An Analysis Methodology for Stochastic Characteristic of Volumetric Error in Multiaxis CNC Machine Tool
Joint Authors
Cheng, Qiang
Wu, Can
Chang, Wenfen
Xuan, Dongsheng
Gu, Peihua
Source
Mathematical Problems in Engineering
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-12, 12 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-10-21
Country of Publication
Egypt
No. of Pages
12
Main Subjects
Abstract EN
Traditional approaches about error modeling and analysis of machine tool few consider the probability characteristics of the geometric error and volumetric error systematically.
However, the individual geometric error measured at different points is variational and stochastic, and therefore the resultant volumetric error is aslo stochastic and uncertain.
In order to address the stochastic characteristic of the volumetric error for multiaxis machine tool, a new probability analysis mathematical model of volumetric error is proposed in this paper.
According to multibody system theory, a mean value analysis model for volumetric error is established with consideration of geometric errors.
The probability characteristics of geometric errors are obtained by statistical analysis to the measured sample data.
Based on probability statistics and stochastic process theory, the variance analysis model of volumetric error is established in matrix, which can avoid the complex mathematics operations during the direct differential.
A four-axis horizontal machining center is selected as an illustration example.
The analysis results can reveal the stochastic characteristic of volumetric error and are also helpful to make full use of the best workspace to reduce the random uncertainty of the volumetric error and improve the machining accuracy.
American Psychological Association (APA)
Cheng, Qiang& Wu, Can& Gu, Peihua& Chang, Wenfen& Xuan, Dongsheng. 2013. An Analysis Methodology for Stochastic Characteristic of Volumetric Error in Multiaxis CNC Machine Tool. Mathematical Problems in Engineering،Vol. 2013, no. 2013, pp.1-12.
https://search.emarefa.net/detail/BIM-1032421
Modern Language Association (MLA)
Cheng, Qiang…[et al.]. An Analysis Methodology for Stochastic Characteristic of Volumetric Error in Multiaxis CNC Machine Tool. Mathematical Problems in Engineering No. 2013 (2013), pp.1-12.
https://search.emarefa.net/detail/BIM-1032421
American Medical Association (AMA)
Cheng, Qiang& Wu, Can& Gu, Peihua& Chang, Wenfen& Xuan, Dongsheng. An Analysis Methodology for Stochastic Characteristic of Volumetric Error in Multiaxis CNC Machine Tool. Mathematical Problems in Engineering. 2013. Vol. 2013, no. 2013, pp.1-12.
https://search.emarefa.net/detail/BIM-1032421
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1032421