均布载荷作用下夹层圆板的非线性振动

Nonlinear Vibration of Circular Sandwich Plate Under the Uniformed Load

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

摘要: 给出了均布载荷作用下夹层圆板的大幅度振动方程.按假设的时间模态导出了该问题的非线性耦合的代数和微分特征方程组,并利用修正迭代法求出了该方程组的近似解析解,得到了周边固定夹层圆板振动的幅频-载荷特征关系.讨论了载荷对非线性振动性态的影响.
- 夹层圆板 /
- 均布载荷 /
- 非线性 /
- 幅频-载荷特征关系
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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