摘要
本文从柱坐标系弹性力学基本方程出发,将位移场和应力场在径向进行Hankel变换,利用常微分方程求解原理,直接得出在轴对称荷载作用下横观各向同性半无限弹性空间的位移场,利用此结果推导出单层元的刚度矩阵。
In the paper, basing upon the basic elastic equations in cylindrical system and using Han-kel transform for the displacement field and stress field in the radial direction, by means of the method for solving differential equations, the displacement fields and the stiffness matrix for axisymmetrical problems in transversely isotropic multilayered elastic half space are obtained directly from the equilibrium equations.
出处
《上海力学》
CSCD
1999年第1期64-69,共6页
Chinese Quarterly Mechanics
基金
国家自然科学基金(批准号:59778033)
关键词
横观各向同性
轴对称
弹性半空间
受力分析
tranversely isotropic material, Hankel transform, stiffness matrix.