摘要
本文提出了一种适应于求解多层各向同性弹性静力学问題的一般的且简洁的处理方法——即基于笛卡尔坐标与柱坐标两组向量函数系的传播矩阵法,从而避免了此类问题研究中的复杂性。在两向量函数系下分别得到了在一般表载作用下介质内任意点处的位移及应力分量的解析表达式。文中给出的算例既证实了所列公式的正确性,又表明:在数字积分中结合改进的Pad(?)近似求和法后,本文所提出的方法是非常简单且易于实际应用的。
A general and considerably simple analysis, i.e. presented the propagator matrix method in two systems of vector functions is to solve the layered isotropic elastostatic problem. This approach avoids the compli-.cated nature of the problem. The analytical expressions of displacement and stress components at any point of the medium by general surface loads are obtained in these two systems. Numerical examples given verify thatthe present formulation is correct, and also show that when the modifiedPade approximant technique is used in the numerical integration the present method is particularly efficient and easy to apply in practice.
出处
《计算物理》
CSCD
北大核心
1989年第3期355-365,共11页
Chinese Journal of Computational Physics
