3D geometric constraint solving using the method of kinematic analysis

被引：0
|
作者：
Xia, Hongjian [1 ]
Wang, Boxing [1 ]
Chen, Liping [1 ]
Huang, Zhengdong [1 ]
机构：
[1] CAD Center, School of Mechanical Science and Engineering, Huazhong University of Science and Technology, Wuhan, Hubei 430074, China
来源：
International Journal of Advanced Manufacturing Technology | 2008年 / 35卷 / 7-8期
关键词：
In this paper; an approach based on kinematic method for solving 3D geometric assembly constraints is presented. The relative generalized coordinates and generalized recursive formulations used in kinematic analysis are utilized to reduce the size of constraint equations. Based on the cut-constraint method; this approach can be used to solve all kinds of configurations. In the case of an open-loop constraint system; the geometric constraints can be satisfied by sequentially determining the values of relative generalized coordinates. With respect to a closed-loop constraint system; the proposed approach converts it to a spanning tree structure by cutting constraints and introducing cut-constraint equations. Furthermore; a topological analysis method is also developed to obtain the spanning tree with the minimal number of cut-constraint equations; and the analytical Jacobian matrix of cut-constraint equations is derived to enhance computational efficiency. In the end; the proposed approach is demonstrated and validated using two examples of closed-loop geometric constraint system. © 2006 Springer-Verlag London Limited;
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页码：711 / 722
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