计算力学中的静力衰减  

The Theory of Static Decay in Computational Mechanics

作　　者：武建勋[1] 

机构地区：[1]中国矿业大学建筑系

出　　处：《应用数学和力学》1991年第4期321-330,共10页Applied Mathematics and Mechanics

摘　　要：本文在计算力学范围内证明了,平衡力系的影响,由近及远按矩阵连分式的规律衰减.该衰减往往不慢于,但并非总是不慢于指数衰减或幂次衰减.本文结果可用于估计某些简化假定在计算中引入的误差.In this paper, a new mathematical form, matrix continued fraction (MCF) is introduced to describe the decay of effects of an equilibrant system of forces acting on a sphere of an elastic body. By this way, the famous Saint-Venant's principle is proved often but not always valid in computational mechanics.

关 键 词：计算力学 静少衰减 矩阵连分式 

分 类 号：O3[理学—力学]