Novel fluid field analysis method for ultra-precision machining based on christopherson iteration

Yang Hang; Ma Dengqiu; Zhang Qiang; Liu Xiaoyong; Fan Wei; Zhang Yunfei; Huang Wen; He Jianguo

doi:10.11884/HPLPB201931.180373

Volume 31 Issue 6

Jul. 2019

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Yang Hang, Ma Dengqiu, Zhang Qiang, et al. Novel fluid field analysis method for ultra-precision machining based on christopherson iteration[J]. High Power Laser and Particle Beams, 2019, 31: 062002. doi: 10.11884/HPLPB201931.180373

Citation:

Yang Hang, Ma Dengqiu, Zhang Qiang, et al. Novel fluid field analysis method for ultra-precision machining based on christopherson iteration[J]. High Power Laser and Particle Beams, 2019, 31: 062002. doi: 10.11884/HPLPB201931.180373

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Novel fluid field analysis method for ultra-precision machining based on christopherson iteration

doi: 10.11884/HPLPB201931.180373

Yang Hang^{1, 2
,},
Ma Dengqiu¹,
Zhang Qiang¹,
Liu Xiaoyong¹,
Fan Wei^{3, 4},
Zhang Yunfei³,
Huang Wen^{3, 4},
He Jianguo³

1.
Dept. of Engineering, Zunyi Normal College, Zunyi 563006, China
2.
Department of Intelligent Technology, National University of Defense Technology, Changsha 410073, China
3.
Institute of Mechanical Manufacturing Technology, CAEP, Mianyang 621900, China
4.
Key Laboratory of Ultra-precision Machining Technology, CAEP, Chengdu 610200, China

Received Date: 2018-12-20
Rev Recd Date: 2019-02-21
Publish Date: 2019-07-15

Abstract

Abstract

With the development of ultra-precision machining technology, complex fluid is increasingly utilized. The analysis of ultra-precision machining fluid field is characterized by complex geometry, diverse constitutive equation and free boundary flow, which results in unsatisfactory analysis if adopting traditional numerical method. Based on general characteristic of fluid field, a robust and widely adaptable fluid analysis method is proposed in this paper by applying D. G. Christopherson's super-relaxation iterative method for nonnegative second order partial differential systems to ultra-precision machining fluid field analysis. Besides, taking magnetorheological finishing as an example, the numerical calculation of pressure field is conducted for the polishing area and it is revealed that the calculated pressure distribution has reasonable morphology and it extends from positive x axis to negative x axis, which agrees with the experiment results by Zheng Ligong et al. Moreover, the in-situ experimental measurement of normal pressure by Kistler sensor is conducted for immersion depth ranging over 0.1 to 0.3 mm, it is demonstrated that the relative errors of calculations against experimental results are all less than 20%, indicating that the proposed method is valid and accurate.
- ultra-precision machining,
- fluid field analysis,
- Christopherson iteration,
- magnetorheological finishing,
- super-relaxation iterative method

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References(23)

References

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