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Reliability assessment method based on the meta-action unit for complex mechanical system

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Abstract

In this paper, a functionality unit named as meta-action unit (MAU) is proposed to correlate the system function with the part actions and assess reliability of mechanical system. Firstly, the function of system is decomposed into multiple MAUs by function-movement-action (FMA). Then, the lifetime of MAU is fitted by Weibull distribution, and its parameters are estimated by support vector regression (SVR). In addition, taking the distributions of MAU as marginal distributions, the lifetime distribution of mechanical system is constructed by copula function to assess system reliability, and its parameters are estimated using the maximum likelihood estimator (MLE). Further, the reliability assessment accuracy based on MAU is compared with that from traditional method based on mechanical part failure modes. Finally, the reliability assessment of the indexing turntable (IT) is performed as an example to illustrate the feasibility and reasonability of the proposed method.

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Abbreviations

FMA :

Function-movement-action

IT :

Indexing turntable

LSE :

Least square estimation

MA :

Meat action

MAC :

Meat action chain

MAU :

Meat action unit

MLE :

Maximum likelihood estimator

RMSE :

Root mean squared error

SER :

System empirical reliability

SVR :

Supporting vector regression

WPP :

Weibull probability paper

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Acknowledgments

This work was supported in part by the National Natural Science Foundation of China under Grant 51835001, 52275473. The authors gratefully acknowledge the contribution and support of Ning Jiang Machine Tool Co., Ltd. (Sichuan, China), who provides the failure data of the mechanical product.

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Authors and Affiliations

  1. College of Mechanical and Vehicle Engineering, Chongqing University, Chongqing, 400044, China

    Xiao Zhu, Yan Ran & Xinglong Li

  2. State Key Lab Mechanical Transmission, Chongqing, 400044, China

    Yan Ran

Authors
  1. Xiao Zhu
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  2. Yan Ran
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  3. Xinglong Li
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Corresponding author

Correspondence to Yan Ran.

Additional information

Xiao Zhu received the M.S. degree in Mechanical Engineering from Chongqing University, Chongqing, China, in 2019. His research interests include mechatronic product reliability assessment and maintainability analysis.

Yan Ran received the M.S. and Ph.D. degree in Mechanical Engineering from Chongqing University, Chongqing, China, in 2012 and 2016, respectively. She is currently an Associate Professor at Chongqing University, a fixed researcher at the State Key Laboratory of Mechanical Transmission, Chongqing University, a member of the Chongqing Science and Technology Association and a member of the National Association of Basic Research on Interchangeability and Measurement Technology. Her research interests include mechatronic product reliability technology and modern quality engineering.

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Zhu, X., Ran, Y. & Li, X. Reliability assessment method based on the meta-action unit for complex mechanical system. J Mech Sci Technol 37, 1233–1242 (2023). https://doi.org/10.1007/s12206-023-0210-6

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  • DOI: https://doi.org/10.1007/s12206-023-0210-6

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