Topology optimization of a framed structure using generalized transfer stiffness coefficient method

Use of genetic algorithms as an effective tool for searching sets of Pareto-optimal solutions in the context of multi-objective optimization problems has attracted considerable attention in various engineering fields. This paper presents a topology optimization method of framed structures using a genetic algorithm and the generalized transfer stiffness coefficient method (GTSCM). The GTSCM is well suited for the computation of constraint and the objective function values since stress and vibration analysis can easily be conducted by simply providing the structural data corresponding to the genotype of the individual. Two-objective optimization problems that minimize the total weight and maximize the first natural frequency under the displacement and the stress constraint are formulated, and a genetic algorithm based on the ground structure approach is developed. The present algorithm fully utilizes the benefits of the GTSCM in order to efficiently improve computation. Effective methods of genetic operations for the optimization of topology problems are also proposed.