Free Vibration of Embedded Porous Plate Using Third-Order Shear Deformation and Poroelasticity Theories
This research aims at studying free vibration of rectangular plate made of porous materials in which Y-foam, G-foam, and Coustone are used and compared with each other. To obtain the Biot formulation of the constitutive equations for a porous material, linear poroelasticity theory is used. Young mod...
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| Format: | Article |
| Language: | English |
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Wiley
2017-01-01
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| Series: | Journal of Engineering |
| Online Access: | http://dx.doi.org/10.1155/2017/1474916 |
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| author | Ali Ghorbanpour Arani Zahra Khoddami Maraghi Mehdi Khani Iman Alinaghian |
| author_facet | Ali Ghorbanpour Arani Zahra Khoddami Maraghi Mehdi Khani Iman Alinaghian |
| author_sort | Ali Ghorbanpour Arani |
| collection | DOAJ |
| description | This research aims at studying free vibration of rectangular plate made of porous materials in which Y-foam, G-foam, and Coustone are used and compared with each other. To obtain the Biot formulation of the constitutive equations for a porous material, linear poroelasticity theory is used. Young modulus and density of porous plate are different in transverse direction versus porosity. In order to increase the accuracy of results in comparison with classical plate and first-order shear deformation theories, Reddy’s theory was utilized in this research. Besides, five coupled equations of motion have been studied using Hamilton’s principle and are solved by differential quadrature method (DQM). Detailed results of this study show the significant effect of aspect ratio, thickness ratio, boundary conditions, and porosity on dimensionless frequency and deflection of porous plate. Results of this study can contribute to the design of pneumatic conveying, handling, and control systems. |
| format | Article |
| id | doaj-art-683113723689498695e746c9105de5a2 |
| institution | Kabale University |
| issn | 2314-4904 2314-4912 |
| language | English |
| publishDate | 2017-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Engineering |
| spelling | doaj-art-683113723689498695e746c9105de5a22025-02-03T06:07:56ZengWileyJournal of Engineering2314-49042314-49122017-01-01201710.1155/2017/14749161474916Free Vibration of Embedded Porous Plate Using Third-Order Shear Deformation and Poroelasticity TheoriesAli Ghorbanpour Arani0Zahra Khoddami Maraghi1Mehdi Khani2Iman Alinaghian3Faculty of Mechanical Engineering, University of Kashan, Kashan, IranFaculty of Mechanical Engineering, University of Kashan, Kashan, IranFaculty of Mechanical Engineering, University of Kashan, Kashan, IranFaculty of Mechanical Engineering, University of Kashan, Kashan, IranThis research aims at studying free vibration of rectangular plate made of porous materials in which Y-foam, G-foam, and Coustone are used and compared with each other. To obtain the Biot formulation of the constitutive equations for a porous material, linear poroelasticity theory is used. Young modulus and density of porous plate are different in transverse direction versus porosity. In order to increase the accuracy of results in comparison with classical plate and first-order shear deformation theories, Reddy’s theory was utilized in this research. Besides, five coupled equations of motion have been studied using Hamilton’s principle and are solved by differential quadrature method (DQM). Detailed results of this study show the significant effect of aspect ratio, thickness ratio, boundary conditions, and porosity on dimensionless frequency and deflection of porous plate. Results of this study can contribute to the design of pneumatic conveying, handling, and control systems.http://dx.doi.org/10.1155/2017/1474916 |
| spellingShingle | Ali Ghorbanpour Arani Zahra Khoddami Maraghi Mehdi Khani Iman Alinaghian Free Vibration of Embedded Porous Plate Using Third-Order Shear Deformation and Poroelasticity Theories Journal of Engineering |
| title | Free Vibration of Embedded Porous Plate Using Third-Order Shear Deformation and Poroelasticity Theories |
| title_full | Free Vibration of Embedded Porous Plate Using Third-Order Shear Deformation and Poroelasticity Theories |
| title_fullStr | Free Vibration of Embedded Porous Plate Using Third-Order Shear Deformation and Poroelasticity Theories |
| title_full_unstemmed | Free Vibration of Embedded Porous Plate Using Third-Order Shear Deformation and Poroelasticity Theories |
| title_short | Free Vibration of Embedded Porous Plate Using Third-Order Shear Deformation and Poroelasticity Theories |
| title_sort | free vibration of embedded porous plate using third order shear deformation and poroelasticity theories |
| url | http://dx.doi.org/10.1155/2017/1474916 |
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