Vibration Problems of Flexible Circular Plates with Initial Deflection

Wang Jin-ying; Chen Ke-jin

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Article Navigation > Applied Mathematics and Mechanics > 1993 > 14(2): 165-171

Wang Jin-ying, Chen Ke-jin. Vibration Problems of Flexible Circular Plates with Initial Deflection[J]. Applied Mathematics and Mechanics, 1993, 14(2): 165-171.

Citation:

Wang Jin-ying, Chen Ke-jin. Vibration Problems of Flexible Circular Plates with Initial Deflection[J]. Applied Mathematics and Mechanics, 1993, 14(2): 165-171.

Citation:

Wang Jin-ying, Chen Ke-jin. Vibration Problems of Flexible Circular Plates with Initial Deflection[J]. Applied Mathematics and Mechanics, 1993, 14(2): 165-171.

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Vibration Problems of Flexible Circular Plates with Initial Deflection

Xi'an Highway Institute, Xi'an

Received Date: 1991-11-25
Publish Date: 1993-02-15

Abstract

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-Poincaré perturbation method.The effect of initial deflection on the dynamic behavior of the flexible plates are also discussed.
- flexible circular plate,
- initial deflection,
- nonlinear-vibration,
- perturbation method,
- trajectories

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References(5)

References

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