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	Research on Tooth Profile Error of Non-circular Gears Based on Complex Surface Theory
	Liu, Yongping
	2020
关键词	Gear teeth Interpolation Linear transformations Metadata Rational functions Co-ordinate transformation Error evaluation function Euclidean transformations Match Non-circular gears Non-uniform rational B-splines Tooth profile errors Tooth surface
英文摘要	In view of the complex shape and structure of non-circular gears, it is difficult to measure the machining errors of non-circular gears, and the complex surface theory is proposed to measure the errors. Firstly, the Euclidean transformation matrix is used to establish the error evaluation function, and the scanner is used to digitally scan the non-circular gears, collect the coordinates of the data points on the tooth surface. Then, the non-uniform rational B-spline function is used to accurately describe the tooth surface and reconstruct the tooth surface. Finally, the theoretical data are matched with the reconstructed tooth surface by coordinate transformation to calculate the tooth surface error. The feasibility of the proposed algorithm is proved by a calculation example, which provides a reference for further accurate detection of the non-circular gear tooth surface error. © Springer Nature Singapore Pte Ltd. 2020.
语种	英语
页码	447-455
出处	Mechanisms and Machine Science
DOI标识	10.1007/978-981-32-9941-2_36
卷号	77
出版者	Springer Netherlands
内容类型	其他
源URL	[http://ir.lut.edu.cn/handle/2XXMBERH/118265]
专题	机电工程学院
作者单位	School of Mechanical and Electronical Engineering, Lanzhou University of Technology, Lanzhou; 730050, China
推荐引用方式 GB/T 7714	Liu, Yongping. Research on Tooth Profile Error of Non-circular Gears Based on Complex Surface Theory. 2020-01-01.

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