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Research Papers: Applications

Wear Prediction of a Mechanism With Joint Clearance Involving Aleatory and Epistemic Uncertainty

[+] Author and Article Information
Dongyang Sun

State Key Laboratory of Mechanics
and Control of Mechanical Structures,
Nanjing University of Aeronautics and Astronautics,
Nanjing 210016, China
e-mail: dongyangsunnuaa@gmail.com

Guoping Chen

State Key Laboratory of Mechanics
and Control of Mechanical Structures,
Nanjing University of Aeronautics and Astronautics,
Nanjing 210016, China
e-mail: gpchen@nuaa.edu.cn

Tiecheng Wang

State Key Laboratory of Mechanics
and Control of Mechanical Structures,
Nanjing University of Aeronautics and Astronautics,
Nanjing 210016, China
e-mail: shencheng2020@gmail.com

Rujie Sun

State Key Laboratory of Mechanics and Control
of Mechanical Structures,
Nanjing University of Aeronautics and Astronautics,
Nanjing 210016, China
e-mail: sunrujie@nuaa.edu.cn

Contributed by the Tribology Division of ASME for publication in the JOURNAL OF TRIBOLOGY. Manuscript received September 6, 2013; final manuscript received April 28, 2014; published online May 22, 2014. Assoc. Editor: Robert L. Jackson.

J. Tribol 136(4), 041101 (May 22, 2014) (8 pages) Paper No: TRIB-13-1185; doi: 10.1115/1.4027607 History: Received September 06, 2013; Revised April 28, 2014

In this paper, a dynamic wear model to predict wear volume in a mechanism, involving aleatory and epistemic uncertainty, is established. In this case, harmonic drives are applied to alleviate the impact of clearance for wear of the mechanism. The contact model of a mechanism with clearance that is subjected to harmonic drive is established, with the nonlinear spring-damp model and flexibility of harmonic gear considered. Especially, a slider-crank mechanism with clearance is simulated. The result shows that the cushioning effect of collisions for clearance with application of harmonic drive is superior to that through the flexibility of mechanical parts. Following confidence region method (CRM) for quantification of aleatory and epistemic uncertainty is proposed to analyze the effect of parameter uncertainty for wear volume during the entire time domain, and double-loop Monte Carlo sampling (MCS) approach is improved to propagate uncertainties during the entire time domain. Finally, based on Kriging model, the CRM is used to analyze the effect of parameter uncertainty for wear volume. The result shows that, when both aleatory and epistemic uncertainties are considered, the wear volume boundary is wider and better than that when only aleatory uncertainty is considered. These analyses help to improve the reliability design of system and set a theoretical foundation for the mechanic design and precision analysis of the mechanical system.

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References

Figures

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Fig. 2

Slider-crank mechanism with joint clearance

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Fig. 1

The simple model of flexible joint

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Fig. 3

Flexible joint slider-crank mechanism with joint clearance

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Fig. 4

Comparison of driving moment between the ideal and the nonideal joints with a 0.01-mm clearance

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Fig. 5

Comparison of contact force between the ideal and the nonideal joints with a 0.01-mm clearance

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Fig. 6

Comparison of driving moment between the ideal and the nonideal joints with a 0.5-mm clearance

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Fig. 7

Comparison of contact force between the ideal and the nonideal joints with a 0.5-mm clearance

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Fig. 8

Improved double-loop MCS

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Fig. 9

Response generated using the surrogate for wear volume

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Fig. 10

Boundaries of 95% confidence regions of wear volume

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