A mathematical model on thermally induced vibration of tapered rectangular plate

A theoretical mathematical model on vibration of rectangular plate is discussed. In this study, the vibration of the bi-parabolic tapered rectangular plate is analyzed under two different boundary conditions i.e. clamped (C-C-C-C) and simply supported (SS-SS-SS-SS). Also, the author considered bi-parabolic variation in the temperature field which occurs due to thermally induced vibration in rectangular plate. Results of frequency for the first two modes of vibration are obtained by using Rayleigh-Ritz method. Variations in frequency for first two modes of vibration at different values of structural parameters (thermal gradient, taper constants, and aspect ratio) and boundary conditions are well explained with the help of graphs.