Evolutionary Topology Optimization Based On Sensitivity Of Strain Energy And Frequency And Its Applied Research

In the history of human engineering design,the goal pursued by designers has always been to meet people’s needs for engineering design at a minimum cost,but in the field of traditional engineering design,engineers often rely on their own rich theoretical knowledge and practical engineering experience.Guide the preliminary engineering design and then repeat the analysis and verification until the structural reliability requirements of the project are met.This design method is computationally intensive,has many repetitive tasks,and cannot guarantee whether the final solution obtained is the optimal design,and it is impossible to estimate the gap between the optimal solution and the optimal solution.With the actual engineering application due to resource conditions,performance indicators and other constraints,structural optimization design has become an important means to find the optimal design of structural design.This is a kind of optimal material distribution based on constraints such as engineering structure,optimization objectives,and other conditions.Optimization method.The general optimization steps are modeling-analysis-search-optimal design.According to different search methods,the structure optimization methods can be divided into size optimization,shape optimization and topology optimization.With the rapid development of computer technology and finite element theory,topology optimization has attracted more and more attention from scholars at home and abroad due to its optimization results and better optimization results.Its optimization results are widely used in architecture and machinery.Aerospace,marine engineering and other fields.The optimization criterion of the progressive evolution class topology optimization algorithm is one of the key factors affecting the structure optimization results.In this paper,the deep beam model under different conditions is taken as a numerical example,and the difference between the optimization solution and the optimization efficiency of the three algorithms based on different optimization criteria is compared.The results show that the progressive evolution class topology optimization algorithm with one-way and deterministic optimization criteria can efficiently obtain the optimal topology for components with simple conditions such as load and boundary.Probabilistic optimization criterion and progressive evolution class using bidirectional optimization criterion are adopted.The topology optimization algorithm has a wider range of applications,and it also exhibits strong ability to avoid optimized distortion and global optimization ability on components with complex conditions such as loads and boundaries.Finally,a flow chart is established for the genetic two-way progressive evolution structure optimization algorithm combining probabilistic optimization criterion and bidirectional optimization criterion.The preliminary discussion is carried out to further improve the practicability and optimization ability of the progressive evolution class topology optimization algorithm.The second innovative work done in this paper is to give a mathematical model of multi-objective optimization,combining the single-objective strain energy sensitivity and frequency sensitivity,and using the extremum method to normalize the two sensitivities without dimensionless processing.The linear weighting method is used to combine the two sensitivities into the multi-objective optimization problem.The static dynamic multi-objective topology optimization algorithm based on WESO algorithm is proposed.In this paper,the numerical feasibility,stability and universality of the algorithm are first proved by several numerical examples.Then the rationality of the optimization results and the multi-objective sensitivity are proved by the analysis of the force mechanism and the influence of the weight coefficient on the structural optimization.The validity proves that the multi-objective optimization algorithm can be more suitable for practical engineering applications than the single-objective optimization algorithm can balance static and dynamic optimization.Through the static and dynamic optimization algorithm,the optimal design scheme of the reinforcement of the reinforced concrete deep-bending members is given.By querying the literature and calculations,the design scheme without distinguishing the materials and considering the nonlinearity of the materials is adopted.The calculation is simple and the results are used..The main step is to obtain the tension and compression rod model of the component through the algorithm,and then arrange the steel bar at the position of the tie rod.In this paper,the static-dynamic multi-objective optimization algorithm is used to optimize the reinforcement of deep-bending members under different span ratios,and an optimization scheme is proposed,which has practical significance.