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Accurate and elegant free vibration and buckling studies of orthotropic rectangular plates using untruncated infinite series

This paper presents the extension of a novel superposition method, put forth for static analysis earlier, for carrying out free vibration and bifurcation buckling studies of orthotropic rectangular plates with any combination of classical boundary conditions viz. clamped, simply supported and free e...

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Published in:	Journal of sound and vibration 2008-07, Vol.314 (3), p.837-850
Main Authors:	Kshirsagar, S., Bhaskar, K.
Format:	Article
Language:	English
Subjects:	Buckling Exact sciences and technology Exact solutions Free vibration Fundamental areas of phenomenology (including applications) Infinite series Mathematical analysis Physics Rectangular plates Simplification Solid mechanics Static elasticity (thermoelasticity...) Structural and continuum mechanics Vibration Vibration, mechanical wave, dynamic stability (aeroelasticity, vibration control...)
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description	This paper presents the extension of a novel superposition method, put forth for static analysis earlier, for carrying out free vibration and bifurcation buckling studies of orthotropic rectangular plates with any combination of classical boundary conditions viz. clamped, simply supported and free edges. It is shown that use of infinite series counterparts of conventional Levy-type closed-form expressions result in a tremendous simplification of the problem without any compromise on accuracy. The complicating effects of an elastic foundation and initial stresses are also shown to be easily accounted for. Results, useful as benchmarks in future, are presented for a chosen set of cases.
doi_str_mv	10.1016/j.jsv.2008.01.013
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source	ScienceDirect Journals
subjects	Buckling Exact sciences and technology Exact solutions Free vibration Fundamental areas of phenomenology (including applications) Infinite series Mathematical analysis Physics Rectangular plates Simplification Solid mechanics Static elasticity (thermoelasticity...) Structural and continuum mechanics Vibration Vibration, mechanical wave, dynamic stability (aeroelasticity, vibration control...)
title	Accurate and elegant free vibration and buckling studies of orthotropic rectangular plates using untruncated infinite series
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