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。
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.
出处
《应用数学和力学》
EI
CSCD
北大核心
2000年第2期192-200,共9页
Applied Mathematics and Mechanics
关键词
夹层圆板
均布载荷
大挠度
非线性振动
circular sandwich plate
uniformed load
nonlinear
amplitude frequency_load characteristic relation
