NONLINEAR VIBRATION OF CIRCULAR SANDWICH PLATE UNDER THE UNIFORMED LOAD

Applied Mathematics and Mechanics (English Edition) ›› 2000, Vol. 21 ›› Issue (2): 217-226.

NONLINEAR VIBRATION OF CIRCULAR SANDWICH PLATE UNDER THE UNIFORMED LOAD

杜国君, 李慧剑

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

收稿日期:1998-10-06 修回日期:1999-09-22 出版日期:2000-02-18 发布日期:2000-02-18

NONLINEAR VIBRATION OF CIRCULAR SANDWICH PLATE UNDER THE UNIFORMED LOAD

Du Guojun, Li Huijian

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

Received:1998-10-06 Revised:1999-09-22 Online:2000-02-18 Published:2000-02-18

摘要/Abstract

摘要： 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.

关键词: circular sandwich plate, uniformed load, nonlinear, amplitude frequency-load characteristic relation

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.

Key words: circular sandwich plate, uniformed load, nonlinear, amplitude frequency-load characteristic relation

中图分类号:

O327
O343.5

杜国君;李慧剑. NONLINEAR VIBRATION OF CIRCULAR SANDWICH PLATE UNDER THE UNIFORMED LOAD[J]. Applied Mathematics and Mechanics (English Edition), 2000, 21(2): 217-226.

Du Guojun;Li Huijian. NONLINEAR VIBRATION OF CIRCULAR SANDWICH PLATE UNDER THE UNIFORMED LOAD[J]. Applied Mathematics and Mechanics (English Edition), 2000, 21(2): 217-226.

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NONLINEAR VIBRATION OF CIRCULAR SANDWICH PLATE UNDER THE UNIFORMED LOAD

NONLINEAR VIBRATION OF CIRCULAR SANDWICH PLATE UNDER THE UNIFORMED LOAD

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