Table of Contents Author Guidelines Submit a Manuscript
Journal of Engineering
Volume 2017 (2017), Article ID 1474916, 13 pages
https://doi.org/10.1155/2017/1474916
Research Article

Free Vibration of Embedded Porous Plate Using Third-Order Shear Deformation and Poroelasticity Theories

Faculty of Mechanical Engineering, University of Kashan, Kashan, Iran

Correspondence should be addressed to Ali Ghorbanpour Arani; ri.ca.unahsak@nabrohga

Received 21 July 2016; Revised 17 October 2016; Accepted 7 November 2016; Published 24 January 2017

Academic Editor: Francis T. K. Au

Copyright © 2017 Ali Ghorbanpour Arani et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Linked References

  1. Porous Materials, http://www.uio.no/studier/emner/matnat/kjemi/KJM5100/h06/undervisningsmateriale/16KJM5100_2006_porous_e.pdf.
  2. M. A. Biot and D. G. Willis, “The elastic coefficients of the theory of consolidation,” Journal of Applied Mechanics, vol. 24, pp. 594–601, 1957. View at Google Scholar · View at MathSciNet
  3. D. Mansutti, G. Pontrelli, and K. R. Rajagopal, “Steady flows of non-Newtonian fluids past a porous plate with suction or injection,” International Journal for Numerical Methods in Fluids, vol. 17, no. 11, pp. 927–941, 1993. View at Publisher · View at Google Scholar · View at Scopus
  4. P. Leclaire, K. V. Horoshenkov, M. J. Swift, and D. C. Hothersall, “The vibrational response of a clamped rectangular porous plate,” Journal of Sound and Vibration, vol. 247, no. 1, pp. 19–31, 2001. View at Publisher · View at Google Scholar · View at Scopus
  5. P. Leclaire, K. V. Horoshenkov, and A. Cummings, “Transverse vibrations of a thin rectangular porous plate saturated by a fluid,” Journal of Sound and Vibration, vol. 247, no. 1, pp. 1–18, 2001. View at Publisher · View at Google Scholar · View at Scopus
  6. M. Schanz and S. Diebels, “A comparative study of Biot's theory and the linear theory of porous media for wave propagation problems,” Acta Mechanica, vol. 161, no. 3, pp. 213–235, 2003. View at Google Scholar · View at Scopus
  7. D. Debowski and K. Magnucki, “Dynamic stability of a porous rectangular plate,” Proceedings in Applied Mathematics and Mechanics, vol. 6, no. 1, pp. 215–216, 2006. View at Publisher · View at Google Scholar
  8. A. R. Khorshidvand, E. F. Joubaneh, M. Jabbari, and M. R. Eslami, “Buckling analysis of a porous circular plate with piezoelectric sensor-actuator layers under uniform radial compression,” Acta Mechanica, vol. 225, no. 1, pp. 179–193, 2014. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  9. M. Jabbari, A. Mojahedin, A. R. Khorshidvand, and M. R. Eslami, “Buckling analysis of a functionally graded thin circular plate made of saturated porous materials,” Journal of Engineering Mechanics, vol. 140, no. 2, pp. 287–295, 2014. View at Publisher · View at Google Scholar · View at Scopus
  10. M. Jabbari, A. Mojahedin, and M. Haghi, “Buckling analysis of thin circular FG plates made of saturated porous-soft ferromagnetic materials in transverse magnetic field,” Thin-Walled Structures, vol. 85, pp. 50–56, 2014. View at Publisher · View at Google Scholar · View at Scopus
  11. E. F. Joubaneh, A. Mojahedin, A. R. Khorshidvand, and M. Jabbari, “Thermal buckling analysis of porous circular plate with piezoelectric sensor-actuator layers under uniform thermal load,” Journal of Sandwich Structures and Materials, vol. 17, no. 1, pp. 3–25, 2015. View at Publisher · View at Google Scholar · View at Scopus
  12. A. Behravan Rad and M. Shariyat, “Three-dimensional magneto-elastic analysis of asymmetric variable thickness porous FGM circular plates with non-uniform tractions and Kerr elastic foundations,” Composite Structures, vol. 125, pp. 558–574, 2015. View at Publisher · View at Google Scholar · View at Scopus
  13. F. Ebrahimi and A. Jafari, “A Higher-order thermomechanical vibration analysis of temperature-dependent FGM beams with porosities,” Journal of Engineering, vol. 2016, pp. 1–20, 2016. View at Publisher · View at Google Scholar
  14. M. Bourada, A. Kaci, M. S. A. Houari, and A. Tounsi, “A new simple shear and normal deformations theory for functionally graded beams,” Steel and Composite Structures, vol. 18, no. 2, pp. 409–423, 2015. View at Publisher · View at Google Scholar · View at Scopus
  15. A. M. A. Neves, A. J. M. Ferreira, E. Carrera et al., “A quasi-3D hyperbolic shear deformation theory for the static and free vibration analysis of functionally graded plates,” Composite Structures, vol. 94, no. 5, pp. 1814–1825, 2012. View at Publisher · View at Google Scholar · View at Scopus
  16. H. Hebali, A. Tounsi, M. S. A. Houari, A. Bessaim, and E. A. A. Bedia, “New quasi-3D hyperbolic shear deformation theory for the static and free vibration analysis of functionally graded plates,” Journal of Engineering Mechanics, vol. 140, no. 2, pp. 374–383, 2014. View at Publisher · View at Google Scholar · View at Scopus
  17. E. Detournay and A. H. D. Chen, Fundamentals of Poroelasticity, Pergamon Press, 1993.
  18. J. N. Reddy, Theory And Analysis of Elastic Plates And Shells, CRC Press, New York, NY, USA, 2007.
  19. C. M. Wang, J. N. Reddy, and K. H. Lee, Shear Deformable Beam and Plate Relation with Classical Solution, Elsevier Science, London, UK, 2000.
  20. J. N. Reddy, Energy Principles and Variational Methods in Applied Mechanics, John Wiley & Sons, Hoboken, NJ, USA, 2000.
  21. A. Ghorbanpour Arani and Z. Khoddami Maraghi, “A feedback control system for vibration of magnetostrictive plate subjected to follower force using sinusoidal shear deformation theory,” Ain Shams Engineering Journal, vol. 7, no. 1, pp. 361–369, 2014. View at Publisher · View at Google Scholar · View at Scopus
  22. A. Ghorbanpour Arani, Z. Khoddami Maraghi, and H. Khani Arani, “Orthotropic patterns of Pasternak foundation in smart vibration analysis of magnetostrictive nanoplate,” Journal of Mechanical Engineering Science: Part C, vol. 230, no. 4, pp. 559–572, 2015. View at Google Scholar
  23. C. Shu, Differential quadrature and its application in engineering, Springer, London, UK, 2000. View at Publisher · View at Google Scholar · View at MathSciNet
  24. N. S. Bardell, “The application of symbolic computing to the hierarchical finite element method,” International Journal for Numerical Methods in Engineering, vol. 28, no. 5, pp. 1181–1204, 1989. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  25. Y. Wang, X. Wang, and Y. Zhou, “Static and free vibration analyses of rectangular plates by the new version of the differential quadrature element method,” International Journal for Numerical Methods in Engineering, vol. 59, no. 9, pp. 1207–1226, 2004. View at Publisher · View at Google Scholar · View at Scopus
  26. Z.-X. Wang and H.-S. Shen, “Nonlinear vibration and bending of sandwich plates with nanotube-reinforced composite face sheets,” Composites Part B: Engineering, vol. 43, no. 2, pp. 411–421, 2012. View at Publisher · View at Google Scholar · View at Scopus