Research On Key Technologies Of SIMP Algorithm And BESO Algorithm

SIMP algorithm and BESO algorithm are more widely used in the field of structure topology optimization. The paper is based on the SIMP algorithm and BESO algorithm, in which the characteristics of these two kinds of algorithm in the classic examples are discussed. Aiming at the shortcomings of the SIMP algorithm and BESO algorithm, the improvements of these two algorithms are proposed to improve it’s optimal performance. The main contents of the paper are as follows:1. The disadvantage of the SIMP algorithm and EBSO algorithm are acquired by analyzing the results of classical cases. The basic principle of the SIMP algorithm and BESO algorithm are introduced in the paper. The applications of the two kinds of algorithms in the Michell structure, short cantilever beam, MBB beam are discussed. The disadvantages of each algorithm are acquired.2. Modified sensitivity filter strategy SIMP method is proposed. The calculation of sensitivity after filtering should take into consideration a section associated with sensitivity of the center element before filtering, which need adjust the ratio by the filter weight in the sensitivity after filtering. The relationship of filter weight and the filter radius is obtained via the topological optimal case, and then the function of filter weight is built based on the relationship. Based on modified sensitivity filter strategy, the procedure of the proposed SIMP method is shown combined with the Double-SIMP method. The optimization results of two examples confirm that the proposed SIMP method can effectively reduce the gray-scale elements without numerical instability.3. BESO method based on sensitivity modification strategy is proposed. We give a path to improve the computational accuracy of elemental sensitivity numbers is given by using Newton-Cotes formula, which is based on the reason of causing relative error of sensitivity numbers between calculated and actual values. The optimization results of examples confirm that the proposed BESO method can effectively improve the ability of global optimization. Using the ANSYS static analysis, the results verify that superiority of the proposed BESO method superior to traditional SIMP method.4. The prototype system is developed based on two kinds of improved algorithms. The prototype system for two kinds of improved algorithms is carried out with Matlab. Validity of the presented method is verified by using the prototype system and ANSYS to optimize bearing bracket and arch bridge structure.