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

Journal of Global Optimization - Tập 68 - Trang 169-187 - 2016
Alfredo Canelas1, Miguel Carrasco2, Julio López3
1Instituto de Estructuras y Transporte, Facultad de Ingeniería, Universidad de La República, Montevideo, Uruguay
2Facultad de Ingeniería y Ciencias Aplicadas, Universidad de los Andes, Las Condes, Chile
3Facultad de Ingeniería, Universidad Diego Portales, Santiago, Chile

Tóm tắt

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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Journal of Global Optimization

Tập 68

169-187

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