Admissions Open
Admissions Open
The study of transverse vibration of plates of variable thickness is very important in a wide variety of applications in the industry and engineering. In the present paper an attempt is made to calculate the natural frequencies of trapezoidal plate of variable thickness. Further, the paper presents a non-homogeneous, symmetric trapezoidal plate with parabolic varying thickness in both directions. The non-homogeneity in plate’s material has been assumed to occur because of parabolic variation in density along the length of the plate. The governing differential equations have been achieved by Rayleigh-Ritz’s technique. To attain the fundamental frequencies a two term deflection function with clamped simply-supported clamped simply-supported boundary condition has been considered. For the first two modes of vibration the effect of structural parameters such as taper constants, thermal gradient, non-homogeneity constant and aspect ratio has been examined. All the acquired numerical results are displayed graphically. Confirmation of results of the present study has been shown with authors published paper.