Abstract
Using variable stiffness design to enhance the bearing capacity of composite structures has been an appealing strategy. In previous approaches for optimizing discrete fiber orientation, a penalty strategy is always adopted to drive the design variables to 0 or 1, which is unstable and does not guarantee the convergence of all fiber orientations. This paper proposes a novel optimization method termed sequential gradient chase (SGC) for optimizing discrete fiber orientations in composites based on stiffness matrix interpolation. We construct an optimization domain tightening criterion and a discrete direction search criterion. Constraints are incorporated into the solver by using an intriguing update rule for design variables, resulting in conversion from a constrained optimization problem to an unconstrained optimization problem. The suggested method is capable of achieving convergence of all fiber orientations without the use of any penalty measure and producing a clear fiber layout scheme devoid of gray-scale elements. Numerical examples demonstrate that the proposed method can be successfully applied to a variety of physical models for the calculation of in-plane stress and strain, plate bending, and shell torsion, and possesses a stable optimization ability and a high solving efficiency.
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Acknowledgements
This work was supported by the National Natural Science Foundation of China (Grant No. 52165035, 51865041, 51905475), Postgraduate Research and Innovation Funding Project of Inner Mongolia Autonomous Region of China (Grant No. BZ2020037), the Natural Science Foundation of Inner Mongolia Autonomous Region of China (Grant No. 2020MS05022), and the State Key Laboratory of Fluid Power and Mechatronic Systems (Grant No. SKLoFP_ZZ_2102).
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The results presented in this article are produced from the SQP optimization solver and our in-house optimization solver which is developed on MATLAB. The geometry input file is generated in ABAQUS. The results can be replicated by adopting the proposed optimization method with the given models and parameters.
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Yan, J., Sun, P., Zhang, L. et al. SGC—a novel optimization method for the discrete fiber orientation of composites. Struct Multidisc Optim 65, 124 (2022). https://doi.org/10.1007/s00158-022-03230-z
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DOI: https://doi.org/10.1007/s00158-022-03230-z