A modeling method and testing system for machine tool thermal error based on golden section and cumulative regression

Abstract

The invention discloses a machine tool thermal error test point optimizing and modeling method. The method includes the following steps that (1) thermosensitivity analysis is performed on a spindle, and quantitative analysis is preliminarily performed in combination with the actual size of the spindle; (2) cut points are arranged in a thermosensitive area according to the golden section method, thermal error synchronous tests are performed, and the optimum thermosensitive area is determined with the relevancy between thermal deformation at different temperatures; (3) points are evenly distributed in the thermosensitive area for tests, and sample data are superposed correspondingly according to a certain superposition rule, cumulative summation is performed, a regression equation is established, and parameters of a regression model are estimated. Through the method, the optimum point distribution area can be found fast and conveniently, and the problems that traditional point distribution according to experience is redundant in data, low in reliability and the like are solved; a cumulative regression algorithm is adopted for modeling, error items can be not directly processed, and thus the method has the advantages of being simple, visualized, convenient for a computer to implement and the like and has higher efficiency and precision than the least square method.

Description

technical field [0001] The invention belongs to the application field of error measurement and modeling of numerical control machine tools, and in particular relates to a method for optimizing the distribution of thermal error test points of a machine tool based on a golden section method and a thermal error modeling method based on a cumulative regression algorithm. Background technique [0002] Today, with the rapid development of modern manufacturing technology, the problem of thermal deformation of machine tools has become increasingly serious. A large amount of data shows that the errors that affect the machining accuracy of machine tools are no longer the traditional geometric accuracy errors such as straightness and verticality of the guide rails, but the thermal deformation errors caused by the heating of the high-speed spindle area and the guide rail area, accounting for about 40% of the total manufacturing error. -70%, so modeling compensation for thermal errors of...

AI Technical Summary

Problems solved by technology

[0004] In order to overcome the shortcomings of the above-mentioned existing methods, the present invention proposes a thermal error modeling method of machine tools based on golden section and cumulative regression, which is easy to apply and fast in point layout , Easy modeling, high stability, solves the problems of data redundancy and low reliability in traditional experience layout

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