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ORIGINAL PAPER
A Study on Vibration of Tapered Non-Homogeneous Rectangular Plate with Structural Parameters
1
Department of Mathematics, Statistics and Physics, Punjab Agricultural University, Ludhiana, Punjab, India
2
Department of Mathematics, Dr. Akhilesh Das Gupta Institute of Technology and Management, New Delhi, India
3
Department of Mathematics, D.A.V. College Sadhaura, Yamunanagar, Haryana, India
Online publication date: 2018-11-21
Publication date: 2018-11-01
International Journal of Applied Mechanics and Engineering 2018;23(4):873-884
KEYWORDS
ABSTRACT
Effects of structural parameters on the vibration of a tapered non-homogeneous rectangular plate with different combinations of boundary conditions are discussed. Tapering in the plate is assumed to be sinusoidal in the x-direction. Here, temperature variation and non-homogeneity in the plate material are also considered sinusoidal in the x-direction. The Rayleigh-Ritz method is used to calculate the frequency parameter for the first two modes of vibration for different values of the structural parameters, i.e. the taper parameter, thermal gradient, aspect ratio and non-homogeneity constant. Results are obtained for three boundary conditions, i.e. clamped boundary (C-C-C-C), simply supported boundary (SS-SS-SS-SS) and clamped-simply supported boundary (CSS-C-SS). Numerical values of the frequency parameter are given in a compact tabular form.
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