Damped vibration of rectangular plates of parabolically varying thickness resting on elastic foundation considering the effect of thermally induced non-homogeneity

A mathematical model is developed to assist the engineers by studying and analyzing the effect of damping and elastic foundation on natural frequencies of a non-homogenous (thermally induced) rectangular plate of parabolically varying thickness. Frequencies corresponding to the first three modes of vibration are computed for the rectangular plate with clamped-simply supported-clamped-simply supported (C-SS-C-SS), clamped-simply supported-simply supported-simply supported (C-SS-SS-SS) edge conditions for different values of taper constants, damping parameter and elastic foundation parameter. Results are depicted graphically to comprehend the results in easy way.