摘要
本文首先给出了均布载荷作用下柔韧圆板的大幅度振动方程，按文中给出的时间模态假设导出了该问题的非线性耦合的代数和微分特征方程组，利用修正迭代法求出了该方程组的近似解析解，得到了柔韧圆板振动的幅频——载荷特征关系，讨论了静载荷对其振动性态的影响。
In this paper ,the differential equations of flexible circular plates under static load are derived,and a set of nonlinearly coupled algebraic and differential eigenvalue equations of the problem are for-mulated following an assumed time-mode approach suggestd,Analytic solutions are presented and arelation for amplitude frequency-load of the plates is derived by modified iteration method. The effectsof static load on vibrations of plates are investigated.
出处
《应用力学学报》
CAS
CSCD
北大核心
1994年第4期43-50,共8页
Chinese Journal of Applied Mechanics
关键词
柔韧圆板
均布载荷
非线性
振动
flexible circular plate,uniformed load,nonlinear,vibration,amplitude frequency-load characteristic relation.
