Abstract: A hybrid multi-objective programming scheme for multi-stiffness continuum topology optimization subject to complex loading cases has been proposed and developed in this paper by using artificial power law, in which sequential hierarchical optimization method and compromising programming method are combined. Multi-stiffness topological optimizations are actually nonlinear mathematical programming problems. A mathematical programming method with globally convergent and monotonous characteristics is presented based on convex approximations of the method of moving asymptotes, which is theoretically well-founded for advanced topology optimizations with complicated objectives and multiple constraints. Numerical application is applied to demonstrate the validity of the presented methodologies.

Key words: structural topology optimization, multiple stiffness, multi-objective programming, mathematical programming, method of moving asymptotes