Abstract
Based on the modified Karman equations considering the effect of transverse
inertia force, fairly accurate solutions are obtained for the nonlinear vibration
of rectangular Plates subjected to the uniformly distributed pulsating load.
The Problem is solved zmder four different boundary conditions, first applying
the Galerkin method to reduce the Problem to that of a finite-degree of freedom
system and then applying the harmonic balance method to the resulting equations.
Calculations are carried out for the square Plates in each case under
the assumption of the three-degree of freedom system and the nonlinear
responses, including not only the fundamental resonance but also those for
super and sub-harmonics, are clarified for wide range of frequencies under
various load intensities.
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