薄板结构动力学特性建模解析

ANALYSIS FOR DYNAMIC CHARACTERISTICS OF THIN ASSEMBLED PLATE STRUCTURE

运用边界元法研究薄板结构的动力学特性。从薄板自由振动的微分方程式出发,由相应的静态基本解建立薄板自由振动的边界控制方程,并依据边界上的约束条件,推导出薄板结构在边界和域内的动力学方程。为了避免求域内项的积分,将上述两个方程进行联立求解,快速、准确地得到薄板结构的频率方程表达式。数值计算和实验结果表明,该文方法具有良好的解析计算精度和较高的计算效率。

Dynamic characteristics of a thin assembled plate structure are analyzed by using a boundary element method (BEM). By virtue of differential equations for free vibration of thin plate, static fundamental solutions of a thin plate are adopted to establish governing boundary equations for free vibration. According to the constraint conditions on boundaries, dynamic characteristic equations of the thin assembled plate structure on the boundary and in the domain are deduced. In order to avoid the domain integral, the above two equations are simultaneously solved, and the corresponding expression of frequency equations are obtained rapidly and accurately. The comparison between numerical calculations and practical experiments shows that the established method has good precision and high efficiency.