Vibration of Pressure Loaded Nonlinear Rectangular Plates with Cross Stiffener
Publication: Journal of Engineering Mechanics
Volume 128, Issue 7
Abstract
The resonant frequency response of large static pressure loaded, nonlinear rectangular plates with a cross stiffener have been investigated theoretically. The nonlinear Berger equation was solved by applying the finite-difference method. Replacing the partial differential equation governing the small amplitude vibration of static pressure loaded plates and the boundary conditions by the finite-difference equations approximately, the simultaneous, homogeneous, and algebraic equations are obtained. Under the condition that the determinant of coefficient matrix must be equal to zero, the resonant frequencies are determined. The numerical procedure is simpler than the procedures based on the von Kármán theory, and reasonable results are obtained.
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References
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Information
Published In
Journal of Engineering Mechanics
Volume 128 • Issue 7 • July 2002
Pages: 788 - 794
Copyright
Copyright © 2002 American Society of Civil Engineers.
History
Received: Jan 11, 2000
Accepted: Jan 7, 2002
Published online: Jun 14, 2002
Published in print: Jul 2002
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