Multiple Mode Nonlinear Analysis of Circular Plates
Publication: Journal of Engineering Mechanics
Volume 109, Issue 4
Abstract
Nonlinear dynamic behaviors of plates of various geometries have been studied by several investigators in the past. Almost all of these investigations are based on the classical von rn‐type plate theory. Due to the complex nature of these class of problems, multiple‐mode solutions are very rare. This paper is concerned with nonlinear flexural vibrations of moderately thick circular plates using an improved nonlinear theory to account for transverse shear and rotatory inertia effects. Multiple‐mode analysis is carried out by means of Galerkin's method and numerical Runge‐Kutta procedure for clamped plates with both movable and immovable edges. For the multiple‐mode considered here an exact solution to stress function is reported. Amplitudeperiod response curves are presented and discussion includes the effect of coupling of vibration modes. Present results for all special cases are in excellent agreement with existing solutions. The analysis given here provides improved results and a clear insight into the effects of geometric nonlinearity due to large deformation coupled with the effects of transverse shear, rotatory inertia and modal interation.
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Information & Authors
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Published In
Journal of Engineering Mechanics
Volume 109 • Issue 4 • August 1983
Pages: 1114 - 1123
Copyright
Copyright © 1983 ASCE.
History
Published online: Aug 1, 1983
Published in print: Aug 1983
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