Comprehensive modeling method for deformation errors of different types of rolling joints in motion systems and its appl

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DOI 10.1007/s12206-020-1027-1

Journal of Mechanical Science and Technology 34 (11) 2020 Original Article DOI 10.1007/s12206-020-1027-1 Keywords: · Comprehensive error modeling · High-precision machine tools · Joint deformation error · Motion systems · Nonlinear interfacial characteristics · Rolling joints

Comprehensive modeling method for deformation errors of different types of rolling joints in motion systems and its application in machine tools Cheng Zhang1,2, Jianrun Zhang2 and Xiaojuan Sun3 1

Correspondence to: Jianrun Zhang [email protected] Citation: Zhang, C., Zhang, J., Sun, X. (2020). Comprehensive modeling method for deformation errors of different types of rolling joints in motion systems and its application in machine tools. Journal of Mechanical Science and Technology 34 (11) (2020) 4695~4710. http://doi.org/10.1007/s12206-020-1027-1

Received August 22nd, 2019 Revised

April 30th, 2020

Accepted August 14th, 2020 † Recommended by Editor Hyung Wook Park

2

AVIC NEIAS, Nanjing, Jiangsu 211106, China, School of Mechanical Engineering, Southeast University, 3 Nanjing, Jiangsu 211189, China, School of Mechanical Engineering, Taiyuan University of Science and Technology, Taiyuan, Shanxi 030024, China

Abstract

This paper proposes a novel comprehensive modeling method for deformation errors of different types of rolling joints in machine tools to improving the analysis efficiency. This method comprehensively considers the deformation of three types of rolling joints, i.e., linear guideway, ball screw and bearing, firstly from the perspective of analytical modeling. Two comprehensive models for deformation errors of all rolling joints in two types of motion systems of machine tools are established respectively with the method. The nonlinear interfacial characteristics at rolling joints and the geometric and stiffness coupling characteristics are considered. In order to study characteristics of the synthetical deformation error of rolling joints, a synthetical error model for a five-axis machine tool is developed. Several results and optimizations of the joints are carried out. The proposed method in this paper can effectively avoid the tedious finite element modeling in the traditional analysis process and improve the efficiency.

1. Introduction

© The Korean Society of Mechanical Engineers and Springer-Verlag GmbH Germany, part of Springer Nature 2020

High-precision machine tools play an important role in the modern manufacturing industry considering high metal-removal rate, lower processing time, high productivity and less workpiece set-up time [1]. Machining accuracy is one of the most important parameters of machine tools, which affects the precision of workpieces. As the studies show, thermal errors, volumetric errors and processing force deformation errors are all major contributors affecting the accuracy of machine tools [2-6]. Many scholars devoted themselves to volumetric error modeling, identification and compensation. Chen et al. [7] established a volumetric error model with homogeneous tr