Vibration of Mindlin Plates on Point Supports Using Constraint Functions
Publication: Journal of Engineering Mechanics
Volume 120, Issue 3
Abstract
This paper presents the first known solutions for free flexural vibration of Mindlin plates of arbitrary shape with internal point supports. A new approach for modeling the point supports in vibration analysis is proposed. The method is based on the use of a set of pb‐2 shape functions to account for prescribed boundary conditions of different shapes. Internal point supports are imposed as geometric constraints in the final formulation of the governing eigenvalue equation. The proposed method is employed to determine the vibration frequencies of square and circular plates having an arbitrary number of internal point supports. Comparisons with known thin‐plate solutions are carried out, where possible, to verify the accuracy of the proposed method.
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Information & Authors
Information
Published In
Journal of Engineering Mechanics
Volume 120 • Issue 3 • March 1994
Pages: 499 - 513
Copyright
Copyright © 1994 American Society of Civil Engineers.
History
Received: Jan 11, 1993
Published online: Mar 1, 1994
Published in print: Mar 1994
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