Robust Topological Optimization of Uncertainty Continuum Structures Based on SIMP Model

摘要

In order to explore the conceptual design method of Continuum Structures, which is feasible and practical in the engineering, the robust design method and the topology optimization theory are integrated. A mathematic model which dealing with the robust topological optimization of the uncertainty continuum structure is proposed based on SIMP(solid isotropic material with penalization) Model. Meanwhile, a heuristic optimality criteria algorithm is improved to solve the model, in which both random distribution uncertainty of structural design parameters and the non-probabilistic reliability of design constrains are considered. Numerical investigations illustrate the applicability and the validity of the present model as well as the proposed numerical algorithm. Results from the optimization provide the design domain and prototype for both the shape and size optimization in the detailed design. From the results, the optimal design is proved robust and effective. It can meet the needs of the concept design in the engineering projects.