Table of Contents Author Guidelines Submit a Manuscript
Shock and Vibration
Volume 2014 (2014), Article ID 392325, 6 pages
http://dx.doi.org/10.1155/2014/392325
Research Article

Free Transverse Vibration of Orthotropic Thin Trapezoidal Plate of Parabolically Varying Thickness Subjected to Linear Temperature Distribution

Department of Mathematics, M.S. College, Saharanpur 247001, India

Received 21 October 2013; Revised 4 March 2014; Accepted 20 March 2014; Published 3 April 2014

Academic Editor: Anindya Ghoshal

Copyright © 2014 Arun Kumar Gupta and Shanu Sharma. 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. A. M. Zenkour, “An exact solution for the bending of thin rectangular plates with uniform, linear, and quadratic thickness variations,” International Journal of Mechanical Sciences, vol. 45, no. 2, pp. 295–315, 2003. View at Publisher · View at Google Scholar · View at Scopus
  2. J. S. Tomar, D. C. Gupta, and N. C. Jain, “Axisymmetric vibrations of an isotropic elastic non-homogeneous circular plate of linearly varying thickness,” Journal of Sound and Vibration, vol. 85, no. 3, pp. 365–370, 1982. View at Google Scholar · View at Scopus
  3. J. S. Tomar, D. C. Gupta, and N. C. Jain, “Free vibrations of an isotropic non homogeneous infinite plate of parabolically varying thickness,” International Journal of Pure and Applied Mathematics, vol. 15, no. 2, pp. 220–221, 1984. View at Google Scholar
  4. S. Srinivas, C. V. Joga Rao, and A. K. Rao, “An exact analysis for vibration of simply-supported homogeneous and laminated thick rectangular plates,” Journal of Sound and Vibration, vol. 12, no. 2, pp. 187–199, 1970. View at Google Scholar · View at Scopus
  5. H. T. Saliba, “Transverse free vibration of fully clamped symmetrical trapezoidal plates,” Journal of Sound and Vibration, vol. 126, no. 2, pp. 237–247, 1988. View at Google Scholar · View at Scopus
  6. R. M. Orris and M. Petyt, “A finite element study of the vibration of trapezoidal plates,” Journal of Sound and Vibration, vol. 27, no. 3, pp. 325–344, 1973. View at Google Scholar
  7. M. S. Qatu, “Natural frequencies for cantilevered laminated composite right triangular and trapezoidal plates,” Composites Science and Technology, vol. 51, no. 3, pp. 441–449, 1994. View at Google Scholar · View at Scopus
  8. S. Kitipornchai, Y. Xiang, K. M. Liew, and M. K. Lim, “A global approach for vibration of thick trapezoidal plates,” Computers and Structures, vol. 53, no. 1, pp. 83–92, 1994. View at Google Scholar · View at Scopus
  9. A. K. Gupta and S. Sharma, “Thermally induced vibration of orthotropic trapezoidal plate of linearly varying thickness,” JVC/Journal of Vibration and Control, vol. 17, no. 10, pp. 1591–1598, 2011. View at Publisher · View at Google Scholar · View at Scopus
  10. A. W. Leissa, Vibration of Plates, NASA SP-160, US Government Printing Office, Washington, DC, USA, 1969.
  11. K. M. Liew and M. K. Lim, “Transverse vibration of trapezoidal plates of variable thickness: symmetric trapezoids,” Journal of Sound and Vibration, vol. 165, no. 1, pp. 45–67, 1993. View at Publisher · View at Google Scholar · View at Scopus