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Reliability design of multibody systems using sample-based extreme value theory

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Abstract

A multibody system can be modeled with multiple parameters such as mass, stiffness, damping, and length. Even though such parameters are frequently assumed to be deterministic, they are not because of various factors such as manufacturing tolerance, material irregularity, fatigue, and wear. Because the performance of a multibody system depends on its parameters, parameter uncertainties result in system performance uncertainty. Probability density functions (PDFs) of uncertain parameters can be identified based on their populations. In practical engineering problems, however, it is almost impossible to enumerate the populations of all parameters. Therefore in this study, we propose a sample-based reliability design method using an extreme value theory. The effectiveness and accuracy of the proposed method is validated with three explicit functions and two multibody systems.

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Acknowledgement

This research was supported by the National Research Foundation of Korea (NRF) funded by the Ministry of Education, Science and Technology (MEST) of Korea (Grant number: NRF-2015R1A2A2A01003422).

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Authors and Affiliations

  1. School of Mechanical Engineering, Hanyang University, 17 Haengdang-dong Seongdong-gu, Seoul, 133-791, South Korea

    Chan Kyu Choi & Hong Hee Yoo

  2. Laboratoire Modélisation et Simulation Multi Echelle, MSME UMR 8208 CNRS, Université Paris-Est Marne-la-Vallée, 5 bd Descartes, 77454, Marne-la-Vallée, Cedex 2, France

    Anas Batou

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  1. Chan Kyu Choi
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  2. Anas Batou
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  3. Hong Hee Yoo
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Correspondence to Hong Hee Yoo.

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Choi, C.K., Batou, A. & Yoo, H.H. Reliability design of multibody systems using sample-based extreme value theory. Multibody Syst Dyn 37, 413–440 (2016). https://doi.org/10.1007/s11044-015-9482-7

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  • DOI: https://doi.org/10.1007/s11044-015-9482-7

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