Research Article
Dec 1974
Vibrations of Triangular Viscoelastic Plates
Authors: John S. Hewitt and Jagannath MazumdarAuthor Affiliations
Publication: Journal of the Engineering Mechanics Division
Volume 100, Issue 6
Abstract
A method that was based on the concept of contour lines of equal deflection on the surface of the plate and developed for transverse vibration of viscoelastic plates is applied to the case of an equilateral triangular plate. Two equations are to be solved. The first is for the mode shapes and is solved using Galerkin's method for the first five mode shapes and elastic frequencies. The solution of the second equation, the time dependence equation, is given for impulsive loading of the plate of standard linear solid material for a range of values of the material constants. Some qualitative conclusions between the nature of the plate response and the material characteristics are drawn.
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Published In
Journal of the Engineering Mechanics Division
Volume 100 • Issue 6 • December 1974
Pages: 1143 - 1148
Copyright
© 1974 American Society of Civil Engineers.
History
Published in print: Dec 1974
Published online: Feb 3, 2021
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John S. Hewitt
Research Student, Dept. of Applied Mathematics, Univ. of Adelaide, Adelaide, South Australia
Jagannath Mazumdar
Sr. Lect., Dept. of Applied Mathematics, Univ. of Adelaide, Adelaide, South Australia
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