Journal
APPLIED MATHEMATICS AND MECHANICS-ENGLISH EDITION
Volume 28, Issue 8, Pages 1081-1091Publisher
SHANGHAI UNIV
DOI: 10.1007/s10483-007-0810-z
Keywords
circular sandwich plate; nonlinear vibration; buckling; complex load; amplitude frequency-load characteristic relation
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The nonlinear vibration fundamental equation of circular sandwich plate under uniformed load and circumjacent load and the loosely clamped boundary condition were established by von Karman plate theory, and then accordingly exact solution of static load and its numerical results were given. Based on time mode hypothesis and the variational method, the control equation of the space mode was derived, and then the amplitude frequency-load character relation of circular sandwich plate was obtained by the modified iteration method. Consequently the rule of the effect of the two kinds of load on the vibration character of the circular sandwich plate was investigated. When circumjacent load makes the lowest natural frequency zero, critical load is obtained.
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