A Transverse Dynamic Deflection Model for Thin Plate Made of Saturated Porous Materials
Abstract In this article, a transverse dynamic deflection model is established for thin plate made of saturated porous materials. Based on the Biot’s model for fluid-saturated porous media, using the Love–Kirchhoff hypothesis, the governing equations of transverse vibrations of fluid-saturated poroe...
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| Autor*in: |
Feng-xi, Zhou [verfasserIn] |
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| Format: |
Artikel |
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| Erschienen: |
2016 |
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| Anmerkung: |
©2016 Walter de Gruyter GmbH, Berlin/Boston |
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| Übergeordnetes Werk: |
Enthalten in: Zeitschrift für Naturforschung. A, Physical sciences - De Gruyter, 1947, 71(2016), 10 vom: 14. Sept., Seite 943-948 |
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| Übergeordnetes Werk: |
volume:71 ; year:2016 ; number:10 ; day:14 ; month:09 ; pages:943-948 |
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| DOI / URN: |
10.1515/zna-2016-0208 |
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OLC213596929X |
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| 520 | |a Abstract In this article, a transverse dynamic deflection model is established for thin plate made of saturated porous materials. Based on the Biot’s model for fluid-saturated porous media, using the Love–Kirchhoff hypothesis, the governing equations of transverse vibrations of fluid-saturated poroelastic plates are derived in detail, which take the inertial, fluid viscous, mechanical couplings, compressibility of solid, and fluid into account. The free vibration and forced vibration response of a simply supported poroelastic rectangular plate is obtained by Fourier series expansion method. Through numerical examples, the effect of porosity and permeability on the dynamic response, including the natural frequency, amplitude response, and the resonance areas is assessed. | ||
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10.1515/zna-2016-0208 doi (DE-627)OLC213596929X (DE-B1597)zna-2016-0208-p DE-627 ger DE-627 rakwb 530 VZ Feng-xi, Zhou verfasserin aut A Transverse Dynamic Deflection Model for Thin Plate Made of Saturated Porous Materials 2016 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier ©2016 Walter de Gruyter GmbH, Berlin/Boston Abstract In this article, a transverse dynamic deflection model is established for thin plate made of saturated porous materials. Based on the Biot’s model for fluid-saturated porous media, using the Love–Kirchhoff hypothesis, the governing equations of transverse vibrations of fluid-saturated poroelastic plates are derived in detail, which take the inertial, fluid viscous, mechanical couplings, compressibility of solid, and fluid into account. The free vibration and forced vibration response of a simply supported poroelastic rectangular plate is obtained by Fourier series expansion method. Through numerical examples, the effect of porosity and permeability on the dynamic response, including the natural frequency, amplitude response, and the resonance areas is assessed. Xiao-lin, Cao aut Enthalten in Zeitschrift für Naturforschung. A, Physical sciences De Gruyter, 1947 71(2016), 10 vom: 14. Sept., Seite 943-948 (DE-627)129307378 (DE-600)124634-3 (DE-576)01450491X 0932-0784 nnns volume:71 year:2016 number:10 day:14 month:09 pages:943-948 https://doi.org/10.1515/zna-2016-0208 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-PHY SSG-OLC-CHE SSG-OLC-MAT SSG-OLC-AST SSG-OLC-FOR SSG-OPC-FOR SSG-OPC-AST GBV_ILN_59 GBV_ILN_70 GBV_ILN_121 GBV_ILN_267 GBV_ILN_2015 GBV_ILN_2409 GBV_ILN_4012 GBV_ILN_4046 GBV_ILN_4277 GBV_ILN_4302 GBV_ILN_4305 GBV_ILN_4320 AR 71 2016 10 14 09 943-948 |
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10.1515/zna-2016-0208 doi (DE-627)OLC213596929X (DE-B1597)zna-2016-0208-p DE-627 ger DE-627 rakwb 530 VZ Feng-xi, Zhou verfasserin aut A Transverse Dynamic Deflection Model for Thin Plate Made of Saturated Porous Materials 2016 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier ©2016 Walter de Gruyter GmbH, Berlin/Boston Abstract In this article, a transverse dynamic deflection model is established for thin plate made of saturated porous materials. Based on the Biot’s model for fluid-saturated porous media, using the Love–Kirchhoff hypothesis, the governing equations of transverse vibrations of fluid-saturated poroelastic plates are derived in detail, which take the inertial, fluid viscous, mechanical couplings, compressibility of solid, and fluid into account. The free vibration and forced vibration response of a simply supported poroelastic rectangular plate is obtained by Fourier series expansion method. Through numerical examples, the effect of porosity and permeability on the dynamic response, including the natural frequency, amplitude response, and the resonance areas is assessed. Xiao-lin, Cao aut Enthalten in Zeitschrift für Naturforschung. A, Physical sciences De Gruyter, 1947 71(2016), 10 vom: 14. Sept., Seite 943-948 (DE-627)129307378 (DE-600)124634-3 (DE-576)01450491X 0932-0784 nnns volume:71 year:2016 number:10 day:14 month:09 pages:943-948 https://doi.org/10.1515/zna-2016-0208 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-PHY SSG-OLC-CHE SSG-OLC-MAT SSG-OLC-AST SSG-OLC-FOR SSG-OPC-FOR SSG-OPC-AST GBV_ILN_59 GBV_ILN_70 GBV_ILN_121 GBV_ILN_267 GBV_ILN_2015 GBV_ILN_2409 GBV_ILN_4012 GBV_ILN_4046 GBV_ILN_4277 GBV_ILN_4302 GBV_ILN_4305 GBV_ILN_4320 AR 71 2016 10 14 09 943-948 |
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10.1515/zna-2016-0208 doi (DE-627)OLC213596929X (DE-B1597)zna-2016-0208-p DE-627 ger DE-627 rakwb 530 VZ Feng-xi, Zhou verfasserin aut A Transverse Dynamic Deflection Model for Thin Plate Made of Saturated Porous Materials 2016 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier ©2016 Walter de Gruyter GmbH, Berlin/Boston Abstract In this article, a transverse dynamic deflection model is established for thin plate made of saturated porous materials. Based on the Biot’s model for fluid-saturated porous media, using the Love–Kirchhoff hypothesis, the governing equations of transverse vibrations of fluid-saturated poroelastic plates are derived in detail, which take the inertial, fluid viscous, mechanical couplings, compressibility of solid, and fluid into account. The free vibration and forced vibration response of a simply supported poroelastic rectangular plate is obtained by Fourier series expansion method. Through numerical examples, the effect of porosity and permeability on the dynamic response, including the natural frequency, amplitude response, and the resonance areas is assessed. Xiao-lin, Cao aut Enthalten in Zeitschrift für Naturforschung. A, Physical sciences De Gruyter, 1947 71(2016), 10 vom: 14. Sept., Seite 943-948 (DE-627)129307378 (DE-600)124634-3 (DE-576)01450491X 0932-0784 nnns volume:71 year:2016 number:10 day:14 month:09 pages:943-948 https://doi.org/10.1515/zna-2016-0208 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-PHY SSG-OLC-CHE SSG-OLC-MAT SSG-OLC-AST SSG-OLC-FOR SSG-OPC-FOR SSG-OPC-AST GBV_ILN_59 GBV_ILN_70 GBV_ILN_121 GBV_ILN_267 GBV_ILN_2015 GBV_ILN_2409 GBV_ILN_4012 GBV_ILN_4046 GBV_ILN_4277 GBV_ILN_4302 GBV_ILN_4305 GBV_ILN_4320 AR 71 2016 10 14 09 943-948 |
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10.1515/zna-2016-0208 doi (DE-627)OLC213596929X (DE-B1597)zna-2016-0208-p DE-627 ger DE-627 rakwb 530 VZ Feng-xi, Zhou verfasserin aut A Transverse Dynamic Deflection Model for Thin Plate Made of Saturated Porous Materials 2016 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier ©2016 Walter de Gruyter GmbH, Berlin/Boston Abstract In this article, a transverse dynamic deflection model is established for thin plate made of saturated porous materials. Based on the Biot’s model for fluid-saturated porous media, using the Love–Kirchhoff hypothesis, the governing equations of transverse vibrations of fluid-saturated poroelastic plates are derived in detail, which take the inertial, fluid viscous, mechanical couplings, compressibility of solid, and fluid into account. The free vibration and forced vibration response of a simply supported poroelastic rectangular plate is obtained by Fourier series expansion method. Through numerical examples, the effect of porosity and permeability on the dynamic response, including the natural frequency, amplitude response, and the resonance areas is assessed. Xiao-lin, Cao aut Enthalten in Zeitschrift für Naturforschung. A, Physical sciences De Gruyter, 1947 71(2016), 10 vom: 14. Sept., Seite 943-948 (DE-627)129307378 (DE-600)124634-3 (DE-576)01450491X 0932-0784 nnns volume:71 year:2016 number:10 day:14 month:09 pages:943-948 https://doi.org/10.1515/zna-2016-0208 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-PHY SSG-OLC-CHE SSG-OLC-MAT SSG-OLC-AST SSG-OLC-FOR SSG-OPC-FOR SSG-OPC-AST GBV_ILN_59 GBV_ILN_70 GBV_ILN_121 GBV_ILN_267 GBV_ILN_2015 GBV_ILN_2409 GBV_ILN_4012 GBV_ILN_4046 GBV_ILN_4277 GBV_ILN_4302 GBV_ILN_4305 GBV_ILN_4320 AR 71 2016 10 14 09 943-948 |
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10.1515/zna-2016-0208 doi (DE-627)OLC213596929X (DE-B1597)zna-2016-0208-p DE-627 ger DE-627 rakwb 530 VZ Feng-xi, Zhou verfasserin aut A Transverse Dynamic Deflection Model for Thin Plate Made of Saturated Porous Materials 2016 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier ©2016 Walter de Gruyter GmbH, Berlin/Boston Abstract In this article, a transverse dynamic deflection model is established for thin plate made of saturated porous materials. Based on the Biot’s model for fluid-saturated porous media, using the Love–Kirchhoff hypothesis, the governing equations of transverse vibrations of fluid-saturated poroelastic plates are derived in detail, which take the inertial, fluid viscous, mechanical couplings, compressibility of solid, and fluid into account. The free vibration and forced vibration response of a simply supported poroelastic rectangular plate is obtained by Fourier series expansion method. Through numerical examples, the effect of porosity and permeability on the dynamic response, including the natural frequency, amplitude response, and the resonance areas is assessed. Xiao-lin, Cao aut Enthalten in Zeitschrift für Naturforschung. A, Physical sciences De Gruyter, 1947 71(2016), 10 vom: 14. Sept., Seite 943-948 (DE-627)129307378 (DE-600)124634-3 (DE-576)01450491X 0932-0784 nnns volume:71 year:2016 number:10 day:14 month:09 pages:943-948 https://doi.org/10.1515/zna-2016-0208 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-PHY SSG-OLC-CHE SSG-OLC-MAT SSG-OLC-AST SSG-OLC-FOR SSG-OPC-FOR SSG-OPC-AST GBV_ILN_59 GBV_ILN_70 GBV_ILN_121 GBV_ILN_267 GBV_ILN_2015 GBV_ILN_2409 GBV_ILN_4012 GBV_ILN_4046 GBV_ILN_4277 GBV_ILN_4302 GBV_ILN_4305 GBV_ILN_4320 AR 71 2016 10 14 09 943-948 |
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Abstract In this article, a transverse dynamic deflection model is established for thin plate made of saturated porous materials. Based on the Biot’s model for fluid-saturated porous media, using the Love–Kirchhoff hypothesis, the governing equations of transverse vibrations of fluid-saturated poroelastic plates are derived in detail, which take the inertial, fluid viscous, mechanical couplings, compressibility of solid, and fluid into account. The free vibration and forced vibration response of a simply supported poroelastic rectangular plate is obtained by Fourier series expansion method. Through numerical examples, the effect of porosity and permeability on the dynamic response, including the natural frequency, amplitude response, and the resonance areas is assessed. ©2016 Walter de Gruyter GmbH, Berlin/Boston |
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Abstract In this article, a transverse dynamic deflection model is established for thin plate made of saturated porous materials. Based on the Biot’s model for fluid-saturated porous media, using the Love–Kirchhoff hypothesis, the governing equations of transverse vibrations of fluid-saturated poroelastic plates are derived in detail, which take the inertial, fluid viscous, mechanical couplings, compressibility of solid, and fluid into account. The free vibration and forced vibration response of a simply supported poroelastic rectangular plate is obtained by Fourier series expansion method. Through numerical examples, the effect of porosity and permeability on the dynamic response, including the natural frequency, amplitude response, and the resonance areas is assessed. ©2016 Walter de Gruyter GmbH, Berlin/Boston |
| abstract_unstemmed |
Abstract In this article, a transverse dynamic deflection model is established for thin plate made of saturated porous materials. Based on the Biot’s model for fluid-saturated porous media, using the Love–Kirchhoff hypothesis, the governing equations of transverse vibrations of fluid-saturated poroelastic plates are derived in detail, which take the inertial, fluid viscous, mechanical couplings, compressibility of solid, and fluid into account. The free vibration and forced vibration response of a simply supported poroelastic rectangular plate is obtained by Fourier series expansion method. Through numerical examples, the effect of porosity and permeability on the dynamic response, including the natural frequency, amplitude response, and the resonance areas is assessed. ©2016 Walter de Gruyter GmbH, Berlin/Boston |
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A Transverse Dynamic Deflection Model for Thin Plate Made of Saturated Porous Materials |
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