A new method to mechanism kinematic chain isomorphism identification

A new method based on eigenvectors and eigenvalues is developed in this paper to identify isomorphism of mechanics kinematic chain. Kinematic chains are firstly represented by adjacent matrices. By comparing the eigenvalues and corresponding eigenvectors of adjacent matrices, the isomorphism of mechanism kinematics chain can easily be identified. The relationships in the mechanisms can also be obtained. A proof on this method is given in this paper. Some examples are provided to demonstrate the effectiveness of this method.