Vol. 16, No. 1, 2021

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On vibration of bidirectional tapered triangular plate under the effect of thermal gradient

Narinder Kaur and Anupam Khanna

Vol. 16 (2021), No. 1, 49–62
Abstract

This work deals with natural vibration of isotropic triangular plate under different geometrical and thermal conditions. In this paper, effects of bilinear tapering along with linear thermal condition are discussed for the vibration of triangular plates. Time period and deflection for both the modes of vibration for different types of clamped triangular plates, i.e., an isosceles triangular plate, right-angled triangular plate, and scalene triangular plate, are determined by using Rayleigh–Ritz method. Numerical results are calculated for different values of structural parameters, i.e., thermal gradient, taper parameters, and aspect ratios, and presented in tabular form.

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Keywords
isotropic, time period, thermal gradient, viscoelastic, taper parameters, deflection, aspect ratios
Milestones
Received: 17 July 2020
Revised: 2 November 2020
Accepted: 7 November 2020
Published: 25 April 2021
Authors
Narinder Kaur
Department of Mathematics, Statistics and Physics
Punjab Agricultural University
Ludhiana
India
Anupam Khanna
Department of Mathematics
DAV College
Sadhaura
India