A new method to analyze three-dimensional non-repetitive run-out (3D-NRRO) of angular contact ball bearings

Zhaohui Yang; Jun Hong; Jinhua Zhang; Micheal Yu Wang; Baotong Li

doi:10.1115/imece2011-65848

A new method to analyze three-dimensional non-repetitive run-out (3D-NRRO) of angular contact ball bearings

Zhaohui Yang^*, Jun Hong, Jinhua Zhang, Micheal Yu Wang, Baotong Li

^*Corresponding author for this work

Research output: Chapter in Book/Conference Proceeding/Report › Conference Paper published in a book › peer-review

7 Citations (Scopus)

Abstract

As ultra-precision index of high-precision ball bearings, the value of three-dimensional non-repetitive run-out (3D-NRRO) directly influences the rotation accuracy in complex mechanical system. Reducing 3D-NRRO contributes to improve the quality of manufacturing in machining tools. This paper develops five-freedom model to analyze the 3D-NRRO of an angular contact ball bearing caused by geometrical errors of the rings raceways and the balls. In the model, the variation of contact angle caused by centrifugal force of balls is taken into consideration, and the geometrical errors of rings raceway and balls are described by Fourier series. Meanwhile, based on Hertzian contact theory and the solution method of dimensional chains, the 3D-NRRO analytical program has been developed, the value of 3D-NRRO analysis is shown. From the results, the relationship between the 3D-NRRO and the geometrical errors of rings raceway and balls are analyzed quantitatively. Findings of this paper provide theoretical supports to reduce or control the 3D-NRRO by optimizing manufacturing process of bearing components.

Original language	English
Title of host publication	Design and Manufacturing
Publisher	American Society of Mechanical Engineers (ASME)
Pages	147-155
Number of pages	9
ISBN (Print)	9780791854891
DOIs	https://doi.org/10.1115/imece2011-65848
Publication status	Published - 2011
Externally published	Yes
Event	ASME 2011 International Mechanical Engineering Congress and Exposition, IMECE 2011 - Denver, CO, United States Duration: 11 Nov 2011 → 17 Nov 2011

Publication series

Name	ASME 2011 International Mechanical Engineering Congress and Exposition, IMECE 2011
Volume	3

Conference

Conference	ASME 2011 International Mechanical Engineering Congress and Exposition, IMECE 2011
Country/Territory	United States
City	Denver, CO
Period	11/11/11 → 17/11/11

UN SDGs

This output contributes to the following UN Sustainable Development Goals (SDGs)

SDG 9 Industry, Innovation, and Infrastructure

Keywords

3D-NRRO
Angular contact ball bearings
Dimensional chains
Five-freedom
Geometrical errors

Access to Document

10.1115/imece2011-65848

Cite this

Yang, Z., Hong, J., Zhang, J., Wang, M. Y., & Li, B. (2011). A new method to analyze three-dimensional non-repetitive run-out (3D-NRRO) of angular contact ball bearings. In Design and Manufacturing (pp. 147-155). (ASME 2011 International Mechanical Engineering Congress and Exposition, IMECE 2011; Vol. 3). American Society of Mechanical Engineers (ASME). https://doi.org/10.1115/imece2011-65848

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title = "A new method to analyze three-dimensional non-repetitive run-out (3D-NRRO) of angular contact ball bearings",

abstract = "As ultra-precision index of high-precision ball bearings, the value of three-dimensional non-repetitive run-out (3D-NRRO) directly influences the rotation accuracy in complex mechanical system. Reducing 3D-NRRO contributes to improve the quality of manufacturing in machining tools. This paper develops five-freedom model to analyze the 3D-NRRO of an angular contact ball bearing caused by geometrical errors of the rings raceways and the balls. In the model, the variation of contact angle caused by centrifugal force of balls is taken into consideration, and the geometrical errors of rings raceway and balls are described by Fourier series. Meanwhile, based on Hertzian contact theory and the solution method of dimensional chains, the 3D-NRRO analytical program has been developed, the value of 3D-NRRO analysis is shown. From the results, the relationship between the 3D-NRRO and the geometrical errors of rings raceway and balls are analyzed quantitatively. Findings of this paper provide theoretical supports to reduce or control the 3D-NRRO by optimizing manufacturing process of bearing components.",

keywords = "3D-NRRO, Angular contact ball bearings, Dimensional chains, Five-freedom, Geometrical errors",

author = "Zhaohui Yang and Jun Hong and Jinhua Zhang and Wang, \{Micheal Yu\} and Baotong Li",

year = "2011",

doi = "10.1115/imece2011-65848",

language = "English",

isbn = "9780791854891",

series = "ASME 2011 International Mechanical Engineering Congress and Exposition, IMECE 2011",

publisher = "American Society of Mechanical Engineers (ASME)",

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note = "ASME 2011 International Mechanical Engineering Congress and Exposition, IMECE 2011 ; Conference date: 11-11-2011 Through 17-11-2011",

}

Yang, Z, Hong, J, Zhang, J, Wang, MY & Li, B 2011, A new method to analyze three-dimensional non-repetitive run-out (3D-NRRO) of angular contact ball bearings. in Design and Manufacturing. ASME 2011 International Mechanical Engineering Congress and Exposition, IMECE 2011, vol. 3, American Society of Mechanical Engineers (ASME), pp. 147-155, ASME 2011 International Mechanical Engineering Congress and Exposition, IMECE 2011, Denver, CO, United States, 11/11/11. https://doi.org/10.1115/imece2011-65848

A new method to analyze three-dimensional non-repetitive run-out (3D-NRRO) of angular contact ball bearings. / Yang, Zhaohui; Hong, Jun; Zhang, Jinhua et al.
Design and Manufacturing. American Society of Mechanical Engineers (ASME), 2011. p. 147-155 (ASME 2011 International Mechanical Engineering Congress and Exposition, IMECE 2011; Vol. 3).

Research output: Chapter in Book/Conference Proceeding/Report › Conference Paper published in a book › peer-review

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AU - Zhang, Jinhua

AU - Wang, Micheal Yu

AU - Li, Baotong

PY - 2011

Y1 - 2011

N2 - As ultra-precision index of high-precision ball bearings, the value of three-dimensional non-repetitive run-out (3D-NRRO) directly influences the rotation accuracy in complex mechanical system. Reducing 3D-NRRO contributes to improve the quality of manufacturing in machining tools. This paper develops five-freedom model to analyze the 3D-NRRO of an angular contact ball bearing caused by geometrical errors of the rings raceways and the balls. In the model, the variation of contact angle caused by centrifugal force of balls is taken into consideration, and the geometrical errors of rings raceway and balls are described by Fourier series. Meanwhile, based on Hertzian contact theory and the solution method of dimensional chains, the 3D-NRRO analytical program has been developed, the value of 3D-NRRO analysis is shown. From the results, the relationship between the 3D-NRRO and the geometrical errors of rings raceway and balls are analyzed quantitatively. Findings of this paper provide theoretical supports to reduce or control the 3D-NRRO by optimizing manufacturing process of bearing components.

AB - As ultra-precision index of high-precision ball bearings, the value of three-dimensional non-repetitive run-out (3D-NRRO) directly influences the rotation accuracy in complex mechanical system. Reducing 3D-NRRO contributes to improve the quality of manufacturing in machining tools. This paper develops five-freedom model to analyze the 3D-NRRO of an angular contact ball bearing caused by geometrical errors of the rings raceways and the balls. In the model, the variation of contact angle caused by centrifugal force of balls is taken into consideration, and the geometrical errors of rings raceway and balls are described by Fourier series. Meanwhile, based on Hertzian contact theory and the solution method of dimensional chains, the 3D-NRRO analytical program has been developed, the value of 3D-NRRO analysis is shown. From the results, the relationship between the 3D-NRRO and the geometrical errors of rings raceway and balls are analyzed quantitatively. Findings of this paper provide theoretical supports to reduce or control the 3D-NRRO by optimizing manufacturing process of bearing components.

KW - 3D-NRRO

KW - Angular contact ball bearings

KW - Dimensional chains

KW - Five-freedom

KW - Geometrical errors

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BT - Design and Manufacturing

PB - American Society of Mechanical Engineers (ASME)

T2 - ASME 2011 International Mechanical Engineering Congress and Exposition, IMECE 2011

Y2 - 11 November 2011 through 17 November 2011

ER -

A new method to analyze three-dimensional non-repetitive run-out (3D-NRRO) of angular contact ball bearings

Abstract

Publication series

Conference

UN SDGs

Keywords

Access to Document

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