摘要
基于均布载荷作用下夹层圆板大幅度振动的基本方程和四种边界条件,将动挠度设为时间和空间函数的分离形式,利用空间模态假设和变分法,得到用挠度函数表示的应力和转角的表达式,再利用伽辽金法推导出时间模态的控制方程。在此基础上,讨论了初挠度以及夹层板剪切参数对系统振动特性的影响。
Based on the fundamental equation and four kinds of boundary conditions of large-amplitude vibration of circular sandwich plate under uniform load, separate variables of time and space are assumed in solving for the dynamical deflection, and the stress and rotation angle in the forms of deflection function are formulated by the hypothesis of the space mode and the variational method. The control equation of time mode is also obtained by Galerkin method. Finally, the effects of initial deflection and shear parameter on the vibration characteristic are investigated.
出处
《工程力学》
EI
CSCD
北大核心
2008年第4期39-44,49,共7页
Engineering Mechanics
关键词
夹层圆板
非线性振动
静载荷
时间模态
伽辽金法
circular sandwich plate
nonlinear vibration
static load
time mode
Galerkin method
