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Robust topology optimization for multiple fiber-reinforced plastic (FRP) composites under loading uncertainties

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Abstract

This study proposes a non-deterministic robust topology optimization of ply orientation for multiple fiber-reinforced plastic (FRP) materials, such as carbon fiber–reinforced plastic (CFRP) and glass fiber–reinforced plastic (GFRP) composites, under loading uncertainties with both random magnitude and random direction. The robust topology optimization is considered here to minimize the fluctuation of structural performance induced by load uncertainty, in which a joint cost function is formulated to address both the mean and standard deviation of compliance. The sensitivities of the cost function are derived with respect to the design variables in a non-deterministic context. The discrete material optimization (DMO) technique is extended here to accommodate robust topology optimization for FRP composites. To improve the computational efficiency, the DMO approach is revised to reduce the number of design variables by decoupling the selection of FRP materials and fiber orientations. In this study, four material design examples are presented to demonstrate the effectiveness of the proposed methods. The robust topology optimization results exhibit that the composite structures with the proper ply orientations are of more stable performance when the load fluctuates.

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Funding

This work was supported by the National Key Research and Development Program of China (grant number 2016YFB0101602) and the National Natural Science Foundation of China (grant number 51575399).

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Authors and Affiliations

  1. School of Automotive Studies, Tongji University, Shanghai, 201804, China

    Yanan Xu & Yunkai Gao

  2. Shanghai Key Lab of Vehicle Aerodynamics and Vehicle Thermal Management Systems, Tongji University, Shanghai, 201804, China

    Yanan Xu & Yunkai Gao

  3. School of Aerospace, Mechanical and Mechatronic Engineering, The University of Sydney, Sydney, NSW, 2006, Australia

    Chi Wu & Qing Li

  4. School of Civil and Environmental Engineering, University of Technology Sydney, Sydney, NSW, 2007, Australia

    Jianguang Fang

Authors
  1. Yanan Xu
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  2. Yunkai Gao
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  3. Chi Wu
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  4. Jianguang Fang
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  5. Qing Li
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Corresponding author

Correspondence to Yunkai Gao.

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Responsible Editor: Xu Guo

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Xu, Y., Gao, Y., Wu, C. et al. Robust topology optimization for multiple fiber-reinforced plastic (FRP) composites under loading uncertainties. Struct Multidisc Optim 59, 695–711 (2019). https://doi.org/10.1007/s00158-018-2175-0

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  • DOI: https://doi.org/10.1007/s00158-018-2175-0

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