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arXiv · 1711.02351

Robust Truss Topology Optimization via Semidefinite Programming with Complementarity Constraints: A Difference-of-Convex Programming Approach

Yoshihiro Kanno
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Abstract

The robust truss topology optimization against the uncertain static external load can be formulated as mixed-integer semidefinite programming. Although a global optimal solution can be computed with a branch-and-bound method, it is very time-consuming. This paper presents an alternative formulation, semidefinite programming with complementarity constraints, and proposes an efficient heuristic. The proposed method is based upon the convex-concave procedure for DC (difference-of-convex) programming. It is shown that the method can often find a practically reasonable truss design within the computational cost of solving some dozen of convex optimization subproblems.

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Yoshihiro Kanno. 2017-12-09. Robust Truss Topology Optimization via Semidefinite Programming with Complementarity Constraints: A Difference-of-Convex Programming Approach. https://doi.org/10.1007/s10589-018-0013-3

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