摘要
本文提出了一个新的坐标变换公式,通过这种坐标变换,可将任一复杂形状的物体映射成圆柱形物体。文中利用这种坐标变换,将半解析边界元法用于分析应力波对复杂截面形状地下孔洞的三维散射。大量计算表明这种方法是十分有效的。这种坐标变换方法同样可适用于半解析有限元法,加权残差法,解析法等等,它为半解析数值方法解决复杂形状工程问题提供了一个有力的工具。
In this paper, a new coordinate transformation function is presented in order to extend the application of the semi-analytical boundary element method to analyze three dimensional cavity of arbitrary shaped section. A three-dimensional cavity with arbitrary shaped section in an elastic medium can be mapped approximately in a cylindrical cavity with the help of the coordinate transformation function. The coordinate transformation method as compared with the other methods has many advantages. It requires only the coordinates of some boundary nodes of the mapped cavity. The number of node coordinate of the boundary can be increased, in order to improve the coordinate transformation accuracy. The availability of this method for analyses of three-dimensional cavity has been proved by the research results.
出处
《同济大学学报（自然科学版）》
EI
CAS
CSCD
1990年第2期139-148,共10页
Journal of Tongji University:Natural Science
关键词
瞬态
应力波
截面
孔洞
散射
地下
Transient wave
Semi-analytical boundary element method
Coordinate transformation
