Research And Improvement Of ESO Algorithm And SIMP Algorithm

With the rapid development of science technology and production activities, thetraditional structure design method has been unable to meet the higher, more complexengineering structure design requirements. The development of computer technologyand modern structural optimization design theory provides a strong support for structureoptimization. Evolutionary Structural Optimization(ESO) method and SIMP methodbecome the most widely used topology optimization algorithms. The paper is based onthe ESO method and SIMP method, in which the application of these two kinds ofalgorithm in the classic examples, the improvements of these two algorithms and theESO algorithm based on changing element’s elastic modulus are mainly discussed, themesh dependence of the algorithm are Reduced.Firstly, the basic principle of ESO method and SIMP method are introduced in thispaper. The application of these two kinds of algorithms in the MBB beam, Michellstructure, the structure of the cantilever beam are discussed. The advantages anddisadvantages of each algorithm are acquired. Six different combinations of eachalgorithm are seted.Meshing and the combination of the parameter selection of thesetwo kinds of algorithms are discussed in this paper.Secondly, the improvement scheme of filter technology the SIMP method used areproposed. By reconstructing the filter weight and element’s sensitivity computationformula, the mesh dependence of the algorithm are reduced.The removal process oftraditional ESO algorithm are improved, the detection and correction process areincreased, the effectiveness of the ESO algorithm are improved.Finally, the ESO algorithm based on changing element’s elastic modulus areproposed, Through gradual decrease inefficient element’s elastic modulus, thecalculation precision of the element’s sensitivity are improved, the mistaken delete ofthe element is effectively avoided. Based on this, the ESO algorithm of bidirectionalchanging elastic modulus are proposed.The improved algorithm can achieve to decrease inefficient element’s elasticmodulus and to increase high efficient element’s elastic modulus both in the sameiteration step to ensure no element with middle elastic modulus in the the final topologystructure, the manufacturability of the final topology are improved.The improved algorithm are applied to the Tie beam example to conduct a comprehensive in-depth discussion, and the algorithm is applied to classic generalexamples.