Effect of varying poisson ratio on thermally induced vibrations of non-homogeneous rectangular plate

Anupam Khanna; Narinder Kaur; Ashish Kumar Sharma

doi:10.17485/ijst/2012/v5i9.13

Article

Effect of varying poisson ratio on thermally induced vibrations of non-homogeneous rectangular plate

VIEWS 711
PDF 347

Abstract
Full-Text HTML
Full-Text PDF
How to Cite

Indian Journal of Science and Technology

DOI: 10.17485/ijst/2012/v5i9.13

Year: 2012, Volume: 5, Issue: 9, Pages: 1-5

Original Article

Effect of varying poisson ratio on thermally induced vibrations of non-homogeneous rectangular plate

Anupam Khanna^1*, Narinder Kaur² , Ashish Kumar Sharma³

^{1 *}Department of Mathematics, Maharishi Markandeshwar University, Mullana, Ambala,
² Department of Mathematics, Maharishi Markandeshwar University,
³ Department of Mathematics, ManavBharti University, Solan (H.P.), India 1*[email protected], [email protected], [email protected]
*Author For Correspondence
Anupam Khanna
Department of Mathematics
Email:^1*[email protected]

This work is licensed under a Creative Commons Attribution 4.0 International License.

Abstract

A mathematical model will help the engineers in science and technology applications. In this paper, authors studied a temperature-thickness coupling problem of a non-homogeneous rectangular plate in which temperature varies bilinearly & thickness varies linearly in x-direction. Due to non-homogeneity, it is considered that poisson ratio varies exponentially in x direction. Ray-Leigh Ritz method has been adopted to calculate the time period for fixed two modes of vibration for different values of aspect ratio, thermal gradient and taper constants. All results are shown in graphs.
Keywords: Vibration, Thermal gradient, Taper constant, Aspect Ratio, Time Period