基于约束的装配体位置描述及求解

CONSTRAIN BASED METHOD FOR DESCRIBING AND INFERRING POSITION OF ASSEMBLIES

装配体设计是计算机辅助设计（ＣＡＤ）的一个重要组成部分，本文就装配体设计中装配体位置的描述及自动求解这两个关键问题进行了深入的探讨，提出了基于约束的装配体相互位置关系的描述方法及自动求解算法．同时本文首次引入奇异矩阵的方法，较好地解决了装配体位置的约束冗余、约束不足以及病态矩阵的问题．

Assembly design system is an important component of computer-aided design systems. This paper presents the mechanism and techniques to describe the relative positions of parts in anassembly and to automatic inference the accurate position from the description. The technique of singular value decomposition of a matrix is introduced to solve the problems of over-constraints, under- constrained condi- tion, ill conditioned matrix.