segments were enforced by the penalty method. Then, the natural frequencies of the doubly-curved shells are obtained by using the Rayleigh–Ritz method. For arbitrary boundary conditions, this method does not require any changes to the mathematical model or the displacement functions, and it is very effective in the analysis of free vibration for doubly-curved shells of revolution. The credibility and exactness of proposed method are compared with the results of finite element method (FEM), and some numerical results are reported for free vibration of the doubly-curved shells of revolution under classical and elastic boundary conditions. Results of this paper can provide reference data for future studies in related field. In this paper, a semi analytical method is used to investigate the free vibration of doubly-curved shells of revolution with arbitrary boundary conditions. The doubly-curved shells of revolution are divided into their segments in the meridional direction, and the theoretical model for vibration analysis is formulated by applying Flügge’s thin shell theory. Regardless of the boundary conditions, the displacement functions of shell segments are composed by the Jacobi polynomials along the revolution axis direction and the standard Fourier series along the circumferential direction. The boundary conditions at the ends of the doubly-curved shells of revolution and the continuous conditions at two adjacent segments were enforced by the penalty method. Then, the natural frequencies of the doubly-curved shells are obtained by using the Rayleigh–Ritz method. For arbitrary boundary conditions, this method does not require any changes to the mathematical model or the displacement functions, and it is very effective in the analysis of free vibration for doubly-curved shells of revolution. The credibility and exactness of proposed method are compared with the results of finite element method (FEM), and some numerical results are reported for free vibration of the doubly-curved shells of revolution under classical and elastic boundary conditions. Results of this paper can provide reference data for future studies in related field. Arbitrary boundary conditions Elsevier Semi analytical method Elsevier Doubly-curved shells of revolution Elsevier Free vibration Elsevier Rayleigh–Ritz method Elsevier Li, Haichao oth Wang, Xueren oth Miao, Xuhong oth Li, Shuo oth Enthalten in Elsevier Science Güner, İlhan ELSEVIER Growth and welfare implications of sector-specific innovations 2022 an international journal Amsterdam [u.a.] (DE-627)ELV008987521 volume:75 year:2018 number:9 day:1 month:05 pages:3249-3268 extent:20 https://doi.org/10.1016/j.camwa.2018.01.045 Volltext GBV_USEFLAG_U GBV_ELV SYSFLAG_U 83.03 Methoden und Techniken der Volkswirtschaft VZ 83.10 Wirtschaftstheorie: Allgemeines VZ AR 75 2018 9 1 0501 3249-3268 20 045F 510 |
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10.1016/j.camwa.2018.01.045 doi GBV00000000000198A.pica (DE-627)ELV042669480 (ELSEVIER)S0898-1221(18)30061-0 DE-627 ger DE-627 rakwb eng 510 004 510 DE-600 004 DE-600 330 VZ 83.03 bkl 83.10 bkl Pang, Fuzhen verfasserin aut A semi analytical method for the free vibration of doubly-curved shells of revolution 2018transfer abstract 20 nicht spezifiziert zzz rdacontent nicht spezifiziert z rdamedia nicht spezifiziert zu rdacarrier In this paper, a semi analytical method is used to investigate the free vibration of doubly-curved shells of revolution with arbitrary boundary conditions. The doubly-curved shells of revolution are divided into their segments in the meridional direction, and the theoretical model for vibration analysis is formulated by applying Flügge’s thin shell theory. Regardless of the boundary conditions, the displacement functions of shell segments are composed by the Jacobi polynomials along the revolution axis direction and the standard Fourier series along the circumferential direction. The boundary conditions at the ends of the doubly-curved shells of revolution and the continuous conditions at two adjacent segments were enforced by the penalty method. Then, the natural frequencies of the doubly-curved shells are obtained by using the Rayleigh–Ritz method. For arbitrary boundary conditions, this method does not require any changes to the mathematical model or the displacement functions, and it is very effective in the analysis of free vibration for doubly-curved shells of revolution. The credibility and exactness of proposed method are compared with the results of finite element method (FEM), and some numerical results are reported for free vibration of the doubly-curved shells of revolution under classical and elastic boundary conditions. Results of this paper can provide reference data for future studies in related field. In this paper, a semi analytical method is used to investigate the free vibration of doubly-curved shells of revolution with arbitrary boundary conditions. The doubly-curved shells of revolution are divided into their segments in the meridional direction, and the theoretical model for vibration analysis is formulated by applying Flügge’s thin shell theory. Regardless of the boundary conditions, the displacement functions of shell segments are composed by the Jacobi polynomials along the revolution axis direction and the standard Fourier series along the circumferential direction. The boundary conditions at the ends of the doubly-curved shells of revolution and the continuous conditions at two adjacent segments were enforced by the penalty method. Then, the natural frequencies of the doubly-curved shells are obtained by using the Rayleigh–Ritz method. For arbitrary boundary conditions, this method does not require any changes to the mathematical model or the displacement functions, and it is very effective in the analysis of free vibration for doubly-curved shells of revolution. The credibility and exactness of proposed method are compared with the results of finite element method (FEM), and some numerical results are reported for free vibration of the doubly-curved shells of revolution under classical and elastic boundary conditions. Results of this paper can provide reference data for future studies in related field. Arbitrary boundary conditions Elsevier Semi analytical method Elsevier Doubly-curved shells of revolution Elsevier Free vibration Elsevier Rayleigh–Ritz method Elsevier Li, Haichao oth Wang, Xueren oth Miao, Xuhong oth Li, Shuo oth Enthalten in Elsevier Science Güner, İlhan ELSEVIER Growth and welfare implications of sector-specific innovations 2022 an international journal Amsterdam [u.a.] (DE-627)ELV008987521 volume:75 year:2018 number:9 day:1 month:05 pages:3249-3268 extent:20 https://doi.org/10.1016/j.camwa.2018.01.045 Volltext GBV_USEFLAG_U GBV_ELV SYSFLAG_U 83.03 Methoden und Techniken der Volkswirtschaft VZ 83.10 Wirtschaftstheorie: Allgemeines VZ AR 75 2018 9 1 0501 3249-3268 20 045F 510 |
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a semi analytical method for the free vibration of doubly-curved shells of revolution |
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A semi analytical method for the free vibration of doubly-curved shells of revolution |
| abstract |
In this paper, a semi analytical method is used to investigate the free vibration of doubly-curved shells of revolution with arbitrary boundary conditions. The doubly-curved shells of revolution are divided into their segments in the meridional direction, and the theoretical model for vibration analysis is formulated by applying Flügge’s thin shell theory. Regardless of the boundary conditions, the displacement functions of shell segments are composed by the Jacobi polynomials along the revolution axis direction and the standard Fourier series along the circumferential direction. The boundary conditions at the ends of the doubly-curved shells of revolution and the continuous conditions at two adjacent segments were enforced by the penalty method. Then, the natural frequencies of the doubly-curved shells are obtained by using the Rayleigh–Ritz method. For arbitrary boundary conditions, this method does not require any changes to the mathematical model or the displacement functions, and it is very effective in the analysis of free vibration for doubly-curved shells of revolution. The credibility and exactness of proposed method are compared with the results of finite element method (FEM), and some numerical results are reported for free vibration of the doubly-curved shells of revolution under classical and elastic boundary conditions. Results of this paper can provide reference data for future studies in related field. |
| abstractGer |
In this paper, a semi analytical method is used to investigate the free vibration of doubly-curved shells of revolution with arbitrary boundary conditions. The doubly-curved shells of revolution are divided into their segments in the meridional direction, and the theoretical model for vibration analysis is formulated by applying Flügge’s thin shell theory. Regardless of the boundary conditions, the displacement functions of shell segments are composed by the Jacobi polynomials along the revolution axis direction and the standard Fourier series along the circumferential direction. The boundary conditions at the ends of the doubly-curved shells of revolution and the continuous conditions at two adjacent segments were enforced by the penalty method. Then, the natural frequencies of the doubly-curved shells are obtained by using the Rayleigh–Ritz method. For arbitrary boundary conditions, this method does not require any changes to the mathematical model or the displacement functions, and it is very effective in the analysis of free vibration for doubly-curved shells of revolution. The credibility and exactness of proposed method are compared with the results of finite element method (FEM), and some numerical results are reported for free vibration of the doubly-curved shells of revolution under classical and elastic boundary conditions. Results of this paper can provide reference data for future studies in related field. |
| abstract_unstemmed |
In this paper, a semi analytical method is used to investigate the free vibration of doubly-curved shells of revolution with arbitrary boundary conditions. The doubly-curved shells of revolution are divided into their segments in the meridional direction, and the theoretical model for vibration analysis is formulated by applying Flügge’s thin shell theory. Regardless of the boundary conditions, the displacement functions of shell segments are composed by the Jacobi polynomials along the revolution axis direction and the standard Fourier series along the circumferential direction. The boundary conditions at the ends of the doubly-curved shells of revolution and the continuous conditions at two adjacent segments were enforced by the penalty method. Then, the natural frequencies of the doubly-curved shells are obtained by using the Rayleigh–Ritz method. For arbitrary boundary conditions, this method does not require any changes to the mathematical model or the displacement functions, and it is very effective in the analysis of free vibration for doubly-curved shells of revolution. The credibility and exactness of proposed method are compared with the results of finite element method (FEM), and some numerical results are reported for free vibration of the doubly-curved shells of revolution under classical and elastic boundary conditions. Results of this paper can provide reference data for future studies in related field. |
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A semi analytical method for the free vibration of doubly-curved shells of revolution |
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