VIBRATION PROBLEMS OF FLEXIBLE CIRCULAR PLATES WITH INITIAL DEFLECTION

Applied Mathematics and Mechanics (English Edition) ›› 1993, Vol. 14 ›› Issue (2): 177-184.

VIBRATION PROBLEMS OF FLEXIBLE CIRCULAR PLATES WITH INITIAL DEFLECTION

王晋莹, 陈科进

Xi’an Highway Institute, Xi’an

收稿日期:1991-11-25 出版日期:1993-02-18 发布日期:1993-02-18

VIBRATION PROBLEMS OF FLEXIBLE CIRCULAR PLATES WITH INITIAL DEFLECTION

Wang Jin-ying, Chen Ke-jin

Xi’an Highway Institute, Xi’an

Received:1991-11-25 Online:1993-02-18 Published:1993-02-18

摘要/Abstract

摘要： In this paper, the differential equations of flexible circular plates with initial deflection are derived. The stability of motion is investigated in phase plane. The periodical solutions of nonlinear vibration for circular plates with initial deflection are obtained by use of Galerkin method and Lindstedt-Poincare perturbation method. The effect of initial deflection on the dynamic behavior of the flexible plates are also discussed.

关键词: flexible circular plate, initial deflection, nonlinear-vibration, perturbation method, trajectories

Abstract: In this paper, the differential equations of flexible circular plates with initial deflection are derived. The stability of motion is investigated in phase plane. The periodical solutions of nonlinear vibration for circular plates with initial deflection are obtained by use of Galerkin method and Lindstedt-Poincare perturbation method. The effect of initial deflection on the dynamic behavior of the flexible plates are also discussed.

Key words: flexible circular plate, initial deflection, nonlinear-vibration, perturbation method, trajectories

王晋莹;陈科进. VIBRATION PROBLEMS OF FLEXIBLE CIRCULAR PLATES WITH INITIAL DEFLECTION[J]. Applied Mathematics and Mechanics (English Edition), 1993, 14(2): 177-184.

Wang Jin-ying;Chen Ke-jin. VIBRATION PROBLEMS OF FLEXIBLE CIRCULAR PLATES WITH INITIAL DEFLECTION[J]. Applied Mathematics and Mechanics (English Edition), 1993, 14(2): 177-184.

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VIBRATION PROBLEMS OF FLEXIBLE CIRCULAR PLATES WITH INITIAL DEFLECTION

VIBRATION PROBLEMS OF FLEXIBLE CIRCULAR PLATES WITH INITIAL DEFLECTION

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