A mathematical model on thermally induced vibration of tapered rectangular plate

Narinder Kaur; Anupam Khanna

doi:10.14513/actatechjaur.00767

Authors

Narinder Kaur Department of Mathematics, Statistics and Physics, Punjab Agricultural University, Ludhiana, India
Anupam Khanna Department of Mathematics, D.A.V. College, Sadhaura, Yamunanagar, Haryana, India

DOI:

https://doi.org/10.14513/actatechjaur.00767

Keywords:

vibration, tapered, thermal gradient, frequency, structural parameters, aspect ratio

Abstract

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.

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