Vibration study of non-homogeneous trapezoidal plates of variable thickness under thermal gradient. (March 2016)

• Record Type: Journal Article
• Authors: Gupta, Arun Kumar; Sharma, Pragati
• Is Part Of: Journal of vibration and control. Volume 22:Number 5(2016)
• Page Start: 1369
• Page End: 1379
• Publication Date: 2016-03
• Subjects: Aspect ratio -- linear -- non-homogeneity -- parabolic -- taper constant -- thermal gradient -- trapezoidal plate; Vibration -- Periodicals; Damping (Mechanics) -- Periodicals; 620.3
• DOI: 10.1177/1077546314535280
• Languages: English
• ISSNs: 1077-5463

Abstract

The aim of the present work is to study the free transverse vibrations of non-homogeneous trapezoidal plates of linear thickness variation in the x -direction under thermal gradient effect. The non-homogeneity of the plate is assumed to arise due to parabolic density variation in the y -direction. A two term deflection function has been taken for clamped-simply supported–clamped-simply supported boundary conditions. The Rayleigh-Ritz method is used to obtain a frequency equation for the first two modes of vibration. The effect of non-homogeneity constant, aspect ratios, taper constant and thermal gradient on the frequencies of non-homogeneous trapezoidal plate has been illustrated for the first two modes of vibration. Results are presented in graphical form. Confirmation of results in special cases with authors published one has also been presented.