非均质地基弹性扁壳动力分析的非奇异边界元法

A Nonsingular Boundary Element Method for the Dynamic Analysis of Thin Elastic Shallow Shell on Nonhomogeneous Foundation

基于板弯曲和平面应力问题的基本解，本文给出了非均质文克勒地基弹性局壳自由振动和强迫振动的非奇异边界元法。该方法能分析任意边界形状和边界条件的扁壳，还可分析具有任意内部点支承的扁壳。

Based on the fundamental solutions to static plate bending and plane stress problems, a nonsingular Boundary Element Method is presented for the free and forced vibrations of thin elastic shallow shell on nonhomogeneous Winkler foundation. The method can be used to analyse shallow shell with arbitrary configuration and boundary conditions.It can also be utilized to solve shallow shell with arbitrary internal point supports.