Nonlinear Vibration and Buckling of Circular Sandwich Plate Under Complex Load

DU Guo-jun; MA Jian-qing

Volume 28 Issue 8

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Article Navigation > Applied Mathematics and Mechanics > 2007 > 28(8): 967-975

DU Guo-jun, MA Jian-qing. Nonlinear Vibration and Buckling of Circular Sandwich Plate Under Complex Load[J]. Applied Mathematics and Mechanics, 2007, 28(8): 967-975.

Citation:

DU Guo-jun, MA Jian-qing. Nonlinear Vibration and Buckling of Circular Sandwich Plate Under Complex Load[J]. Applied Mathematics and Mechanics, 2007, 28(8): 967-975.

Citation:

DU Guo-jun, MA Jian-qing. Nonlinear Vibration and Buckling of Circular Sandwich Plate Under Complex Load[J]. Applied Mathematics and Mechanics, 2007, 28(8): 967-975.

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Nonlinear Vibration and Buckling of Circular Sandwich Plate Under Complex Load

School of Civil Engineering and Mechanics, Yanshan University, Qinhuangdao, Hebei 066004, P. R. China

Received Date: 2006-11-20
Rev Recd Date: 2007-05-18
Publish Date: 2007-08-15

Abstract

Abstract

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 K鄏m鄋 plate theory,and then accordingly exact solution of static load and its numerical results is 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 which the two kinds of load affected the vibration character of the circular sandwich plate was investigated.When circumjacent load makes the lowest natural frequency zero,critical load is obtained.
- circular sandwich plate,
- nonlinear vibration,
- buckling,
- complex load,
- amplitude frequency-load character relation

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References(12)

References

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