truss optimization

Robust truss optimization using the sequential parametric convex approximation method

  • Alfredo Canelas
  • Miguel Carrasco
  • Julio López
    • Categories Global Optimization, Multidisciplinary Design Optimization, Second-Order Cone Programming Tags , , ,

    We study the design of robust truss structures under mechanical equilibrium, displacements and stress constraints. Our main objective is to minimize the total amount of material, for the purpose of finding the most economic structure. A robust design is found by considering load perturbations. The nature of the constraints makes the mathematical program nonconvex. In … Read more

    Truss topology design with integer variables made easy

  • Michal Kočvara
    • Categories (Mixed) Integer Nonlinear Programming, Mechanical Engineering, Semi-definite Programming Tags , ,

    We propose a new look at the problem of truss topology optimization with integer or binary variables. We show that the problem can be equivalently formulated as an integer \emph{linear} semidefinite optimization problem. This makes its numerical solution much easier, compared to existing approaches. We demonstrate that one can use an off-the-shelf solver with default … Read more