Modified BESO Topology Optimization Algorithm for Fundamental Frequency Considering Geometrical Symmetry Constraint

Topology optimization of structures, seeking the best distribution of mass in the design space to improve the performance and weight of a structure, is one of the most comprehensive issues structural optimization field. In addition to the structure stiffness as the most common objective function, frequency optimization is of great importance in automotive and aerospace industries in order to avoid the resonance of the structure achieved by e.g. maximizing the fundamental frequency. In this paper, Bidirectional Evolutionary Structural Optimization (BESO) method as a successful approach in stiffness problems is modified (MBESO). The proposed MBESO is applied for modeling a 2D beam frequency optimization via creating a software package including a Matlab code and Abaqus FE solver linked to each other. Also, in this method for the first time the geometric symmetry constraint is considered as an effective factor in convergence of the objective function for symmetric problems, and finally the optimization results for new structure will be compared with initial structure.