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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 is an important part of computer aided design (CAD). In this paper, the key issues of the description of the assembly location in the design of the assembly and the automatic solution are discussed in depth. Based on the constraints, Description of the relationship and automatic solution algorithm. At the same time, this paper introduces the singular matrix method for the first time, and solves the problem of constraint redundancy, insufficient constraint and ill-posed matrix of assembly location.