Abstract

A new matrix expression is put forward through analyzing metamorphic processes.It can describe arbitrary link that is attached to another in the process of link-decreasing,compact-final matrix can be achieved without row-column transformation and initial configuration link numbers are not changed.Based on this method,new matrix description about link-increasing or link unchanging in configuration changing is purposed.In view of planar single degree of freedom and closed chain structure synthesis,with new matrix expression and description and graph theory,a new method is obtained based on the metamorphic principle of metamorphic mechanism,and detail structure synthesizing steps are given.As an example,the synthesis method is demonstrated with the aid of planar closed kinematic chains with eight links and single degree of freedom.

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