Research On Dynamic Solution Method Of Double-Drive Machine Tool Feed System Based On Quantized State

Feed system is the core component of high-end CNC machine tools,which determines the machining rate and precision of the machine tools.Dynamic modeling is the basis of analyzing the dynamic characteristics of machine tool feed system.The existing research mainly focuses on the screw,and the model accuracy is low,and the factors that can be analyzed are limited.However,in order to expand the scope of analysis and research and improve the accuracy of the model,the degree of freedom and nonlinear factors that need to be considered will increase,and the requirements for analysis methods will be correspondingly improved.Traditional analysis methods are faced with nonlinear and rigid dynamic models,and the solution error is large and the efficiency is low.Quantized State System(QSS)is a numerical integration method based on event dispersion,which has more advantages than traditional algorithms in solving nonlinear systems by simulation.In this paper,the feed system of double-drive machine tool is taken as the research object,aiming at the shortcomings of the dynamic modeling and analysis methods of the feed system,which lays the foundation for the subsequent dynamic analysis and improvement of the dynamic response of the system.The main research contents of this paper are as follows:(1)Aiming at the analysis of the pseudo-oscillation phenomenon in the quantization state system(QSS)for solving the complex rigid problem,an implicit modified optimization algorithm(IMOA based-on QSS)is proposed.When dealing with the strong rigid numerical oscillation,the disturbance of self-variable and coupling variable is considered and the corresponding correction is made to improve the simulation accuracy and efficiency.The feasibility of the algorithm is verified by some classical examples.Compared with the simulation results of the traditional method and the quantization system algorithm group,the solution performance of IMOA algorithm is effectively improved.(2)Establish that dynamic model of the feed system of the eight-degree-of-freedom double-drive machine tool,establish an equivalent stiffness model and a generalized dynamic model by adopting the Lagrange method,taking into account factors such as lateral dam and normal damping of a guide rail sliding block joint part,axial damping of a lead screw nut joint part,friction of a double lead screw and the like in the dynamic model,and laying a foundation for subsequently analyzing the influence of nonlinear factors in different motion directions between a workbench and a system joint part on the dynamic characteristics of the feed system.(3)Based on the established dynamic model of double-drive feed system,the strong rigid problem with strong coupling interference is analyzed and solved,and the dynamic model is converted into the form of ordinary differential equation required for solution.The traditional numerical integration method,the QSS algorithm group and IMOA algorithm are used to simulate the established model.Through the comparative analysis of the results,the solution performance of IMOA algorithm applied to complex dynamic model is verified.Compare with that traditional numerical integration solver and the exist quantization state system algorithm group,the IMOA algorithm has obvious solving advantages,and helps to reduce the error generate by the analysis method in the research of dynamic characteristics.Finally,the influence of lateral and normal damping of the joint part of guide slide and axial damping of the joint part of lead screw and nut as well as the friction factor of lead screw on the vibration characteristics of the feed system is analyzed by using the result of IMOA algorithm,which provides an analysis method and idea for improving the dynamic response characteristics of the feed system.