A unified approach for the vibration analysis of moderately thick composite laminated cylindrical shells with arbitrary boundary conditions
A unified analytical method based on the first-order shear deformation theory is developed for the vibration analysis of moderately thick composite laminated cylindrical shells subjected to general boundary conditions and arbitrary intermediate ring supports, and various lamination schemes. Each of...
Ausführliche Beschreibung
Gespeichert in:
| Autor*in: |
Jin, Guoyong [verfasserIn] |
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| Format: |
E-Artikel |
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| Sprache: |
Englisch |
| Erschienen: |
2013transfer abstract |
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| Schlagwörter: |
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| Umfang: |
20 |
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| Übergeordnetes Werk: |
Enthalten in: Evaluation of color changes in PV modules using reflectance measurements - Rosillo, F.G. ELSEVIER, 2018, Amsterdam [u.a.] |
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| Übergeordnetes Werk: |
volume:75 ; year:2013 ; pages:357-376 ; extent:20 |
| Links: |
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| DOI / URN: |
10.1016/j.ijmecsci.2013.08.003 |
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| Katalog-ID: |
ELV033519390 |
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| 245 | 1 | 0 | |a A unified approach for the vibration analysis of moderately thick composite laminated cylindrical shells with arbitrary boundary conditions |
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| 520 | |a A unified analytical method based on the first-order shear deformation theory is developed for the vibration analysis of moderately thick composite laminated cylindrical shells subjected to general boundary conditions and arbitrary intermediate ring supports, and various lamination schemes. Each of the displacements and rotation components of the shell, regardless of boundary conditions, is expanded as the linear combination of a standard Fourier series and several supplementary terms are introduced to ensure and accelerate the convergence of the series expansions. Since the displacement field is constructed adequately smooth throughout the entire solution domain, an exact solution can obtained by using Rayleigh–Ritz procedure based on the energy functions of the shell. Furthermore, in contrast to most existing solution procedures, the current method offers a unified solution for laminated cylindrical shells with various boundary conditions, and arbitrary boundary conditions including all classical ones and elastic restraints can be easily achieved by simply setting the stiffnesses of restraining springs without requiring any special procedures or schemes. The excellent accuracy and reliability of current solutions are demonstrated by numerical examples and comparisons with the results available in the literature. The effects of restraining stiffnesses and lamination schemes on frequency parameters are illustrated. Numerous new results for cross-ply and angle-ply laminations with elastically restrained edges and intermediate ring supports are presented, which may serve as benchmark solutions for validating new computational techniques in future. | ||
| 520 | |a A unified analytical method based on the first-order shear deformation theory is developed for the vibration analysis of moderately thick composite laminated cylindrical shells subjected to general boundary conditions and arbitrary intermediate ring supports, and various lamination schemes. Each of the displacements and rotation components of the shell, regardless of boundary conditions, is expanded as the linear combination of a standard Fourier series and several supplementary terms are introduced to ensure and accelerate the convergence of the series expansions. Since the displacement field is constructed adequately smooth throughout the entire solution domain, an exact solution can obtained by using Rayleigh–Ritz procedure based on the energy functions of the shell. Furthermore, in contrast to most existing solution procedures, the current method offers a unified solution for laminated cylindrical shells with various boundary conditions, and arbitrary boundary conditions including all classical ones and elastic restraints can be easily achieved by simply setting the stiffnesses of restraining springs without requiring any special procedures or schemes. The excellent accuracy and reliability of current solutions are demonstrated by numerical examples and comparisons with the results available in the literature. The effects of restraining stiffnesses and lamination schemes on frequency parameters are illustrated. Numerous new results for cross-ply and angle-ply laminations with elastically restrained edges and intermediate ring supports are presented, which may serve as benchmark solutions for validating new computational techniques in future. | ||
| 650 | 7 | |a Laminated shells |2 Elsevier | |
| 650 | 7 | |a Moderately thick composite cylindrical shells |2 Elsevier | |
| 650 | 7 | |a Arbitrary boundary conditions |2 Elsevier | |
| 650 | 7 | |a Free vibration |2 Elsevier | |
| 700 | 1 | |a Ye, Tiangui |4 oth | |
| 700 | 1 | |a Ma, Xianglong |4 oth | |
| 700 | 1 | |a Chen, Yuehua |4 oth | |
| 700 | 1 | |a Su, Zhu |4 oth | |
| 700 | 1 | |a Xie, Xiang |4 oth | |
| 773 | 0 | 8 | |i Enthalten in |n Elsevier Science |a Rosillo, F.G. ELSEVIER |t Evaluation of color changes in PV modules using reflectance measurements |d 2018 |g Amsterdam [u.a.] |w (DE-627)ELV001316990 |
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10.1016/j.ijmecsci.2013.08.003 doi GBVA2013021000014.pica (DE-627)ELV033519390 (ELSEVIER)S0020-7403(13)00215-4 DE-627 ger DE-627 rakwb eng 530 530 DE-600 530 VZ 52.56 bkl Jin, Guoyong verfasserin aut A unified approach for the vibration analysis of moderately thick composite laminated cylindrical shells with arbitrary boundary conditions 2013transfer abstract 20 nicht spezifiziert zzz rdacontent nicht spezifiziert z rdamedia nicht spezifiziert zu rdacarrier A unified analytical method based on the first-order shear deformation theory is developed for the vibration analysis of moderately thick composite laminated cylindrical shells subjected to general boundary conditions and arbitrary intermediate ring supports, and various lamination schemes. Each of the displacements and rotation components of the shell, regardless of boundary conditions, is expanded as the linear combination of a standard Fourier series and several supplementary terms are introduced to ensure and accelerate the convergence of the series expansions. Since the displacement field is constructed adequately smooth throughout the entire solution domain, an exact solution can obtained by using Rayleigh–Ritz procedure based on the energy functions of the shell. Furthermore, in contrast to most existing solution procedures, the current method offers a unified solution for laminated cylindrical shells with various boundary conditions, and arbitrary boundary conditions including all classical ones and elastic restraints can be easily achieved by simply setting the stiffnesses of restraining springs without requiring any special procedures or schemes. The excellent accuracy and reliability of current solutions are demonstrated by numerical examples and comparisons with the results available in the literature. The effects of restraining stiffnesses and lamination schemes on frequency parameters are illustrated. Numerous new results for cross-ply and angle-ply laminations with elastically restrained edges and intermediate ring supports are presented, which may serve as benchmark solutions for validating new computational techniques in future. A unified analytical method based on the first-order shear deformation theory is developed for the vibration analysis of moderately thick composite laminated cylindrical shells subjected to general boundary conditions and arbitrary intermediate ring supports, and various lamination schemes. Each of the displacements and rotation components of the shell, regardless of boundary conditions, is expanded as the linear combination of a standard Fourier series and several supplementary terms are introduced to ensure and accelerate the convergence of the series expansions. Since the displacement field is constructed adequately smooth throughout the entire solution domain, an exact solution can obtained by using Rayleigh–Ritz procedure based on the energy functions of the shell. Furthermore, in contrast to most existing solution procedures, the current method offers a unified solution for laminated cylindrical shells with various boundary conditions, and arbitrary boundary conditions including all classical ones and elastic restraints can be easily achieved by simply setting the stiffnesses of restraining springs without requiring any special procedures or schemes. The excellent accuracy and reliability of current solutions are demonstrated by numerical examples and comparisons with the results available in the literature. The effects of restraining stiffnesses and lamination schemes on frequency parameters are illustrated. Numerous new results for cross-ply and angle-ply laminations with elastically restrained edges and intermediate ring supports are presented, which may serve as benchmark solutions for validating new computational techniques in future. Laminated shells Elsevier Moderately thick composite cylindrical shells Elsevier Arbitrary boundary conditions Elsevier Free vibration Elsevier Ye, Tiangui oth Ma, Xianglong oth Chen, Yuehua oth Su, Zhu oth Xie, Xiang oth Enthalten in Elsevier Science Rosillo, F.G. ELSEVIER Evaluation of color changes in PV modules using reflectance measurements 2018 Amsterdam [u.a.] (DE-627)ELV001316990 volume:75 year:2013 pages:357-376 extent:20 https://doi.org/10.1016/j.ijmecsci.2013.08.003 Volltext GBV_USEFLAG_U GBV_ELV SYSFLAG_U 52.56 Regenerative Energieformen alternative Energieformen VZ AR 75 2013 357-376 20 045F 530 |
| spelling |
10.1016/j.ijmecsci.2013.08.003 doi GBVA2013021000014.pica (DE-627)ELV033519390 (ELSEVIER)S0020-7403(13)00215-4 DE-627 ger DE-627 rakwb eng 530 530 DE-600 530 VZ 52.56 bkl Jin, Guoyong verfasserin aut A unified approach for the vibration analysis of moderately thick composite laminated cylindrical shells with arbitrary boundary conditions 2013transfer abstract 20 nicht spezifiziert zzz rdacontent nicht spezifiziert z rdamedia nicht spezifiziert zu rdacarrier A unified analytical method based on the first-order shear deformation theory is developed for the vibration analysis of moderately thick composite laminated cylindrical shells subjected to general boundary conditions and arbitrary intermediate ring supports, and various lamination schemes. Each of the displacements and rotation components of the shell, regardless of boundary conditions, is expanded as the linear combination of a standard Fourier series and several supplementary terms are introduced to ensure and accelerate the convergence of the series expansions. Since the displacement field is constructed adequately smooth throughout the entire solution domain, an exact solution can obtained by using Rayleigh–Ritz procedure based on the energy functions of the shell. Furthermore, in contrast to most existing solution procedures, the current method offers a unified solution for laminated cylindrical shells with various boundary conditions, and arbitrary boundary conditions including all classical ones and elastic restraints can be easily achieved by simply setting the stiffnesses of restraining springs without requiring any special procedures or schemes. The excellent accuracy and reliability of current solutions are demonstrated by numerical examples and comparisons with the results available in the literature. The effects of restraining stiffnesses and lamination schemes on frequency parameters are illustrated. Numerous new results for cross-ply and angle-ply laminations with elastically restrained edges and intermediate ring supports are presented, which may serve as benchmark solutions for validating new computational techniques in future. A unified analytical method based on the first-order shear deformation theory is developed for the vibration analysis of moderately thick composite laminated cylindrical shells subjected to general boundary conditions and arbitrary intermediate ring supports, and various lamination schemes. Each of the displacements and rotation components of the shell, regardless of boundary conditions, is expanded as the linear combination of a standard Fourier series and several supplementary terms are introduced to ensure and accelerate the convergence of the series expansions. Since the displacement field is constructed adequately smooth throughout the entire solution domain, an exact solution can obtained by using Rayleigh–Ritz procedure based on the energy functions of the shell. Furthermore, in contrast to most existing solution procedures, the current method offers a unified solution for laminated cylindrical shells with various boundary conditions, and arbitrary boundary conditions including all classical ones and elastic restraints can be easily achieved by simply setting the stiffnesses of restraining springs without requiring any special procedures or schemes. The excellent accuracy and reliability of current solutions are demonstrated by numerical examples and comparisons with the results available in the literature. The effects of restraining stiffnesses and lamination schemes on frequency parameters are illustrated. Numerous new results for cross-ply and angle-ply laminations with elastically restrained edges and intermediate ring supports are presented, which may serve as benchmark solutions for validating new computational techniques in future. Laminated shells Elsevier Moderately thick composite cylindrical shells Elsevier Arbitrary boundary conditions Elsevier Free vibration Elsevier Ye, Tiangui oth Ma, Xianglong oth Chen, Yuehua oth Su, Zhu oth Xie, Xiang oth Enthalten in Elsevier Science Rosillo, F.G. ELSEVIER Evaluation of color changes in PV modules using reflectance measurements 2018 Amsterdam [u.a.] (DE-627)ELV001316990 volume:75 year:2013 pages:357-376 extent:20 https://doi.org/10.1016/j.ijmecsci.2013.08.003 Volltext GBV_USEFLAG_U GBV_ELV SYSFLAG_U 52.56 Regenerative Energieformen alternative Energieformen VZ AR 75 2013 357-376 20 045F 530 |
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10.1016/j.ijmecsci.2013.08.003 doi GBVA2013021000014.pica (DE-627)ELV033519390 (ELSEVIER)S0020-7403(13)00215-4 DE-627 ger DE-627 rakwb eng 530 530 DE-600 530 VZ 52.56 bkl Jin, Guoyong verfasserin aut A unified approach for the vibration analysis of moderately thick composite laminated cylindrical shells with arbitrary boundary conditions 2013transfer abstract 20 nicht spezifiziert zzz rdacontent nicht spezifiziert z rdamedia nicht spezifiziert zu rdacarrier A unified analytical method based on the first-order shear deformation theory is developed for the vibration analysis of moderately thick composite laminated cylindrical shells subjected to general boundary conditions and arbitrary intermediate ring supports, and various lamination schemes. Each of the displacements and rotation components of the shell, regardless of boundary conditions, is expanded as the linear combination of a standard Fourier series and several supplementary terms are introduced to ensure and accelerate the convergence of the series expansions. Since the displacement field is constructed adequately smooth throughout the entire solution domain, an exact solution can obtained by using Rayleigh–Ritz procedure based on the energy functions of the shell. Furthermore, in contrast to most existing solution procedures, the current method offers a unified solution for laminated cylindrical shells with various boundary conditions, and arbitrary boundary conditions including all classical ones and elastic restraints can be easily achieved by simply setting the stiffnesses of restraining springs without requiring any special procedures or schemes. The excellent accuracy and reliability of current solutions are demonstrated by numerical examples and comparisons with the results available in the literature. The effects of restraining stiffnesses and lamination schemes on frequency parameters are illustrated. Numerous new results for cross-ply and angle-ply laminations with elastically restrained edges and intermediate ring supports are presented, which may serve as benchmark solutions for validating new computational techniques in future. A unified analytical method based on the first-order shear deformation theory is developed for the vibration analysis of moderately thick composite laminated cylindrical shells subjected to general boundary conditions and arbitrary intermediate ring supports, and various lamination schemes. Each of the displacements and rotation components of the shell, regardless of boundary conditions, is expanded as the linear combination of a standard Fourier series and several supplementary terms are introduced to ensure and accelerate the convergence of the series expansions. Since the displacement field is constructed adequately smooth throughout the entire solution domain, an exact solution can obtained by using Rayleigh–Ritz procedure based on the energy functions of the shell. Furthermore, in contrast to most existing solution procedures, the current method offers a unified solution for laminated cylindrical shells with various boundary conditions, and arbitrary boundary conditions including all classical ones and elastic restraints can be easily achieved by simply setting the stiffnesses of restraining springs without requiring any special procedures or schemes. The excellent accuracy and reliability of current solutions are demonstrated by numerical examples and comparisons with the results available in the literature. The effects of restraining stiffnesses and lamination schemes on frequency parameters are illustrated. Numerous new results for cross-ply and angle-ply laminations with elastically restrained edges and intermediate ring supports are presented, which may serve as benchmark solutions for validating new computational techniques in future. Laminated shells Elsevier Moderately thick composite cylindrical shells Elsevier Arbitrary boundary conditions Elsevier Free vibration Elsevier Ye, Tiangui oth Ma, Xianglong oth Chen, Yuehua oth Su, Zhu oth Xie, Xiang oth Enthalten in Elsevier Science Rosillo, F.G. ELSEVIER Evaluation of color changes in PV modules using reflectance measurements 2018 Amsterdam [u.a.] (DE-627)ELV001316990 volume:75 year:2013 pages:357-376 extent:20 https://doi.org/10.1016/j.ijmecsci.2013.08.003 Volltext GBV_USEFLAG_U GBV_ELV SYSFLAG_U 52.56 Regenerative Energieformen alternative Energieformen VZ AR 75 2013 357-376 20 045F 530 |
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10.1016/j.ijmecsci.2013.08.003 doi GBVA2013021000014.pica (DE-627)ELV033519390 (ELSEVIER)S0020-7403(13)00215-4 DE-627 ger DE-627 rakwb eng 530 530 DE-600 530 VZ 52.56 bkl Jin, Guoyong verfasserin aut A unified approach for the vibration analysis of moderately thick composite laminated cylindrical shells with arbitrary boundary conditions 2013transfer abstract 20 nicht spezifiziert zzz rdacontent nicht spezifiziert z rdamedia nicht spezifiziert zu rdacarrier A unified analytical method based on the first-order shear deformation theory is developed for the vibration analysis of moderately thick composite laminated cylindrical shells subjected to general boundary conditions and arbitrary intermediate ring supports, and various lamination schemes. Each of the displacements and rotation components of the shell, regardless of boundary conditions, is expanded as the linear combination of a standard Fourier series and several supplementary terms are introduced to ensure and accelerate the convergence of the series expansions. Since the displacement field is constructed adequately smooth throughout the entire solution domain, an exact solution can obtained by using Rayleigh–Ritz procedure based on the energy functions of the shell. Furthermore, in contrast to most existing solution procedures, the current method offers a unified solution for laminated cylindrical shells with various boundary conditions, and arbitrary boundary conditions including all classical ones and elastic restraints can be easily achieved by simply setting the stiffnesses of restraining springs without requiring any special procedures or schemes. The excellent accuracy and reliability of current solutions are demonstrated by numerical examples and comparisons with the results available in the literature. The effects of restraining stiffnesses and lamination schemes on frequency parameters are illustrated. Numerous new results for cross-ply and angle-ply laminations with elastically restrained edges and intermediate ring supports are presented, which may serve as benchmark solutions for validating new computational techniques in future. A unified analytical method based on the first-order shear deformation theory is developed for the vibration analysis of moderately thick composite laminated cylindrical shells subjected to general boundary conditions and arbitrary intermediate ring supports, and various lamination schemes. Each of the displacements and rotation components of the shell, regardless of boundary conditions, is expanded as the linear combination of a standard Fourier series and several supplementary terms are introduced to ensure and accelerate the convergence of the series expansions. Since the displacement field is constructed adequately smooth throughout the entire solution domain, an exact solution can obtained by using Rayleigh–Ritz procedure based on the energy functions of the shell. Furthermore, in contrast to most existing solution procedures, the current method offers a unified solution for laminated cylindrical shells with various boundary conditions, and arbitrary boundary conditions including all classical ones and elastic restraints can be easily achieved by simply setting the stiffnesses of restraining springs without requiring any special procedures or schemes. The excellent accuracy and reliability of current solutions are demonstrated by numerical examples and comparisons with the results available in the literature. The effects of restraining stiffnesses and lamination schemes on frequency parameters are illustrated. Numerous new results for cross-ply and angle-ply laminations with elastically restrained edges and intermediate ring supports are presented, which may serve as benchmark solutions for validating new computational techniques in future. Laminated shells Elsevier Moderately thick composite cylindrical shells Elsevier Arbitrary boundary conditions Elsevier Free vibration Elsevier Ye, Tiangui oth Ma, Xianglong oth Chen, Yuehua oth Su, Zhu oth Xie, Xiang oth Enthalten in Elsevier Science Rosillo, F.G. ELSEVIER Evaluation of color changes in PV modules using reflectance measurements 2018 Amsterdam [u.a.] (DE-627)ELV001316990 volume:75 year:2013 pages:357-376 extent:20 https://doi.org/10.1016/j.ijmecsci.2013.08.003 Volltext GBV_USEFLAG_U GBV_ELV SYSFLAG_U 52.56 Regenerative Energieformen alternative Energieformen VZ AR 75 2013 357-376 20 045F 530 |
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10.1016/j.ijmecsci.2013.08.003 doi GBVA2013021000014.pica (DE-627)ELV033519390 (ELSEVIER)S0020-7403(13)00215-4 DE-627 ger DE-627 rakwb eng 530 530 DE-600 530 VZ 52.56 bkl Jin, Guoyong verfasserin aut A unified approach for the vibration analysis of moderately thick composite laminated cylindrical shells with arbitrary boundary conditions 2013transfer abstract 20 nicht spezifiziert zzz rdacontent nicht spezifiziert z rdamedia nicht spezifiziert zu rdacarrier A unified analytical method based on the first-order shear deformation theory is developed for the vibration analysis of moderately thick composite laminated cylindrical shells subjected to general boundary conditions and arbitrary intermediate ring supports, and various lamination schemes. Each of the displacements and rotation components of the shell, regardless of boundary conditions, is expanded as the linear combination of a standard Fourier series and several supplementary terms are introduced to ensure and accelerate the convergence of the series expansions. Since the displacement field is constructed adequately smooth throughout the entire solution domain, an exact solution can obtained by using Rayleigh–Ritz procedure based on the energy functions of the shell. Furthermore, in contrast to most existing solution procedures, the current method offers a unified solution for laminated cylindrical shells with various boundary conditions, and arbitrary boundary conditions including all classical ones and elastic restraints can be easily achieved by simply setting the stiffnesses of restraining springs without requiring any special procedures or schemes. The excellent accuracy and reliability of current solutions are demonstrated by numerical examples and comparisons with the results available in the literature. The effects of restraining stiffnesses and lamination schemes on frequency parameters are illustrated. Numerous new results for cross-ply and angle-ply laminations with elastically restrained edges and intermediate ring supports are presented, which may serve as benchmark solutions for validating new computational techniques in future. A unified analytical method based on the first-order shear deformation theory is developed for the vibration analysis of moderately thick composite laminated cylindrical shells subjected to general boundary conditions and arbitrary intermediate ring supports, and various lamination schemes. Each of the displacements and rotation components of the shell, regardless of boundary conditions, is expanded as the linear combination of a standard Fourier series and several supplementary terms are introduced to ensure and accelerate the convergence of the series expansions. Since the displacement field is constructed adequately smooth throughout the entire solution domain, an exact solution can obtained by using Rayleigh–Ritz procedure based on the energy functions of the shell. Furthermore, in contrast to most existing solution procedures, the current method offers a unified solution for laminated cylindrical shells with various boundary conditions, and arbitrary boundary conditions including all classical ones and elastic restraints can be easily achieved by simply setting the stiffnesses of restraining springs without requiring any special procedures or schemes. The excellent accuracy and reliability of current solutions are demonstrated by numerical examples and comparisons with the results available in the literature. The effects of restraining stiffnesses and lamination schemes on frequency parameters are illustrated. Numerous new results for cross-ply and angle-ply laminations with elastically restrained edges and intermediate ring supports are presented, which may serve as benchmark solutions for validating new computational techniques in future. Laminated shells Elsevier Moderately thick composite cylindrical shells Elsevier Arbitrary boundary conditions Elsevier Free vibration Elsevier Ye, Tiangui oth Ma, Xianglong oth Chen, Yuehua oth Su, Zhu oth Xie, Xiang oth Enthalten in Elsevier Science Rosillo, F.G. ELSEVIER Evaluation of color changes in PV modules using reflectance measurements 2018 Amsterdam [u.a.] (DE-627)ELV001316990 volume:75 year:2013 pages:357-376 extent:20 https://doi.org/10.1016/j.ijmecsci.2013.08.003 Volltext GBV_USEFLAG_U GBV_ELV SYSFLAG_U 52.56 Regenerative Energieformen alternative Energieformen VZ AR 75 2013 357-376 20 045F 530 |
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Enthalten in Evaluation of color changes in PV modules using reflectance measurements Amsterdam [u.a.] volume:75 year:2013 pages:357-376 extent:20 |
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Enthalten in Evaluation of color changes in PV modules using reflectance measurements Amsterdam [u.a.] volume:75 year:2013 pages:357-376 extent:20 |
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Evaluation of color changes in PV modules using reflectance measurements |
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Each of the displacements and rotation components of the shell, regardless of boundary conditions, is expanded as the linear combination of a standard Fourier series and several supplementary terms are introduced to ensure and accelerate the convergence of the series expansions. Since the displacement field is constructed adequately smooth throughout the entire solution domain, an exact solution can obtained by using Rayleigh–Ritz procedure based on the energy functions of the shell. Furthermore, in contrast to most existing solution procedures, the current method offers a unified solution for laminated cylindrical shells with various boundary conditions, and arbitrary boundary conditions including all classical ones and elastic restraints can be easily achieved by simply setting the stiffnesses of restraining springs without requiring any special procedures or schemes. The excellent accuracy and reliability of current solutions are demonstrated by numerical examples and comparisons with the results available in the literature. The effects of restraining stiffnesses and lamination schemes on frequency parameters are illustrated. Numerous new results for cross-ply and angle-ply laminations with elastically restrained edges and intermediate ring supports are presented, which may serve as benchmark solutions for validating new computational techniques in future.</subfield></datafield><datafield tag="520" ind1=" " ind2=" "><subfield code="a">A unified analytical method based on the first-order shear deformation theory is developed for the vibration analysis of moderately thick composite laminated cylindrical shells subjected to general boundary conditions and arbitrary intermediate ring supports, and various lamination schemes. Each of the displacements and rotation components of the shell, regardless of boundary conditions, is expanded as the linear combination of a standard Fourier series and several supplementary terms are introduced to ensure and accelerate the convergence of the series expansions. Since the displacement field is constructed adequately smooth throughout the entire solution domain, an exact solution can obtained by using Rayleigh–Ritz procedure based on the energy functions of the shell. Furthermore, in contrast to most existing solution procedures, the current method offers a unified solution for laminated cylindrical shells with various boundary conditions, and arbitrary boundary conditions including all classical ones and elastic restraints can be easily achieved by simply setting the stiffnesses of restraining springs without requiring any special procedures or schemes. The excellent accuracy and reliability of current solutions are demonstrated by numerical examples and comparisons with the results available in the literature. The effects of restraining stiffnesses and lamination schemes on frequency parameters are illustrated. 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Evaluation of color changes in PV modules using reflectance measurements |
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a unified approach for the vibration analysis of moderately thick composite laminated cylindrical shells with arbitrary boundary conditions |
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A unified approach for the vibration analysis of moderately thick composite laminated cylindrical shells with arbitrary boundary conditions |
| abstract |
A unified analytical method based on the first-order shear deformation theory is developed for the vibration analysis of moderately thick composite laminated cylindrical shells subjected to general boundary conditions and arbitrary intermediate ring supports, and various lamination schemes. Each of the displacements and rotation components of the shell, regardless of boundary conditions, is expanded as the linear combination of a standard Fourier series and several supplementary terms are introduced to ensure and accelerate the convergence of the series expansions. Since the displacement field is constructed adequately smooth throughout the entire solution domain, an exact solution can obtained by using Rayleigh–Ritz procedure based on the energy functions of the shell. Furthermore, in contrast to most existing solution procedures, the current method offers a unified solution for laminated cylindrical shells with various boundary conditions, and arbitrary boundary conditions including all classical ones and elastic restraints can be easily achieved by simply setting the stiffnesses of restraining springs without requiring any special procedures or schemes. The excellent accuracy and reliability of current solutions are demonstrated by numerical examples and comparisons with the results available in the literature. The effects of restraining stiffnesses and lamination schemes on frequency parameters are illustrated. Numerous new results for cross-ply and angle-ply laminations with elastically restrained edges and intermediate ring supports are presented, which may serve as benchmark solutions for validating new computational techniques in future. |
| abstractGer |
A unified analytical method based on the first-order shear deformation theory is developed for the vibration analysis of moderately thick composite laminated cylindrical shells subjected to general boundary conditions and arbitrary intermediate ring supports, and various lamination schemes. Each of the displacements and rotation components of the shell, regardless of boundary conditions, is expanded as the linear combination of a standard Fourier series and several supplementary terms are introduced to ensure and accelerate the convergence of the series expansions. Since the displacement field is constructed adequately smooth throughout the entire solution domain, an exact solution can obtained by using Rayleigh–Ritz procedure based on the energy functions of the shell. Furthermore, in contrast to most existing solution procedures, the current method offers a unified solution for laminated cylindrical shells with various boundary conditions, and arbitrary boundary conditions including all classical ones and elastic restraints can be easily achieved by simply setting the stiffnesses of restraining springs without requiring any special procedures or schemes. The excellent accuracy and reliability of current solutions are demonstrated by numerical examples and comparisons with the results available in the literature. The effects of restraining stiffnesses and lamination schemes on frequency parameters are illustrated. Numerous new results for cross-ply and angle-ply laminations with elastically restrained edges and intermediate ring supports are presented, which may serve as benchmark solutions for validating new computational techniques in future. |
| abstract_unstemmed |
A unified analytical method based on the first-order shear deformation theory is developed for the vibration analysis of moderately thick composite laminated cylindrical shells subjected to general boundary conditions and arbitrary intermediate ring supports, and various lamination schemes. Each of the displacements and rotation components of the shell, regardless of boundary conditions, is expanded as the linear combination of a standard Fourier series and several supplementary terms are introduced to ensure and accelerate the convergence of the series expansions. Since the displacement field is constructed adequately smooth throughout the entire solution domain, an exact solution can obtained by using Rayleigh–Ritz procedure based on the energy functions of the shell. Furthermore, in contrast to most existing solution procedures, the current method offers a unified solution for laminated cylindrical shells with various boundary conditions, and arbitrary boundary conditions including all classical ones and elastic restraints can be easily achieved by simply setting the stiffnesses of restraining springs without requiring any special procedures or schemes. The excellent accuracy and reliability of current solutions are demonstrated by numerical examples and comparisons with the results available in the literature. The effects of restraining stiffnesses and lamination schemes on frequency parameters are illustrated. Numerous new results for cross-ply and angle-ply laminations with elastically restrained edges and intermediate ring supports are presented, which may serve as benchmark solutions for validating new computational techniques in future. |
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A unified approach for the vibration analysis of moderately thick composite laminated cylindrical shells with arbitrary boundary conditions |
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