具有初挠度的柔韧圆板的振动问题

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Vibration Problems of Flexible Circular Plates with Initial Deflection

摘要: 本文推导出具有初挠度柔韧圆板的振动方程,在相平面上讨论了运动稳定性.用Galerkin法和Lindstedt-Poincaré摄动法求得具有初挠度圆板非线性振动的周期解,讨论了初挠度对柔韧圆板的动力特性的影响.
- 柔韧圆板 /
- 初挠度 /
- 非线性振动 /
- 摄动法 /
- 轨线图
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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