Kinematic analysis and simulation of a new type of differential micro-feed mechanism with friction

Abstract

This article presents a new micro-feed mechanism, whose main transmission component is the nut–rotary ball screw pair. The screw and nut are driven by two motors, and they rotate in the same direction, with their movements enabling micro-feeding. The main contribution of the micro-feed mechanism is to avoid the inevitable low-speed nonlinear creeping phenomenon caused by the inherent properties of traditional electromechanical servo system structure, thus realizing high precision micro-feed. In this study, the motion state of the working ball is analyzed using the principle of differential geometry, the friction at the contact points is calculated, the balance equation for force and moment is established, the influences of the screw and nut on the kinematic parameters of the ball at different velocities and the differences in the motion states of the ball in different drive modes are studied, and the mechanical efficiency of the dual-driven ball screw mechanism is calculated. The potential applications of the new micro-feed mechanism and the results of numerical analysis can be applied to advanced technology fields such as robotics, suspensions, powertrain, national defense, integrated electronics, optoelectronics, medicine, and genetic engineering, so that the new system can have a lower stable speed limit and achieve precise micro-feed control.

Micro feed characteristic analysis of a new crawler guide rail dual drive servo system

“…In the case of crawler guide rail dual drive, there is no nonlinear friction force between the table and the “crawler type” guide rail because the relative speed of the two is zero. The equations of motion for the crawler guide rail dual drive system are 14 :…”

“…Servo motor has the advantages of high precision, fast response, etc., for AC servo system PMSM after appropriate simplification the command signal through the position, velocity, and current feedback gain obtain the output torque. The current equation is given by 13 – 14 …”

“…There are many achievements in impact on the system caused by the nonlinear factors, 11 – 15 such as the stiffness of the transmission system, servo control parameters, and effects on the system of the friction. Liu 11 established a comprehensive mechanical model considering friction and clearance, and studied the influence of friction and clearance nonlinearity on the output of table under the condition of low speed feed.…”

A Novel Friction Identification Method Based on a Two-Axis Differential Micro-Feed System

“…The choice of the friction model depends on a variety of different physical characteristics and operational circumstances [15] because friction is complex and nonlinear [16]. To identify the parameters for the TDMS, the LuGre friction model [17] and feed-forward friction compensation [18] were used, but the LuGre model fails to effectively capture the nonlocal memory phenomenon [19]. In contrast to the experience-based friction model discussed above, the general Maxwell Sliding sliding [20] model was used from a microscopic perspective to explain the observed macroscopic friction behavior, describe the hysteresis above, the general Maxwell Sliding sliding [20] model was used from a microscopic perspective to explain the observed macroscopic friction behavior, describe the hysteresis curve using the Maxwell sliding model, and address the problems above.…”

Optimal operating condition of precision ball screws based on a transmission efficiency model

“…Wei and Lai 19 derived the transmission efficiency formula by calculating the theoretical driving torque, axial load, and angular speeds of the working ball, and this formula was verified by the experimental data. Yu et al 20 analyzed the motion state of the working ball using the principle of differential geometry, and the transmission efficiency of the ball screws was calculated. The results showed that the transmission efficiency displays an increasing trend at a low speed.…”