Behavior of frequencies of orthotropic rectangular plate with circular variations in thickness and density

In this article, authors dealt with general solution of differential equation orthotropic rectangular plate clamped boundary conditions under bi-parabolic temperature variations. Rayleigh Ritz technique is adopted to solve the resultant and evaluate frequencies for first four modes vibration. The effect circular thickness density on are analyzed which not done yet. objective study optimize frequency by choosing appropriate variation in parameters. Th findings complete article. All results provided tabular form.