Research On Topology Optimization Algorithm Of Multiphase Materials For Partable Structural Elements

In order to better realize the lightweight design of the structure and solve the actual engineering problems to a greater extent,this paper integrates the Non-dominated Sorting Genetic Algorithm II based on the Bi-Directional Evolutionary Structural Optimization Method,and proposes a new cross-variation operator to improve convergence.At the same time,in order to give full play to the performance of the material itself,the interpolation scheme of multiphase materials is introduced,in order to be more in line with the actual working conditions,the optimization goal of structural frequency is added to the optimization goal of the traditional structural stiffness.In addition,in order to better carry out the lightweight design of the structure,the topological optimization process that meets the two scales of macro-optimization and microoptimization is realized,and a good optimization effect is obtained.Firstly,the Bi-Directional Evolutionary Structural Optimization Method and the Nondominated Sorting Genetic Algorithm II are fused to achieve the structural optimization of the continuum,the sensitivity calculation method of compliance is derived,the convergence side is determined,and a new cross-mutation operator is proposed to increase population diversity,improve the convergence of the algorithm and reduce the checkerboard phenomenon.By running different numerical examples,it is shown that the algorithm can optimize good results,and the results show that the algorithm can significantly improve the structural stiffness and operating efficiency,which proves the superiority of the fusion algorithm.Secondly,this paper introduces the interpolation scheme of multiphase materials on the basis of the joint algorithm,realizes the joint algorithm satisfying the interpolation scheme of multiphase materials,and introduces in detail the calculation method and implementation process of compliance sensitivity satisfying the interpolation scheme of multiphase materials,as well as the convergence criterion.Moreover,through the comparison and analysis of the examples results,the feasibility and superiority of the proposed algorithm are proved,that is,the structural stiffness can be significantly improved while the efficiency of the algorithm can be greatly improved.In addition,the study of the optimization results finds that the optimized structure has fewer bifurcations,more concentrated quality,and is more conducive to the support of the structure,which can meet more complex working conditions.Then,the structural frequency is introduced as the optimization goal,the frequency sensitivity calculation formula satisfies the interpolation scheme of multiphase materials,and the topology optimization algorithm with structural stiffness and structural frequency as the dual goals satisfies the interpolation scheme of multiphase materials is realized.By analyzing the numerical examples and comparing with the results of the interpolation scheme algorithm of multiphase materials with different single-targets,the advantages of the proposed algorithm are verified,that is,the topology optimization of structural stiffness and structural frequency can be realized at the same time.The implementation of this algorithm is of great significance,which can ensure that the natural frequency of the structure is increased while increasing the stiffness of the structure,and a better structural layout is obtained,which is effectively suitable for multi-working scenarios.Finally,on the basis of the above research,the sensitivity calculation of microstructure is derived,and a new topology optimization algorithm for macrostructure and microstructure is proposed to realize the double-scale topology optimization algorithm of macrostructure and microstructure on the basis of structural stiffness and frequency as the dual-objective optimization algorithm under the premise of satisfying the interpolation scheme of multiphase materials.The effectiveness of the algorithm is verified by numerical examples,and the data show that the algorithm can effectively improve the two optimization goals of structural stiffness and structural frequency,and the algorithm proposed in this paper can achieve lightweight design at a deeper level,and the optimized porous structure is also conducive to energy absorption,heat dissipation and shock absorption and other working conditions,in addition,the final optimization result has good boundary connectivity,which is also conducive to manufacturing.