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research-article

Geometric error modeling and sensitivity analysis of single axis assembly in three-axis vertical machine center based on Jacobian-torsor model

[+] Author and Article Information
Zhengchun Du

School of Mechanical Engineering, Shanghai Jiao Tong University No.800 Dongchuan Road, Shanghai, 200240, China
zcdu@sjtu.edu.cn

Jian Wu

School of Mechanical Engineering, Shanghai Jiao Tong University No.800 Dongchuan Road, Shanghai, 200240, China
wujian19920000@sjtu.edu.cn

Jianguo Yang

School of Mechanical Engineering, Shanghai Jiao Tong University No.800 Dongchuan Road, Shanghai, 200240, China
jgyang@sjtu.edu.cn

1Corresponding author.

ASME doi:10.1115/1.4038170 History: Received January 30, 2017; Revised October 07, 2017

Abstract

The influence of component errors on the final error is a key point of error modeling of CNC machine tool. Nevertheless, the mechanism and the quantitatively relationship is not clear; the identification of this mechanism is highly relevant to precision design of CNC machine. In this study, the error modeling based on the Jacobian-torsor(JT) theory is applied to determine how the fundamental errors in mechanical parts influence and accumulate to the comprehensive error of single-axis assembly. Firstly, a brief introduction of the JT theory is provided. Next, the JT Model is applied to the error modeling of a single-axis assembly in a three-axis machine center. Furthermore, the comprehensive errors of the single-axis assembly are evaluated by Monte Carlo simulation based on the synthesized error model. The accuracy and efficiency of the JT Model are verified through a comparison between the simulation results and the measured data from a batch of similar vertical machine centers. Based on the JT Model, the application of quantitative sensitivity analysis of single-axis assembly is investigated, along with the analysis of key error sources to the synthetic error ranges of the single-axis assembly. This model is providing a comprehensive method to identify the key error source of the single axis assembly and has the potential to enhance the tolerance/error allocation of the single axis and the whole machine tool.

Copyright (c) 2017 by ASME
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