Thermoelastic free vibration and dynamic behaviour of an FGM doubly curved panel via the analytical hybrid Laplace–Fourier transformation
Abstract The paper presents an analysis of functionally graded material doubly curved panels with rectangular planform under the action of thermal and mechanical loads. Based on the first-order shear deformation theory of modified Sanders assumptions, five coupled partially differential equations (P...
Ausführliche Beschreibung
Gespeichert in:
| Autor*in: |
Kiani, Y. [verfasserIn] |
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| Format: |
Artikel |
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| Sprache: |
Englisch |
| Erschienen: |
2012 |
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| Schlagwörter: |
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| Anmerkung: |
© Springer-Verlag 2012 |
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| Übergeordnetes Werk: |
Enthalten in: Acta mechanica - Springer Vienna, 1965, 223(2012), 6 vom: 16. März, Seite 1199-1218 |
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| Übergeordnetes Werk: |
volume:223 ; year:2012 ; number:6 ; day:16 ; month:03 ; pages:1199-1218 |
| Links: |
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| DOI / URN: |
10.1007/s00707-012-0629-9 |
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OLC2030136646 |
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| 520 | |a Abstract The paper presents an analysis of functionally graded material doubly curved panels with rectangular planform under the action of thermal and mechanical loads. Based on the first-order shear deformation theory of modified Sanders assumptions, five coupled partially differential equations (PDEs) are established as equations of motion. Each thermo-mechanical property of the shell follows the power law distribution across the thickness, except Poisson’s ratio, which is kept constant through the panel. Assuming that four edges of the shell-panel are simply supported, a Navier-based solution is adopted to reduce the PDEs into time-dependent ODEs. Applying the Laplace transformation, the equations of motion are transformed into the Laplace domain. With the aid of analytical Laplace inverse method, solutions of stresses, strains, and displacements are obtained in time domain and expressed in explicit phrases. Dynamic, free vibration, and thermo-mechanical bending analysis of the panel is carried out for various geometries. Obtained results are validated with the well-known available data reported in the literature. | ||
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| 700 | 1 | |a Shakeri, M. |4 aut | |
| 700 | 1 | |a Eslami, M. R. |4 aut | |
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10.1007/s00707-012-0629-9 doi (DE-627)OLC2030136646 (DE-He213)s00707-012-0629-9-p DE-627 ger DE-627 rakwb eng 530 VZ Kiani, Y. verfasserin aut Thermoelastic free vibration and dynamic behaviour of an FGM doubly curved panel via the analytical hybrid Laplace–Fourier transformation 2012 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Springer-Verlag 2012 Abstract The paper presents an analysis of functionally graded material doubly curved panels with rectangular planform under the action of thermal and mechanical loads. Based on the first-order shear deformation theory of modified Sanders assumptions, five coupled partially differential equations (PDEs) are established as equations of motion. Each thermo-mechanical property of the shell follows the power law distribution across the thickness, except Poisson’s ratio, which is kept constant through the panel. Assuming that four edges of the shell-panel are simply supported, a Navier-based solution is adopted to reduce the PDEs into time-dependent ODEs. Applying the Laplace transformation, the equations of motion are transformed into the Laplace domain. With the aid of analytical Laplace inverse method, solutions of stresses, strains, and displacements are obtained in time domain and expressed in explicit phrases. Dynamic, free vibration, and thermo-mechanical bending analysis of the panel is carried out for various geometries. Obtained results are validated with the well-known available data reported in the literature. Free Vibration Free Vibration Analysis Shear Deformation Theory Cylindrical Panel Laplace Domain Shakeri, M. aut Eslami, M. R. aut Enthalten in Acta mechanica Springer Vienna, 1965 223(2012), 6 vom: 16. März, Seite 1199-1218 (DE-627)129511676 (DE-600)210328-X (DE-576)014919141 0001-5970 nnns volume:223 year:2012 number:6 day:16 month:03 pages:1199-1218 https://doi.org/10.1007/s00707-012-0629-9 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-TEC SSG-OLC-PHY GBV_ILN_22 GBV_ILN_59 GBV_ILN_70 GBV_ILN_2006 GBV_ILN_2020 GBV_ILN_4700 AR 223 2012 6 16 03 1199-1218 |
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10.1007/s00707-012-0629-9 doi (DE-627)OLC2030136646 (DE-He213)s00707-012-0629-9-p DE-627 ger DE-627 rakwb eng 530 VZ Kiani, Y. verfasserin aut Thermoelastic free vibration and dynamic behaviour of an FGM doubly curved panel via the analytical hybrid Laplace–Fourier transformation 2012 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Springer-Verlag 2012 Abstract The paper presents an analysis of functionally graded material doubly curved panels with rectangular planform under the action of thermal and mechanical loads. Based on the first-order shear deformation theory of modified Sanders assumptions, five coupled partially differential equations (PDEs) are established as equations of motion. Each thermo-mechanical property of the shell follows the power law distribution across the thickness, except Poisson’s ratio, which is kept constant through the panel. Assuming that four edges of the shell-panel are simply supported, a Navier-based solution is adopted to reduce the PDEs into time-dependent ODEs. Applying the Laplace transformation, the equations of motion are transformed into the Laplace domain. With the aid of analytical Laplace inverse method, solutions of stresses, strains, and displacements are obtained in time domain and expressed in explicit phrases. Dynamic, free vibration, and thermo-mechanical bending analysis of the panel is carried out for various geometries. Obtained results are validated with the well-known available data reported in the literature. Free Vibration Free Vibration Analysis Shear Deformation Theory Cylindrical Panel Laplace Domain Shakeri, M. aut Eslami, M. R. aut Enthalten in Acta mechanica Springer Vienna, 1965 223(2012), 6 vom: 16. März, Seite 1199-1218 (DE-627)129511676 (DE-600)210328-X (DE-576)014919141 0001-5970 nnns volume:223 year:2012 number:6 day:16 month:03 pages:1199-1218 https://doi.org/10.1007/s00707-012-0629-9 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-TEC SSG-OLC-PHY GBV_ILN_22 GBV_ILN_59 GBV_ILN_70 GBV_ILN_2006 GBV_ILN_2020 GBV_ILN_4700 AR 223 2012 6 16 03 1199-1218 |
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10.1007/s00707-012-0629-9 doi (DE-627)OLC2030136646 (DE-He213)s00707-012-0629-9-p DE-627 ger DE-627 rakwb eng 530 VZ Kiani, Y. verfasserin aut Thermoelastic free vibration and dynamic behaviour of an FGM doubly curved panel via the analytical hybrid Laplace–Fourier transformation 2012 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Springer-Verlag 2012 Abstract The paper presents an analysis of functionally graded material doubly curved panels with rectangular planform under the action of thermal and mechanical loads. Based on the first-order shear deformation theory of modified Sanders assumptions, five coupled partially differential equations (PDEs) are established as equations of motion. Each thermo-mechanical property of the shell follows the power law distribution across the thickness, except Poisson’s ratio, which is kept constant through the panel. Assuming that four edges of the shell-panel are simply supported, a Navier-based solution is adopted to reduce the PDEs into time-dependent ODEs. Applying the Laplace transformation, the equations of motion are transformed into the Laplace domain. With the aid of analytical Laplace inverse method, solutions of stresses, strains, and displacements are obtained in time domain and expressed in explicit phrases. Dynamic, free vibration, and thermo-mechanical bending analysis of the panel is carried out for various geometries. Obtained results are validated with the well-known available data reported in the literature. Free Vibration Free Vibration Analysis Shear Deformation Theory Cylindrical Panel Laplace Domain Shakeri, M. aut Eslami, M. R. aut Enthalten in Acta mechanica Springer Vienna, 1965 223(2012), 6 vom: 16. März, Seite 1199-1218 (DE-627)129511676 (DE-600)210328-X (DE-576)014919141 0001-5970 nnns volume:223 year:2012 number:6 day:16 month:03 pages:1199-1218 https://doi.org/10.1007/s00707-012-0629-9 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-TEC SSG-OLC-PHY GBV_ILN_22 GBV_ILN_59 GBV_ILN_70 GBV_ILN_2006 GBV_ILN_2020 GBV_ILN_4700 AR 223 2012 6 16 03 1199-1218 |
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10.1007/s00707-012-0629-9 doi (DE-627)OLC2030136646 (DE-He213)s00707-012-0629-9-p DE-627 ger DE-627 rakwb eng 530 VZ Kiani, Y. verfasserin aut Thermoelastic free vibration and dynamic behaviour of an FGM doubly curved panel via the analytical hybrid Laplace–Fourier transformation 2012 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Springer-Verlag 2012 Abstract The paper presents an analysis of functionally graded material doubly curved panels with rectangular planform under the action of thermal and mechanical loads. Based on the first-order shear deformation theory of modified Sanders assumptions, five coupled partially differential equations (PDEs) are established as equations of motion. Each thermo-mechanical property of the shell follows the power law distribution across the thickness, except Poisson’s ratio, which is kept constant through the panel. Assuming that four edges of the shell-panel are simply supported, a Navier-based solution is adopted to reduce the PDEs into time-dependent ODEs. Applying the Laplace transformation, the equations of motion are transformed into the Laplace domain. With the aid of analytical Laplace inverse method, solutions of stresses, strains, and displacements are obtained in time domain and expressed in explicit phrases. Dynamic, free vibration, and thermo-mechanical bending analysis of the panel is carried out for various geometries. Obtained results are validated with the well-known available data reported in the literature. Free Vibration Free Vibration Analysis Shear Deformation Theory Cylindrical Panel Laplace Domain Shakeri, M. aut Eslami, M. R. aut Enthalten in Acta mechanica Springer Vienna, 1965 223(2012), 6 vom: 16. März, Seite 1199-1218 (DE-627)129511676 (DE-600)210328-X (DE-576)014919141 0001-5970 nnns volume:223 year:2012 number:6 day:16 month:03 pages:1199-1218 https://doi.org/10.1007/s00707-012-0629-9 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-TEC SSG-OLC-PHY GBV_ILN_22 GBV_ILN_59 GBV_ILN_70 GBV_ILN_2006 GBV_ILN_2020 GBV_ILN_4700 AR 223 2012 6 16 03 1199-1218 |
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10.1007/s00707-012-0629-9 doi (DE-627)OLC2030136646 (DE-He213)s00707-012-0629-9-p DE-627 ger DE-627 rakwb eng 530 VZ Kiani, Y. verfasserin aut Thermoelastic free vibration and dynamic behaviour of an FGM doubly curved panel via the analytical hybrid Laplace–Fourier transformation 2012 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Springer-Verlag 2012 Abstract The paper presents an analysis of functionally graded material doubly curved panels with rectangular planform under the action of thermal and mechanical loads. Based on the first-order shear deformation theory of modified Sanders assumptions, five coupled partially differential equations (PDEs) are established as equations of motion. Each thermo-mechanical property of the shell follows the power law distribution across the thickness, except Poisson’s ratio, which is kept constant through the panel. Assuming that four edges of the shell-panel are simply supported, a Navier-based solution is adopted to reduce the PDEs into time-dependent ODEs. Applying the Laplace transformation, the equations of motion are transformed into the Laplace domain. With the aid of analytical Laplace inverse method, solutions of stresses, strains, and displacements are obtained in time domain and expressed in explicit phrases. Dynamic, free vibration, and thermo-mechanical bending analysis of the panel is carried out for various geometries. Obtained results are validated with the well-known available data reported in the literature. Free Vibration Free Vibration Analysis Shear Deformation Theory Cylindrical Panel Laplace Domain Shakeri, M. aut Eslami, M. R. aut Enthalten in Acta mechanica Springer Vienna, 1965 223(2012), 6 vom: 16. März, Seite 1199-1218 (DE-627)129511676 (DE-600)210328-X (DE-576)014919141 0001-5970 nnns volume:223 year:2012 number:6 day:16 month:03 pages:1199-1218 https://doi.org/10.1007/s00707-012-0629-9 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-TEC SSG-OLC-PHY GBV_ILN_22 GBV_ILN_59 GBV_ILN_70 GBV_ILN_2006 GBV_ILN_2020 GBV_ILN_4700 AR 223 2012 6 16 03 1199-1218 |
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Thermoelastic free vibration and dynamic behaviour of an FGM doubly curved panel via the analytical hybrid Laplace–Fourier transformation |
| abstract |
Abstract The paper presents an analysis of functionally graded material doubly curved panels with rectangular planform under the action of thermal and mechanical loads. Based on the first-order shear deformation theory of modified Sanders assumptions, five coupled partially differential equations (PDEs) are established as equations of motion. Each thermo-mechanical property of the shell follows the power law distribution across the thickness, except Poisson’s ratio, which is kept constant through the panel. Assuming that four edges of the shell-panel are simply supported, a Navier-based solution is adopted to reduce the PDEs into time-dependent ODEs. Applying the Laplace transformation, the equations of motion are transformed into the Laplace domain. With the aid of analytical Laplace inverse method, solutions of stresses, strains, and displacements are obtained in time domain and expressed in explicit phrases. Dynamic, free vibration, and thermo-mechanical bending analysis of the panel is carried out for various geometries. Obtained results are validated with the well-known available data reported in the literature. © Springer-Verlag 2012 |
| abstractGer |
Abstract The paper presents an analysis of functionally graded material doubly curved panels with rectangular planform under the action of thermal and mechanical loads. Based on the first-order shear deformation theory of modified Sanders assumptions, five coupled partially differential equations (PDEs) are established as equations of motion. Each thermo-mechanical property of the shell follows the power law distribution across the thickness, except Poisson’s ratio, which is kept constant through the panel. Assuming that four edges of the shell-panel are simply supported, a Navier-based solution is adopted to reduce the PDEs into time-dependent ODEs. Applying the Laplace transformation, the equations of motion are transformed into the Laplace domain. With the aid of analytical Laplace inverse method, solutions of stresses, strains, and displacements are obtained in time domain and expressed in explicit phrases. Dynamic, free vibration, and thermo-mechanical bending analysis of the panel is carried out for various geometries. Obtained results are validated with the well-known available data reported in the literature. © Springer-Verlag 2012 |
| abstract_unstemmed |
Abstract The paper presents an analysis of functionally graded material doubly curved panels with rectangular planform under the action of thermal and mechanical loads. Based on the first-order shear deformation theory of modified Sanders assumptions, five coupled partially differential equations (PDEs) are established as equations of motion. Each thermo-mechanical property of the shell follows the power law distribution across the thickness, except Poisson’s ratio, which is kept constant through the panel. Assuming that four edges of the shell-panel are simply supported, a Navier-based solution is adopted to reduce the PDEs into time-dependent ODEs. Applying the Laplace transformation, the equations of motion are transformed into the Laplace domain. With the aid of analytical Laplace inverse method, solutions of stresses, strains, and displacements are obtained in time domain and expressed in explicit phrases. Dynamic, free vibration, and thermo-mechanical bending analysis of the panel is carried out for various geometries. Obtained results are validated with the well-known available data reported in the literature. © Springer-Verlag 2012 |
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6 |
| title_short |
Thermoelastic free vibration and dynamic behaviour of an FGM doubly curved panel via the analytical hybrid Laplace–Fourier transformation |
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https://doi.org/10.1007/s00707-012-0629-9 |
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Shakeri, M. Eslami, M. R. |
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