Research on the application of multiplication dimension reduction method in global sensitivity analysis of CNC machine tools
Source abstract
Abstract
Three-axis computer numerical control (CNC) milling machines have a wide range of application in practical processing. The error transfer principle of machine tools is an important factor to improve the precision of machine tools. Based on multibody system theory and homogeneous transformation matrix theory, a geometrical error model of three-axis CNC milling machines is proposed in this paper. In addition, the global sensitivity analysis of machine tool errors was carried out to identify important errors. The analysis model has two layers of higher dimensional integration; hence, in the aim of solving this issue, a multiplication dimension reduction method was used in this paper. By this means, a one-dimensional integration model was obtained, and sensitivity analysis of machine tool geometric errors was realized. The present work provides a good theoretical basis for the optimization design and error compensation of machine tools.
Source: crossref · Quality: baseline
Research context
OpenAlex topics: Advanced Measurement and Metrology Techniques · Advanced Numerical Analysis Techniques · Advanced machining processes and optimization
SciVX discovery tags are terminology-based. OpenAlex topics are source-provided classifications.
Affiliations
Shandong Transport Vocational College , Weifang, Shandong 261206, China
Funding
Ministry of Transport of the People’s Republic of China
References (17)
Show source-provided references
1. Integrated geometric error modeling, identification and compensation of CNC machine tools10.1016/j.ijmachtools.2011.08.011 ↗
2. Simulation of thermal behavior of a CNC machine tool spindle10.1016/j.ijmachtools.2006.06.018 ↗
3. Modeling and control for a Gough-Stewart platform CNC machine10.1002/rob.20039 ↗
4. Study of machining accuracy in ultrasonic elliptical vibration cutting10.1016/j.ijmachtools.2004.04.014 ↗
5. Machining accuracy enhancement by compensating for volumetric errors of a machine tool and on-machine measurement10.1016/j.jmatprotec.2004.12.014 ↗
6. Research on machining accuracy allowance design of the damping holes in an adjustable linear oil damper
7. An analytical quadratic model for the geometric error of a machine tool10.1016/0278-6125(86)90067-1 ↗
8. A methodology for systematic geometric error compensation in five-axis machine tools10.1007/s00170-010-2848-3 ↗
9. Derivation of machine tool error models and error compensation procedure for three axes vertical machining center using rigid body kinematics10.1016/s0890-6955(99)00105-4 ↗
10. An effective approximation for variance-based global sensitivity analysis10.1016/j.ress.2013.07.010 ↗
11. Identification and measurement of geometric errors for a five-axis machine tool with a tilting head using a double ball-bar10.1007/s12541-011-0044-5 ↗
12. Theory and simulation for the identification of the link geometric errors for a five-axis machine tool using a telescoping magnetic ball-bar10.1080/00207540210164459 ↗
13. Modelling geometric and thermal errors in a five-axis CNC machine tool10.1016/0890-6955(94)00048-o ↗
14. A measurement system based on capacitance sensors for geometric errors of a miniaturized machine tool
15. Configuration analysis of five-axis machine tools using a generic kinematic model10.1016/j.ijmachtools.2004.03.009 ↗
16. A generic kinematic model for three main types of five-axis machine tools
17. Building 3D geometric and kinematic models of five-axis machine-tools for manufacturing prosthetic devices10.4028/www.scientific.net/amm.809-810.1004 ↗