No Clearance Precision Ball Transmission Elastic Rotation Angle Parameter And Dynamic Steady-state Response Analysis

The non-clearance precision ball transmission is a new type of cycloid planetary transmission mechanism.In order to ensure the characteristic of no backlash,the mechanism can eliminate automatically the clearance caused by the friction and the wear and the thermal expansion interference generated by the temperature rise on the meshing pair in real time.The combination planetary disk,which is the core part of the non-clearance precision ball transmission,is designed in this paper.The motion simulation of the transmission and the static analysis are conducted,and the elastic deformation of meshing pair is analyzed by Hertzian contact theory,and the dynamic characteristic of the mechanism is researched and the steady-state response of the mechanism is solved.According to the structure and transmission principle of non-clearance precision ball transmission,the combination planetary disk is designed,which is affected the drive performance;the specific design steps of elastic element is proposed;the structural parameters is determined by software analysis;the simulation analysis of the mechanism is conducted by using ADAMS and Pro/E for verifying the performance of the combination planetary dish.The Workbench is applied to analyze the static property of the mechanism in order to understand the stress distribution and strain on the meshing pair in the mechanism.The contact deformations of the reducing mechanism,the combination planetary disk and the constant speed mechanism are analyzed based on Hertzian contact theory.According to the principle of torque balance,the expressions of the elastic angles of the meshing pairs are obtained.The change curve of the elastic angle of each meshing pair is solved by using MATLAB,and the effects of the structural parameters on the elastic angle of each meshing pair are analyzed.In order to gain insight into the dynamic performance of the transmission mechanism.Firstly,the translation-torsional vibration model of the transmission mechanism is established.Secondly,through the relative displacement relationship among the components,the system dynamic equation is established according to Newton's second law.Thirdly,the linear torsional stiffness of the mechanism is obtained according to the elastic angle of the meshing pair of the mechanism,the system dynamic equation is solved according to the relationship between the torsional stiffness and the meshing stiffness.Lastly,the steady state response of the mechanism is obtained by using Runge Kutta method.