The Modeling Of Ballscrew Feed Drive Systems Based On A Hierarchic High-order Finite Element

High efficiency,low cost,precision drive technology of the ball screw is one of the most value-add and promising developing areas,it will bring great economic benefits and social value for the development of Chinese manufacturing industry in twenty-first century.However,how to accurately build the dynamic model of the ball screw drive system and significantly improve the efficiency of the system has become a hot and key issue for precision drive technology research.Based on the previous work,this paper studies the dynamic behavior of the ball screw drive system and its optimal design method which can provide a reference for improving the prediction accuracy of the high-order dynamic characteristics of the drive system.And this has important theoretical value and application in the engineering.According to the working characteristics of the actual ball screw drive system,on the purpose of significantly improving accuracy and reducing the computational cost,the hierarchical shape functions derived from the Legendre polynomial are introduced to the traditional hybrid finite element modeling method to construct the hierarchical hybrid finite element modeling of ball-screw drive system.Due to the comparative analysis of theoretical calculation and experiment,the validity and feasibility of the proposed method are proved.Considering that the ball screw drive system is a typical multi part assembly,using hierarchical hybrid finite element method,proves the impacts of assembly process from a single screw to workbench on system dynamic response.Which makes the design information of the key components such as the screw wire mother and the coupling into the dynamic equation of the ball screw drive system,so as to provide the theoretical analysis means for the dynamic design and prediction of the complex driving equipment.In order to reduce the coupling effect of dynamic vibration of the drive system,the optimal design parameters of the drive system parameters are constructed based on the distribution of the stiffness of the contact interface and aimed at the minimum deformation response of the contact interface.On this basis,the relationship between the inlet and outlet angle and screw deformation and vibration is determined and then the corresponding design criterion is established to improve the ability of the driving system to suppress the bending vibration effectively without increasing the diameter of the ball screw.