Application of the sequential parametric convex approximation method to the design of robust trusses | Journal of Global Optimization
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Application of the sequential parametric convex approximation method to the design of robust trusses

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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.

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Authors and Affiliations

  1. Instituto de Estructuras y Transporte, Facultad de Ingeniería, Universidad de la República, Julio Herrera y Reissig 565, Montevideo, Uruguay

    Alfredo Canelas

  2. Facultad de Ingeniería y Ciencias Aplicadas, Universidad de los Andes, Mons. Álvaro del Portillo 12455, Las Condes, Santiago, Chile

    Miguel Carrasco

  3. Facultad de Ingeniería, Universidad Diego Portales, Ejército 441, Santiago, Chile

    Julio López

Authors
  1. Alfredo Canelas
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  2. Miguel Carrasco
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  3. Julio López
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Corresponding author

Correspondence to Alfredo Canelas.

Additional information

The first author was supported by the Uruguayan Councils ANII and CSIC. The second and third authors were supported by CONICYT-Chile, via FONDECYT projects 1130905 and 1160894, respectively.

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Canelas, A., Carrasco, M. & López, J. Application of the sequential parametric convex approximation method to the design of robust trusses. J Glob Optim 68, 169–187 (2017). https://doi.org/10.1007/s10898-016-0460-2

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  • DOI: https://doi.org/10.1007/s10898-016-0460-2

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