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ON THE NON-LINEAR VIBRATION OF THE VON KARMAN SQUARE PLATE BY THE IHB METHOD

โœ Scribed by A.Y.T. Leung; S.K. Chui

Publisher
Elsevier Science
Year
1997
Tongue
English
Weight
193 KB
Volume
204
Category
Article
ISSN
0022-460X

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โœฆ Synopsis

Non-linear phenomena in the vibration of a square plate subject to lateral forcing are studied. Starting from the dynamic analogue of the von Kaยดrmaยดn partial differential equations that govern the motion of the plate, a system of second order non-linear ordinary differential equations are derived. Using the IHB method, a numerical bifurcation analysis is performed in which interaction between spatial modes is examined. A number of diagrams of resonance curves and bifurcation are presented.

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