Abstract: For optimizing the structure design of TM electronic jacquard machine transmission shaft and minimizing the vibration of transmission shaft during the high speed rotates,the integrated transfer matrix method is suggested on the basis of transfer matrix method,applying integrated transfer matrix theory to analysis of the dynamic character of jacquard machine transmission shaft.Through analyzing the dynamic model of the transmission shaft,theoretical derivation and calculation of the critical speed and the vibrating model of high-speed electronic jacquard machine transmission shaft are performed,finding out the inherent natural frequencies and the relative main vibration model.The results show that the integrated transfer matrix is higher in computational accuracy while retaining such advantages of conventional transfer matrix as easy to program,small workload and high operating speed.The calculation method is useful to the design of high-speed jacquard machine transmission shaft and the analysis of other complex rotor system.