Abstract: “Multi-point approximation (MA) [1] and GA together with two-level multipoint approximation concepts was used. The topology variables of the trusses are optimized, through GA in the external layer of the first level approximation, while the cross-sectional areas of bars are optimized in the internal layer, which is solved by the dual method in the second level approximation. But singularity of MA may take place. The Integrated Multi-point Approximation (IMA) developed by using two approximate functions in two different specified domains, to avoid the singularity, the developed function can be used for both topology and sizing. Its accuracy of the new function studied [2],[3], results were satisfying, for topology optimization and sizing; in this study application examples are demonstrated, to show the validity and the efficiency of the proposal, for topology optimization as well as sizing”

Keywords: Structural Optimization, Multi-point approximation, GA, Topology Optimization