A compliance based topology optimization design of structures considering non-probabilistic reliabil

Abstract: In practical engineering, existing uncertainties may gy optimization. Based on the multi-ellipsoid convex model play an important role in structural topolofor uncertainties and the definition of the non-probabilistic reliability index, a mathematical model for non-probabilistic reliability based topology optimization is proposed. The optimization objective is to minimax the structural compliance with the constraints on the material volume and the bounds of uncertainties. The single loop strategy combining with the method of moving asymptotes is adopted for the solution of the optimization problem. Then the meanings of the proposed topology optimization is revealed by a classical example of size optimization design, namely, the non-probabilistic topology optimization could yield more economical material layout than the deterministic optimization under equal reliability requirements. Numerical investigations illustrate the validity of the present model as well as the proposed numerical techniques.