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Vibration frequencies of a rectangular plate with linear variation in thickness and circular variation in Poisson’s ratio

Sharma Amit

Journal of Theoretical and Applied Mechanics

2019

Vol. 57 nr 3

605--615

The frequency for the first two modes of vibration of a nonhomogeneous tapered rectangular plate is calculated under a bi linear (i.e., linear along both the axes) temperature field. For consideration of the nonhomogeneous material, the author assumed circular variation in Poisson’s ratio. Tapering in the plate is assumed to be linear in one direction. The results are calculated for different values of plate parameters and presented with the help of graphs. Comparison of the results is also given, to support the results of the present study.

Vibration of skew plate with circular variation in thickness and Poisson’s ratio

Sharma A.

Mechanics and Mechanical Engineering

2018

Vol. 22, nr 1

49--58

The present study analyzes the natural vibration of non homogeneous visco elastic skew plate (parallelogram plate) with non uniform thickness under temperature field. Here non homogeneity in the plate's material arises due to circular variation in Poisson's ratio. Also the circular variation in thickness causes non uniformity in the shape of the plate. Bi linear temperature variation on the plate along both the axes is being viewed. The equation of motion related to frequency modes are solved by Rayleigh Ritz method. The findings of the present analysis are presented with the help of tables.