Three-dimensional free vibration analysis of annular sector plates with arbitrary boundary conditions
Abstract The objective of this investigation is to apply the spectro-geometric method to study the vibration behavior of the annular sector plates with arbitrary boundary restraints on the basis of the three-dimensional theory of elasticity. All the classical homogeneous boundary conditions can be u...
Ausführliche Beschreibung
Gespeichert in:
| Autor*in: |
Shi, Xianjie [verfasserIn] |
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| Format: |
Artikel |
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| Sprache: |
Englisch |
| Erschienen: |
2017 |
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| Schlagwörter: |
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| Anmerkung: |
© Springer-Verlag GmbH Germany 2017 |
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| Übergeordnetes Werk: |
Enthalten in: Archive of applied mechanics - Springer Berlin Heidelberg, 1991, 87(2017), 11 vom: 31. Juli, Seite 1781-1796 |
|---|---|
| Übergeordnetes Werk: |
volume:87 ; year:2017 ; number:11 ; day:31 ; month:07 ; pages:1781-1796 |
| Links: |
|---|
| DOI / URN: |
10.1007/s00419-017-1286-1 |
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OLC2071060938 |
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| 520 | |a Abstract The objective of this investigation is to apply the spectro-geometric method to study the vibration behavior of the annular sector plates with arbitrary boundary restraints on the basis of the three-dimensional theory of elasticity. All the classical homogeneous boundary conditions can be universally considered as the special cases when the stiffness for each of restraining springs is set equal to either zero or infinity in this study. Under the current solution framework, each displacement of the annular sector plate is, regardless of boundary conditions, invariantly expanded as a new form of trigonometric series expansions with a drastically improved convergence as compared with the conventional Fourier series and all the series expanded coefficients are determined with the Rayleigh–Ritz procedure. The present solution method can be generally applied to a broad range of annular sector plates, regardless of their thicknesses and sector angles. The current results are compared with those previously published in literature and the finite element analysis data to validate the current formulation. More results for plates with different boundary restraints and geometrical parameters are presented, which may serve as benchmark solutions for others. | ||
| 650 | 4 | |a Annular sector plates | |
| 650 | 4 | |a Three-dimensional vibration | |
| 650 | 4 | |a Arbitrary boundary conditions | |
| 650 | 4 | |a Spectro-geometric method (SGM) | |
| 700 | 1 | |a Li, Chunli |4 aut | |
| 700 | 1 | |a Wang, Fengjun |4 aut | |
| 700 | 1 | |a Shi, Dongyan |4 aut | |
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10.1007/s00419-017-1286-1 doi (DE-627)OLC2071060938 (DE-He213)s00419-017-1286-1-p DE-627 ger DE-627 rakwb eng 690 VZ Shi, Xianjie verfasserin aut Three-dimensional free vibration analysis of annular sector plates with arbitrary boundary conditions 2017 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Springer-Verlag GmbH Germany 2017 Abstract The objective of this investigation is to apply the spectro-geometric method to study the vibration behavior of the annular sector plates with arbitrary boundary restraints on the basis of the three-dimensional theory of elasticity. All the classical homogeneous boundary conditions can be universally considered as the special cases when the stiffness for each of restraining springs is set equal to either zero or infinity in this study. Under the current solution framework, each displacement of the annular sector plate is, regardless of boundary conditions, invariantly expanded as a new form of trigonometric series expansions with a drastically improved convergence as compared with the conventional Fourier series and all the series expanded coefficients are determined with the Rayleigh–Ritz procedure. The present solution method can be generally applied to a broad range of annular sector plates, regardless of their thicknesses and sector angles. The current results are compared with those previously published in literature and the finite element analysis data to validate the current formulation. More results for plates with different boundary restraints and geometrical parameters are presented, which may serve as benchmark solutions for others. Annular sector plates Three-dimensional vibration Arbitrary boundary conditions Spectro-geometric method (SGM) Li, Chunli aut Wang, Fengjun aut Shi, Dongyan aut Enthalten in Archive of applied mechanics Springer Berlin Heidelberg, 1991 87(2017), 11 vom: 31. Juli, Seite 1781-1796 (DE-627)130929700 (DE-600)1056088-9 (DE-576)02508755X 0939-1533 nnns volume:87 year:2017 number:11 day:31 month:07 pages:1781-1796 https://doi.org/10.1007/s00419-017-1286-1 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-UMW SSG-OLC-ARC SSG-OLC-TEC GBV_ILN_30 GBV_ILN_70 GBV_ILN_150 GBV_ILN_267 GBV_ILN_2016 GBV_ILN_2018 GBV_ILN_2119 GBV_ILN_2333 GBV_ILN_4277 GBV_ILN_4313 AR 87 2017 11 31 07 1781-1796 |
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10.1007/s00419-017-1286-1 doi (DE-627)OLC2071060938 (DE-He213)s00419-017-1286-1-p DE-627 ger DE-627 rakwb eng 690 VZ Shi, Xianjie verfasserin aut Three-dimensional free vibration analysis of annular sector plates with arbitrary boundary conditions 2017 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Springer-Verlag GmbH Germany 2017 Abstract The objective of this investigation is to apply the spectro-geometric method to study the vibration behavior of the annular sector plates with arbitrary boundary restraints on the basis of the three-dimensional theory of elasticity. All the classical homogeneous boundary conditions can be universally considered as the special cases when the stiffness for each of restraining springs is set equal to either zero or infinity in this study. Under the current solution framework, each displacement of the annular sector plate is, regardless of boundary conditions, invariantly expanded as a new form of trigonometric series expansions with a drastically improved convergence as compared with the conventional Fourier series and all the series expanded coefficients are determined with the Rayleigh–Ritz procedure. The present solution method can be generally applied to a broad range of annular sector plates, regardless of their thicknesses and sector angles. The current results are compared with those previously published in literature and the finite element analysis data to validate the current formulation. More results for plates with different boundary restraints and geometrical parameters are presented, which may serve as benchmark solutions for others. Annular sector plates Three-dimensional vibration Arbitrary boundary conditions Spectro-geometric method (SGM) Li, Chunli aut Wang, Fengjun aut Shi, Dongyan aut Enthalten in Archive of applied mechanics Springer Berlin Heidelberg, 1991 87(2017), 11 vom: 31. Juli, Seite 1781-1796 (DE-627)130929700 (DE-600)1056088-9 (DE-576)02508755X 0939-1533 nnns volume:87 year:2017 number:11 day:31 month:07 pages:1781-1796 https://doi.org/10.1007/s00419-017-1286-1 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-UMW SSG-OLC-ARC SSG-OLC-TEC GBV_ILN_30 GBV_ILN_70 GBV_ILN_150 GBV_ILN_267 GBV_ILN_2016 GBV_ILN_2018 GBV_ILN_2119 GBV_ILN_2333 GBV_ILN_4277 GBV_ILN_4313 AR 87 2017 11 31 07 1781-1796 |
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10.1007/s00419-017-1286-1 doi (DE-627)OLC2071060938 (DE-He213)s00419-017-1286-1-p DE-627 ger DE-627 rakwb eng 690 VZ Shi, Xianjie verfasserin aut Three-dimensional free vibration analysis of annular sector plates with arbitrary boundary conditions 2017 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Springer-Verlag GmbH Germany 2017 Abstract The objective of this investigation is to apply the spectro-geometric method to study the vibration behavior of the annular sector plates with arbitrary boundary restraints on the basis of the three-dimensional theory of elasticity. All the classical homogeneous boundary conditions can be universally considered as the special cases when the stiffness for each of restraining springs is set equal to either zero or infinity in this study. Under the current solution framework, each displacement of the annular sector plate is, regardless of boundary conditions, invariantly expanded as a new form of trigonometric series expansions with a drastically improved convergence as compared with the conventional Fourier series and all the series expanded coefficients are determined with the Rayleigh–Ritz procedure. The present solution method can be generally applied to a broad range of annular sector plates, regardless of their thicknesses and sector angles. The current results are compared with those previously published in literature and the finite element analysis data to validate the current formulation. More results for plates with different boundary restraints and geometrical parameters are presented, which may serve as benchmark solutions for others. Annular sector plates Three-dimensional vibration Arbitrary boundary conditions Spectro-geometric method (SGM) Li, Chunli aut Wang, Fengjun aut Shi, Dongyan aut Enthalten in Archive of applied mechanics Springer Berlin Heidelberg, 1991 87(2017), 11 vom: 31. Juli, Seite 1781-1796 (DE-627)130929700 (DE-600)1056088-9 (DE-576)02508755X 0939-1533 nnns volume:87 year:2017 number:11 day:31 month:07 pages:1781-1796 https://doi.org/10.1007/s00419-017-1286-1 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-UMW SSG-OLC-ARC SSG-OLC-TEC GBV_ILN_30 GBV_ILN_70 GBV_ILN_150 GBV_ILN_267 GBV_ILN_2016 GBV_ILN_2018 GBV_ILN_2119 GBV_ILN_2333 GBV_ILN_4277 GBV_ILN_4313 AR 87 2017 11 31 07 1781-1796 |
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10.1007/s00419-017-1286-1 doi (DE-627)OLC2071060938 (DE-He213)s00419-017-1286-1-p DE-627 ger DE-627 rakwb eng 690 VZ Shi, Xianjie verfasserin aut Three-dimensional free vibration analysis of annular sector plates with arbitrary boundary conditions 2017 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Springer-Verlag GmbH Germany 2017 Abstract The objective of this investigation is to apply the spectro-geometric method to study the vibration behavior of the annular sector plates with arbitrary boundary restraints on the basis of the three-dimensional theory of elasticity. All the classical homogeneous boundary conditions can be universally considered as the special cases when the stiffness for each of restraining springs is set equal to either zero or infinity in this study. Under the current solution framework, each displacement of the annular sector plate is, regardless of boundary conditions, invariantly expanded as a new form of trigonometric series expansions with a drastically improved convergence as compared with the conventional Fourier series and all the series expanded coefficients are determined with the Rayleigh–Ritz procedure. The present solution method can be generally applied to a broad range of annular sector plates, regardless of their thicknesses and sector angles. The current results are compared with those previously published in literature and the finite element analysis data to validate the current formulation. More results for plates with different boundary restraints and geometrical parameters are presented, which may serve as benchmark solutions for others. Annular sector plates Three-dimensional vibration Arbitrary boundary conditions Spectro-geometric method (SGM) Li, Chunli aut Wang, Fengjun aut Shi, Dongyan aut Enthalten in Archive of applied mechanics Springer Berlin Heidelberg, 1991 87(2017), 11 vom: 31. Juli, Seite 1781-1796 (DE-627)130929700 (DE-600)1056088-9 (DE-576)02508755X 0939-1533 nnns volume:87 year:2017 number:11 day:31 month:07 pages:1781-1796 https://doi.org/10.1007/s00419-017-1286-1 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-UMW SSG-OLC-ARC SSG-OLC-TEC GBV_ILN_30 GBV_ILN_70 GBV_ILN_150 GBV_ILN_267 GBV_ILN_2016 GBV_ILN_2018 GBV_ILN_2119 GBV_ILN_2333 GBV_ILN_4277 GBV_ILN_4313 AR 87 2017 11 31 07 1781-1796 |
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10.1007/s00419-017-1286-1 doi (DE-627)OLC2071060938 (DE-He213)s00419-017-1286-1-p DE-627 ger DE-627 rakwb eng 690 VZ Shi, Xianjie verfasserin aut Three-dimensional free vibration analysis of annular sector plates with arbitrary boundary conditions 2017 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Springer-Verlag GmbH Germany 2017 Abstract The objective of this investigation is to apply the spectro-geometric method to study the vibration behavior of the annular sector plates with arbitrary boundary restraints on the basis of the three-dimensional theory of elasticity. All the classical homogeneous boundary conditions can be universally considered as the special cases when the stiffness for each of restraining springs is set equal to either zero or infinity in this study. Under the current solution framework, each displacement of the annular sector plate is, regardless of boundary conditions, invariantly expanded as a new form of trigonometric series expansions with a drastically improved convergence as compared with the conventional Fourier series and all the series expanded coefficients are determined with the Rayleigh–Ritz procedure. The present solution method can be generally applied to a broad range of annular sector plates, regardless of their thicknesses and sector angles. The current results are compared with those previously published in literature and the finite element analysis data to validate the current formulation. More results for plates with different boundary restraints and geometrical parameters are presented, which may serve as benchmark solutions for others. Annular sector plates Three-dimensional vibration Arbitrary boundary conditions Spectro-geometric method (SGM) Li, Chunli aut Wang, Fengjun aut Shi, Dongyan aut Enthalten in Archive of applied mechanics Springer Berlin Heidelberg, 1991 87(2017), 11 vom: 31. Juli, Seite 1781-1796 (DE-627)130929700 (DE-600)1056088-9 (DE-576)02508755X 0939-1533 nnns volume:87 year:2017 number:11 day:31 month:07 pages:1781-1796 https://doi.org/10.1007/s00419-017-1286-1 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-UMW SSG-OLC-ARC SSG-OLC-TEC GBV_ILN_30 GBV_ILN_70 GBV_ILN_150 GBV_ILN_267 GBV_ILN_2016 GBV_ILN_2018 GBV_ILN_2119 GBV_ILN_2333 GBV_ILN_4277 GBV_ILN_4313 AR 87 2017 11 31 07 1781-1796 |
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txt |
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Shi, Xianjie Li, Chunli Wang, Fengjun Shi, Dongyan |
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87 |
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690 VZ |
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Aufsätze |
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Shi, Xianjie |
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10.1007/s00419-017-1286-1 |
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690 |
| title_sort |
three-dimensional free vibration analysis of annular sector plates with arbitrary boundary conditions |
| title_auth |
Three-dimensional free vibration analysis of annular sector plates with arbitrary boundary conditions |
| abstract |
Abstract The objective of this investigation is to apply the spectro-geometric method to study the vibration behavior of the annular sector plates with arbitrary boundary restraints on the basis of the three-dimensional theory of elasticity. All the classical homogeneous boundary conditions can be universally considered as the special cases when the stiffness for each of restraining springs is set equal to either zero or infinity in this study. Under the current solution framework, each displacement of the annular sector plate is, regardless of boundary conditions, invariantly expanded as a new form of trigonometric series expansions with a drastically improved convergence as compared with the conventional Fourier series and all the series expanded coefficients are determined with the Rayleigh–Ritz procedure. The present solution method can be generally applied to a broad range of annular sector plates, regardless of their thicknesses and sector angles. The current results are compared with those previously published in literature and the finite element analysis data to validate the current formulation. More results for plates with different boundary restraints and geometrical parameters are presented, which may serve as benchmark solutions for others. © Springer-Verlag GmbH Germany 2017 |
| abstractGer |
Abstract The objective of this investigation is to apply the spectro-geometric method to study the vibration behavior of the annular sector plates with arbitrary boundary restraints on the basis of the three-dimensional theory of elasticity. All the classical homogeneous boundary conditions can be universally considered as the special cases when the stiffness for each of restraining springs is set equal to either zero or infinity in this study. Under the current solution framework, each displacement of the annular sector plate is, regardless of boundary conditions, invariantly expanded as a new form of trigonometric series expansions with a drastically improved convergence as compared with the conventional Fourier series and all the series expanded coefficients are determined with the Rayleigh–Ritz procedure. The present solution method can be generally applied to a broad range of annular sector plates, regardless of their thicknesses and sector angles. The current results are compared with those previously published in literature and the finite element analysis data to validate the current formulation. More results for plates with different boundary restraints and geometrical parameters are presented, which may serve as benchmark solutions for others. © Springer-Verlag GmbH Germany 2017 |
| abstract_unstemmed |
Abstract The objective of this investigation is to apply the spectro-geometric method to study the vibration behavior of the annular sector plates with arbitrary boundary restraints on the basis of the three-dimensional theory of elasticity. All the classical homogeneous boundary conditions can be universally considered as the special cases when the stiffness for each of restraining springs is set equal to either zero or infinity in this study. Under the current solution framework, each displacement of the annular sector plate is, regardless of boundary conditions, invariantly expanded as a new form of trigonometric series expansions with a drastically improved convergence as compared with the conventional Fourier series and all the series expanded coefficients are determined with the Rayleigh–Ritz procedure. The present solution method can be generally applied to a broad range of annular sector plates, regardless of their thicknesses and sector angles. The current results are compared with those previously published in literature and the finite element analysis data to validate the current formulation. More results for plates with different boundary restraints and geometrical parameters are presented, which may serve as benchmark solutions for others. © Springer-Verlag GmbH Germany 2017 |
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| title_short |
Three-dimensional free vibration analysis of annular sector plates with arbitrary boundary conditions |
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Li, Chunli Wang, Fengjun Shi, Dongyan |
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