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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Bibliographic Details
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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Summary: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.
ISSN:0022-460X
1095-8568
DOI:10.1016/j.jsv.2008.01.013