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An Adaptive Approach to Adjust Constraint Bounds and its Application in Structural Topology Optimization

Author

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  • G. L. Yi

    (Beijing University of Technology)

  • Y. K. Sui

    (Beijing University of Technology)

Abstract

Two difficult situations often occur in the final results of engineering design optimization problems, i.e., final results yielding (1) violated constraints, or (2) no active constraints. In order to avoid these situations, this paper proposes an adaptive approach of dynamically adjusting constraint bounds to address constraint satisfaction issues. Based on the ratio of the true value of the constraint obtained by the analytical formula or finite element analysis, to the corresponding constraint bound used in the current iteration, a new constraint bound is computed and updated automatically for next iteration. By means of controlling the iterative process, this approach is able to make all constraints satisfied at the optimum point. It is implemented successfully and robustly into structural topology optimization problems with a displacement constraint.

Suggested Citation

  • 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.
    • Handle: RePEc:spr:joptap:v:169:y:2016:i:2:d:10.1007_s10957-014-0611-x
    DOI: 10.1007/s10957-014-0611-x
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    References listed on IDEAS

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    1. Gabriel Haeser & María Laura Schuverdt, 2011. "On Approximate KKT Condition and its Extension to Continuous Variational Inequalities," Journal of Optimization Theory and Applications, Springer, vol. 149(3), pages 528-539, June.
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    Cited by:

    1. 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.

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