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Dynamic computation for rigid–flexible multibody systems with hybrid uncertainty of randomness and interval

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Abstract

Considering the unavoidable uncertainty of material properties, geometry, and external loads existing in rigid–flexible multibody systems, a new hybrid uncertain computational method is proposed. Two evaluation indexes, namely interval mean and interval error bar, are presented to quantify the system response. The dynamic model of a rigid–flexible multibody system is built by using the absolute node coordinate formula (ANCF). The geometry size and external loads of rigid components are considered as interval variables, while the Young’s modulus and Poisson’s ratio of flexible components are expressed by a random field. The continuous random field is discretized to Gaussian random variables by using the expansion optimal linear estimation (EOLE) method. This paper proposes an orthogonal series expansion method, termed as improved Polynomial-Chaos-Chebyshev-Interval (PCCI) method, which solves the random and interval uncertainty under one integral framework. The improved PCCI method has some sampling points located on the bounds of interval variables, which lead to a higher accuracy in estimating the bounds of multibody systems’ response compared to the PCCI method. A rigid–flexible slider–crank mechanism is used as a numerical example, which demonstrates that the improved PCCI method has a higher accuracy than the PCCI method.

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Acknowledgements

This research is supported by Natural-Science-Foundation of China (11502083) and Fundamental Research Funds for the Central Universities.

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Authors and Affiliations

  1. Automotive Research Institute, Hefei University of Technology, Anhui, China

    Jinglai Wu, Liang Luo, Bo Zhu & Nong Zhang

  2. School of Mechanical and Mechatronic Engineering, University of Technology Sydney, Sydney, NSW, Australia

    Nong Zhang

  3. School of Materials Science and Engineering, Jiangsu University, Jiangsu, China

    Maoqing Xie

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  1. Jinglai Wu
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Correspondence to Jinglai Wu.

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Wu, J., Luo, L., Zhu, B. et al. Dynamic computation for rigid–flexible multibody systems with hybrid uncertainty of randomness and interval. Multibody Syst Dyn 47, 43–64 (2019). https://doi.org/10.1007/s11044-019-09677-1

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