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Optimization of Combining Fiber Orientation and Topology for Constant-Stiffness Composite Laminated Plates

Author

Listed:
  • Xinxing Tong

    (Xi’an University of Technology
    Northwestern Polytechnical University)

  • Wenjie Ge

    (Northwestern Polytechnical University)

  • Xinqin Gao

    (Xi’an University of Technology)

  • Yan Li

    (Xi’an University of Technology)

Abstract

This paper deals with an efficient optimization method of combining fiber orientation and topology for constant-stiffness composite laminated plates. The optimal topology and fiber orientation can be simultaneously obtained, using the proposed method. To overcome the non-monotonous behaviors derived from directly optimizing fiber orientation, the lamination parameters are selected as design variable. The proposed method mainly includes two steps. Initially, lamination parameters and density are taken as the design variables for determining the fiber orientation and topology shape. A combined optimization model is built based on the penalization theory. The optimal lamination parameter and topology shape can be achieved simultaneously in this step. Then, solving nonlinear equations is transformed into a least squares optimization problem. The optimal fiber orientation is obtained and matched with the optimal lamination parameter. Finally, numerical examples of designing short cantilever beam and compliant inverter are performed to illustrate the validity of this method.

Suggested Citation

  • Xinxing Tong & Wenjie Ge & Xinqin Gao & Yan Li, 2019. "Optimization of Combining Fiber Orientation and Topology for Constant-Stiffness Composite Laminated Plates," Journal of Optimization Theory and Applications, Springer, vol. 181(2), pages 653-670, May.
    • Handle: RePEc:spr:joptap:v:181:y:2019:i:2:d:10.1007_s10957-018-1433-z
    DOI: 10.1007/s10957-018-1433-z
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    References listed on IDEAS

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    1. G. L. Yi & Y. K. Sui, 2016. "An Adaptive Approach to Adjust Constraint Bounds and its Application in Structural Topology Optimization," Journal of Optimization Theory and Applications, Springer, vol. 169(2), pages 656-670, May.
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