边界元分析薄板自由振动问题的一个近似方法

AN APPROACH OF BOUNDARY ELEMENT ANALYSIS FOR FREE VIBRATION OF THIN PLATES

本文提出边界元法分析域内具有支承及集中质量的薄板自由振动问题的近似方法。该方法在利用基本解的基础上,将域内积分化为边界积分来处理,节省了工作量。文中计算实例结果表明,该方法的精度满足实际工程的要求。

An approach is presented to deal with the free vibration of thin plates with internal supports and the actions of concentrated masses. Basing on the fundamental solution, this method turns the internal integrals of the problem into boundary integrals, thus the amount of computational work is saved. Numerical examples are given which show that the present method gives result of good precision suitable for engineering applications.