Effect of Initial Curvature on Natural Frequency of Thin Plate on Hinge Supports
Publication: Journal of Engineering Mechanics
Volume 120, Issue 4
Abstract
This study investigates the influence of initial curvature on the dynamic behavior of a hinge‐supported thin plate. The large‐deflection theory is used to determine the mid‐plane forces produced by the deflection and the initial curvature. Then, the vertical components of the mid‐plane forces are found as a set of distributive surface loads applied on the plate in the transverse direction. Subsequently, the equilibrium condition of the plate is expressed in a nonlinear differential equation. With proper simplification and linearization the differential equation leads to a special type of eigenvalue problem that can be solved by using a weighted residual method. Hence, the natural frequencies and modes are found. The computational results of examples clearly demonstrate the phenomenon of the natural frequencies moving upward when the plate is preformed into the shape of a specific mode of vibration.
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Information & Authors
Information
Published In
Journal of Engineering Mechanics
Volume 120 • Issue 4 • April 1994
Pages: 796 - 813
Copyright
Copyright © 1994 American Society of Civil Engineers.
History
Received: Jul 29, 1992
Published online: Apr 1, 1994
Published in print: Apr 1994
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