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Topology optimization of structure for dynamic properties considering hybrid uncertain parameters

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Abstract

In the design and manufacturing of mechanical components, the dynamic properties of continuum structure are one of the most significant performances. At the same time, the uncertainty is widespread in these dynamic problems. This paper presents a robust topology optimization methodology of structure for dynamic properties with consideration of hybrid uncertain parameters. The imprecise probability uncertainties including materials, geometry and boundary condition are treated as an interval random model, in which the probability distribution parameters of random variables are modeled as the interval variables instead of given precise values. Two dynamic properties, including dynamic-compliance and eigenvalue, are chosen as the objective function. In addition, different excitation frequency or eigenvalue is discussed. In this work, the bi-directional evolutionary structural optimization (BESO) method is adopted to find the optimal robust layout of the structure. A series of numerical examples is presented to illustrate the optimization procedure, and the effectiveness of the proposed method is demonstrated clearly.

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Acknowledgements

The project is supported by the Project funded by China Postdoctoral Science Foundation. The authors also wish to thank Research Project of the Science Fund of State Key Laboratory of Advanced Design and Manufacturing for Vehicle Body (Grant No. 51375001 and 31615002), Research Project of State Key Laboratory of Mechanical Systems and Vibration (MSV 201613 and MSV201711), and Open Foundation of the State Key Laboratory of Fluid Power and Mechatronic Systems GZK F-201601.

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Authors and Affiliations

  1. State Key Laboratory of Advanced Design and Manufacturing for Vehicle Body, Hunan University, Changsha, 410082, People’s Republic of China

    Z. C. He & Y. Wu

  2. The State Key Laboratory of Fluid Power and Mechatronic Systems, Zhejiang University, Hangzhou, 310027, China

    Z. C. He & Eric Li

  3. Department of Mechanical and Automation Engineering, The Chinese University of Hong Kong, Shatin, NT, Hong Kong, China

    Eric Li

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  1. Z. C. He
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Correspondence to Eric Li.

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He, Z.C., Wu, Y. & Li, E. Topology optimization of structure for dynamic properties considering hybrid uncertain parameters. Struct Multidisc Optim 57, 625–638 (2018). https://doi.org/10.1007/s00158-017-1769-2

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