Smoothing Method of Chessboard Format in Topology Optimization
In order to solve the problem of edge chessboard format after topology optimization,it proposes a linear least square method to linearize the edge chessboard format.After the linearization of the boundary of the chessboard format,the problem of unequal and uneven end area of the beam structure is presented,which is inconvenient for the practical engineering application.In order to solve this problem,the paper proposes that the model after linear smoothing is optimized by the conventional method of equal area processing of single center division,which makes the reconstruction model more uniform and regular.However,it is found that the center of the beam of the reconstructed model deviates after the treatment of the method.In order to ensure the area of the end face of the beam structure is equal and the center line of the beam is not deviated,the method of equal area of the center line of the beam is proposed.This method avoids the deviation of the center line after the change of the equal area of the beam structure and ensures the integrity of the topology optimization structure.Through the calculation and comparison,it is found that the performance of the reconstruction model after the treatment by the two-way Center Division equal area method is better than the other two methods in statics analysis,which proves the feasibility of the two-way method.
Topology OptimizationChessboard FormatLinear Least Square MethodEqual Area MethodFinite Element Analysis