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Numerical control machining tool heat error Bayes network compensation method

A Bayesian network and compensation method technology, applied in the field of Bayesian network compensation for thermal error of CNC machine tools, can solve problems such as operating condition uncertainty

Inactive Publication Date: 2009-05-20
ZHEJIANG UNIV
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Problems solved by technology

Due to the characteristics of thermal errors, such as time-varying, multi-factor, and working condition uncertainty, the modeling methods developed in recent years have certain limitations.

Method used

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  • Numerical control machining tool heat error Bayes network compensation method
  • Numerical control machining tool heat error Bayes network compensation method
  • Numerical control machining tool heat error Bayes network compensation method

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Embodiment Construction

[0036] The present invention will be further explained below in conjunction with the drawings and the implementation process.

[0037] The thermal error modeling method of the present invention is a reasoning method based on the principle of probability and combined with graph theory. It is implemented in the following steps (such as figure 1 Shown):

[0038] 1) Construct a priori Bayesian network.

[0039] The thermal error of the machine tool depends on the temperature change and is related to many factors such as the processing cycle, the use of coolant, and the surrounding environment. Take these factors together with the thermal error as a set of variables in the model. Use a directed acyclic graph to describe the relationship between variables. The nodes in the graph represent random variables, and the edges between nodes represent the direct dependencies between variables. Each node X i With probability distribution P(X i |π(X i )), the root node X is attached to its edge ...

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Abstract

The invention discloses a Bayesian network compensation method for thermal error of a numerical control machine tool, which comprises the following steps: (1) a Bayesian network thermal error prediction model is constructed according to measured sample data; and (2) the real-time compensation of the thermal error of the machine tool is realized according to the prediction result of the Bayesian network model. The compensation system of the invention has a simple structure and reliable application; and the adopted Bayesian network modeling method, on one hand, uses the language of a graph theory to intuitively express the causal dependency relation among various factors which produce the thermal error, on the other hand, analyzes and utilizes the inherent correlation among the factors according to the principle of probability theory to reduce the calculation complexity of inferential prediction, and has the characteristics of intuitive expression, high modeling accuracy and self-adaptation.

Description

Technical field [0001] The invention relates to a Bayesian network compensation method for thermal error of a numerical control machine tool. Background technique [0002] Thermal error control of CNC machine tools is one of the basic technologies for precision and ultra-precision machining. The main steps of machine tool thermal error compensation are: detection and analysis of error sources, establishment of a comprehensive mathematical model of error motion, identification of error elements, execution of error compensation and evaluation of error compensation effects. [0003] In thermal error compensation, the establishment of a thermal error model is a key step. The experimental modeling method is the most commonly used thermal error modeling method, that is, using the thermal error data measured by the experiment and the temperature of the machine tool and using the principle of least squares for fitting modeling. However, the thermal error of the machine tool largely depen...

Claims

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Application Information

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IPC IPC(8): G05B19/404
Inventor 姚鑫骅傅建中陈子辰
Owner ZHEJIANG UNIV
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