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Application of the sequential parametric convex approximation method to the design of robust trusses

Author

Listed:
  • Alfredo Canelas

    (Universidad de la República)

  • Miguel Carrasco

    (Universidad de los Andes)

  • Julio López

    (Universidad Diego Portales)

Abstract

We study an algorithm recently proposed, which is called sequential parametric approximation method, that finds the solution of a differentiable nonconvex optimization problem by solving a sequence of differentiable convex approximations from the original one. We show as well the global convergence of this method under weaker assumptions than those made in the literature. The optimization method is applied to the design of robust truss structures. The optimal structure of the model considered minimizes the total amount of material under mechanical equilibrium, displacements and stress constraints. Finally, Robust designs are found by considering load perturbations.

Suggested Citation

  • Alfredo Canelas & Miguel Carrasco & Julio López, 2017. "Application of the sequential parametric convex approximation method to the design of robust trusses," Journal of Global Optimization, Springer, vol. 68(1), pages 169-187, May.
    • Handle: RePEc:spr:jglopt:v:68:y:2017:i:1:d:10.1007_s10898-016-0460-2
    DOI: 10.1007/s10898-016-0460-2
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    References listed on IDEAS

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    1. J. Herskovits, 1998. "Feasible Direction Interior-Point Technique for Nonlinear Optimization," Journal of Optimization Theory and Applications, Springer, vol. 99(1), pages 121-146, October.
    2. Amir Beck & Aharon Ben-Tal & Luba Tetruashvili, 2010. "A sequential parametric convex approximation method with applications to nonconvex truss topology design problems," Journal of Global Optimization, Springer, vol. 47(1), pages 29-51, May.
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