Abstract：A group of unique operation rules about the quadratic-form matrix with vector elements has been prevented in the appendix of this paper for the first time. Then, based on the unified models of velocity and acceleration of mechanisms, a sets of unified models of influence coefficient which are suitable for any mechanisms has been obtained by combining the operation rules with the matrix method. The algorithms of calculating the coefficients are developed and the physic meaning of the coefficients is successfully explained. The models are expressed in concise and standard formula that can be constructed and calculated by program automatically and efficiently. The models provide a solid base for constructing the unified models of dynamic analysis.
1 Paul B. Kinematics and Dnamics of Planar Mechinery. USA, Prentice-Hall,1979 2 Benedict C E, Tesar D. Model Formulation of Complex Mechanisms with Multiple Input: Part I-geometry. ASME, J Mech Des, 1978,100: 747-754 3 Benedict C E, Tesar D. Model Formulation of Complex Mechanisms with Multiple Input: Part II-the Dynamic Model. ASME J Mech Des, 1978,100: 755-764. 4 Wang H B, Huang Z. Kinematic Inflence Coefficient Method of Kinematic and Dyn amic Analysis. MMT, 1990,25(2): 167-173 5 黄真.空间机构学. 北京 机械工业出版社 1991 6 刘延柱.多刚体动力学. 北京 高等教育出版社 1989 7 宗志坚.机构速度和加速度统一模型的研究.西安 机械科学与技术 1999 已投 8 宗志坚.连杆机构运动学统一建模及通用系统设计.西北工业大学学报 1996.4
