Nonlinear Vibration of Circular Sandwich Plate Under the Uniformed Load

Du Guojun; Li Huijian

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Du Guojun, Li Huijian. Nonlinear Vibration of Circular Sandwich Plate Under the Uniformed Load[J]. Applied Mathematics and Mechanics, 2000, 21(2): 192-200.

Citation:

Du Guojun, Li Huijian. Nonlinear Vibration of Circular Sandwich Plate Under the Uniformed Load[J]. Applied Mathematics and Mechanics, 2000, 21(2): 192-200.

Citation:

Du Guojun, Li Huijian. Nonlinear Vibration of Circular Sandwich Plate Under the Uniformed Load[J]. Applied Mathematics and Mechanics, 2000, 21(2): 192-200.

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Nonlinear Vibration of Circular Sandwich Plate Under the Uniformed Load

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

Received Date: 1998-10-06
Rev Recd Date: 1999-09-22
Publish Date: 2000-02-15

Abstract

Abstract

The differential equations of the axisymmetric large amplitude free vibration for circular sandwich plates under static load are derived,and a set of nonlinearly coupled algebraic and differential eigenvalue equations of the problem are formulated following an assumed time mode approach suggested.The analytic solutions are presented and a relation for amplitude frequency-load of the plates with edge clamped is derived by modified iteration method.The effects of static load on vibrations of plates are investigated.
- circular sandwich plate,
- uniformed load,
- nonlinear,
- amplitude frequency-load characteristic relation

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References(11)

References

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