A method of distinguishing motifs of moving chain elements is proposed to analyze the constitutive elements of kinematic chains with multiple joints,and study isomorphism identification of mechanical synthesis and optimization which can effectively describe information of multiple joints and components in the kinematic chain. In fact,there is the same train of thought for simple joints and multiple joints on value added matrix. Compared with traditional vertex adjacency matrix and transformation adjacency matrix, the value-added matrix has the characteristics of more information,convenience an...