Vibration frequencies of a rectangular plate with linear variation in thickness and circular variation in Poisson’s ratio
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Amity University Haryana, Department of Mathematics, Gurugram, India
Submission date: 2018-02-07
Acceptance date: 2019-03-01
Online publication date: 2019-07-15
Publication date: 2019-07-15
Journal of Theoretical and Applied Mechanics 2019;57(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.
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