Abstract: In order to study the lateral vibration characteristics of the ball screw feed system, the lateral vibration dynamical model of the system was established by using the assumed modal method and the Lagrangian energy method. The frequency equation of the lateral vibration of the screw was deduced by using the boundary conditions of the screw and the assumed modal function was solved. The proposed mathematical model was compared with the finite element method to verify the correctness and accuracy range of the model, and the characteristics of the natural frequency and vibration mode of the system with the three kinds of support modes, including elastic support at both ends, fixed-simple support, and fixed support at both ends, were analyzed. The results show that under elastic support, if the boundary conditions are simplified to the fixed support, it will result in an overestimation of the frequency, and the higher the order, the larger the difference between the two; under the three types of support, the node position and the number of nodes of the lateral vibration mode of the screw will vary with the table position. The results provide practical application value for understanding and improving the lateral vibration of the ball screw feed system.
Keywords: ball screw; lateral vibration; support mode; elastic support; assumed modal function
合肥工业大学学报自科版