Journal of Applied Science and Engineering

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N. Bhardwaj This email address is being protected from spambots. You need JavaScript enabled to view it.1, A. P. Gupta2 and K. K. Choong3

1Department of Mathematics, I.I.T. Roorkee, Roorkee- 247 667, India
2Department of Applid Science and Humanities, Institute of Technology and Management, Huda-Sector-23-A, Guragaon-122 017, Haryana (India)
3School of Civil Enginnering, University of Science Malaysia, Enginnering Campus, 14300 Nobong Tebal, Seberang Perai Selatan, P. Pinang, Malaysia


 

Received: March 4, 2005
Accepted: June 24, 2005
Publication Date: March 1, 2006

Download Citation: ||https://doi.org/10.6180/jase.2006.9.1.01  


ABSTRACT


Two dimensional boundary characteristic orthonormal polynomials are used in Rayleigh-Ritz method to analyze the rectangular orthotropic quarter elliptic plates of varying thickness resting on Winkler elastic foundation. The thickness is taken linearly along both the principal axes. The curved edge of the plate is taken simply supported. Results for first six frequencies for various values of parameters are presented in tables. Nodal lines and three-dimensional graphs are plotted.


Keywords: Vibration, Orthonormal Polynomials, Rayleigh-Ritz Method, Varying Thickness, Winkler Elastic Foundation


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