Transverse Vibration of Thick Annular Sector Plates
Publication: Journal of Engineering Mechanics
Volume 119, Issue 8
Abstract
This paper investigates the free vibration of thick sector plates with different supporting edge conditions. The Rayleigh‐Ritz procedure is used in the energy functional, which includes the effect of shear deformation and rotatory inertia in deriving the governing eigenvalue equation. Sets of mathematically complete two‐dimensional polynomials (P‐2) are used as the admissible displacement and rotational functions. A basic function (B) is introduced to satisfy the prescribed free, simply supported and clamped supporting edge conditions. This resulting PB‐2 Rayleigh‐Ritz method is applied to obtain solutions for thick sector plates of different radii (cutout ratios), sector angles, relative thickness ratios and with various end conditions along the radial and circumferential edges. The present results, wherever possible, are compared with existing published values from the open literature.
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Information & Authors
Information
Published In
Journal of Engineering Mechanics
Volume 119 • Issue 8 • August 1993
Pages: 1579 - 1599
Copyright
Copyright © 1993 American Society of Civil Engineers.
History
Received: Jul 10, 1992
Published online: Aug 1, 1993
Published in print: Aug 1993
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