Affiliation:
1. Department of Mathematics, Indian Institute of Technology, Roorkee, Roorkee-247 667, Uttranchal, India
Abstract
The title problem is analyzed when nodal lines are concentric ellipses by using boundary characteristic orthonormal polynomials in Rayleigh-Ritz method for Winkler foundation where quadratically varying thickness is controlled by two independent taper constants. Numerical results for frequencies, nodal ellipses and mode shapes for first four modes of vibration are presented for plates of free, simply-supported and clamped edge conditions for various values of aspect ratio, taper, orthotropy and foundation parameters.
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