Analytical Solution to Free Vibration of Sector Plates
Publication: Journal of Engineering Mechanics
Volume 115, Issue 12
Abstract
A solution is presented for the free out‐of‐plane vibration of thin, isotropic annular sector plates with different edge conditions. The classical method of separation of variables is employed. The basic functions in the tangential direction are chosen as the eigenfunctions for vibrating beams. These functions are employed in the finite‐strip method. However, the advantage of this method lies in the analytical, instead of numerical, representation of the funtctions in the radial direction. Satisfaction of the governing differential equation of the plate is achieved by the selection of general time‐dependent functions and the derivation of appropriate analytical radial functions in terms of Bessel functions. Sector plates of different radii and outer‐radius‐to‐thickness ratios, and with various end conditions along the straight and circular edges have been analyzed. Wherever possible, results are compared to previously published ones.
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Information & Authors
Information
Published In
Journal of Engineering Mechanics
Volume 115 • Issue 12 • December 1989
Pages: 2709 - 2722
Copyright
Copyright © 1989 ASCE.
History
Published online: Dec 1, 1989
Published in print: Dec 1989
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