轴对称弹性体动力学问题的一种闭合形式的解

A Closcd Form of the Dynamic Fundamental Solution of Axisymmetric Elasticity

本文给出了一种关于轴对称弹性体动力学问题闭合形式的基本解．这种闭合解是利用级数展开的方法和椭圆积分的递推公式导出的．当频率减小到零时，这一动力学基本解就变成了静力学基本解．为确保计算效率，对基本解的计算过程作了仔细的安排．这种闭合解已在扭转问题的边界单元法中得到应用．

In this paper a closed form of the dynamic fundamental solution of ax-isymmetric elasticity is presented. The closed form is deduced by making use of the series expansion techniques and the recurrence formulae of elliptic integrals. When the frequency is reduced to zero , this dynamic fundamental solution degenerates to the staticfundamental solution. The calculation of the fundamental solution has been carefullyprogrammed to ensure efficiency. This closed solution has been adopted in a boundary el-ement scheme for torsional problems.