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

Kaur, Narinder; Khanna, Anupam

doi:10.2140/jomms.2021.16.49

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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

DOI: 10.2140/jomms.2021.16.49

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.

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

Vol. 16, No. 1, 2021

Narinder Kaur and Anupam Khanna

Abstract

Keywords

Milestones

Authors