Method for thermal deformation error compensation of digital control gear hobbing machine

Abstract

The invention discloses a method for thermal deformation error compensation of a digital control gear hobbing machine, which comprises the following steps of: 1, adopting temperature and displacement sensors to detect variable values of a temperature and a thermal deformation displacement on line when the digital control gear hobbing machine is in the course of working; 2, using a fuzzy clustering analytic method to calculate linearly dependent coefficients of variables of the temperature and the displacement, performing classification and optimization on the variable of the temperature, and determining the displacement variable Xi for model building and optimized p temperature independent variables T1, T2, T3, ..., and Tp; 3, adopting a multiple linear regression-least square method to establish a mathematic model of thermal errors and temperature variables; and 4, realizing online real-time compensation of thermal deformation errors of the digital control gear hobbing machine by using a zero programming system. The method solves thermal deformation error problems of a processing gear of the digital control gear hobbing machine, and by performing the online real-time error compensation on the digital control gear hobbing machine, the method improves the gear processing quality, the accuracy and the efficiency, reduces the rejection rate, saves the cost and shortens the processing cycle.

Description

technical field [0001] The invention belongs to the technical field of the gear processing process of a numerically controlled gear hobbing machine, and in particular relates to a thermal deformation error compensation method of a numerically controlled gear hobbing machine. Background technique [0002] The measurement of temperature and thermal deformation displacement value during the cutting process of CNC gear hobbing machine and the accurate establishment of thermal deformation error compensation model are the key steps of thermal deformation error compensation of gear hobbing machine. Chinese patent application 200810039013.4 discloses a thermal error compensation of CNC machine tool The method of determining the position of the temperature measuring point only involves the use of the principle of information theory to determine the optimal temperature and thermal deformation value for modeling, but does not involve the mathematical modeling and compensation method of ...

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Problems solved by technology

[0002] The measurement of temperature and thermal deformation displacement value during the cutting process of CNC gear hobbing machine and the accurate establishment of thermal deformation error compensation model are the key steps of thermal deformation error compensation of gear hobbing machine. Chinese patent application 200810039013.4 discloses a thermal error compensation of CNC machine tool The method of determining the position of the temperature measuring point only involves the use of the principle of information theory to determine the optimal temperature and thermal deformation value for modeling, but does not involve the mathematical modeling and compensation method of the thermal error of the machine tool

Chinese patent application 200410003487.5 discloses a CNC machine tool error compensation method and its system. The system utilizes a PC platform, a real-time multi-tasking RT-Linux operating system, realizes a semi-closed loop with a servo motor, and realizes a full-closed loop with an induction synchronizer. The closed-loop control system of the position of the machine tool table is used to compensate the positioning error of the machine tool; however, in this compensation method, the positioning and trajectory tracking accuracy of the feed system of the CNC machine tool is not high, and the real-time compensation is not strong.

In addition, through the search of the full-text database of Chinese periodicals, in the relevant literature retrieved, it is mentioned that the finite element method, fuzzy control theory, successive regression analysis method and neural network method are used to establish the error compensation model of CNC machine tools. Among these modeling methods , the finite element method has high prediction accuracy when the temperature of the machine tool is relatively stable, but the prediction accuracy is relatively low in the study of the thermal dynamic error of the machine tool; Applicable, but not very practical for establishing an error compensation model; in modeling with successive regression analysis, when multiple commonality of independent variables occurs, the estimated value of the regression coefficient is not stable; the compensation effect of the neural network model is good, but for the input less sensitive

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