SA-BESO joint topological optimization method
A topology optimization and algorithm technology, applied in design optimization/simulation, special data processing applications, etc., can solve the problems of reducing the global optimality of the solution results, without considering the influence of the genetic algorithm objective function, etc., and achieve the goal of improving the global optimality Effect
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Embodiment 1
[0033] Please refer to figure 1 The embodiment of the present invention provided for the embodiment of the present invention provides a SA-BESO joint topology optimization method, including the following steps:
[0034] S101: Acquire the i-th structure model, and initialize the SA-BESO parameters; where, i∈N*.
[0035] Among them, it needs to be further explained that SA-BESO parameters include initial temperature, deletion rate, volume constraint, penalty factor, Markov chain length L, and cooling index.
[0036] S102: Divide the i-th structural model into a plurality of i-th structural units, analyze the i-th structural units, and obtain i-th structural data.
[0037] Among them, the way of division depends on the specific situation. For example, for a two-dimensional structure, triangular or quadrilateral division can be selected. The i-th structure data includes related structure data such as stiffness matrix, displacement matrix and node information matrix.
[0038] S10...
Embodiment 2
[0044] Please refer to figure 2 The embodiment of the present invention provided for the embodiment of the present invention provides a SA-BESO joint topology optimization method, including the following steps:
[0045] S201: Acquire the i-th structure model, and initialize the SA-BESO parameters; where, i∈N*.
[0046]Among them, it needs to be further explained that according to the optimization problem, the i-th structural model is obtained, and the i-th structural model contains the objective function and corresponding constraint conditions, and in structural topology optimization, the i-th structural model will have load conditions such as force . Wherein, the i-th structure model generally takes the minimum of the compliance of the structure as the objective function, and uses volume constraints as constraint conditions, but it is not limited thereto.
[0047] Among them, SA-BESO parameters include initial temperature, deletion rate, volume constraint, penalty factor, ...
Embodiment 3
[0062] In this embodiment, the i-th structural unit is randomly updated by using binary codes for cross mutation, and the specific process is as follows:
[0063] Give each i-th structural unit a binary code of 6-10 bits, that is, the physical unit is represented by the number "1", such as "111111", and the empty unit is composed of "1" and "0" not exceeding a certain proportion, such as " 010101".
[0064] The method for randomly generating a new solution by cross-variation is as follows: the sensitivity corresponding to each i-th structural unit is sorted in descending order, and the unit sensitivity is divided into two parts, the first part is the first N (1-ER) sensitivity groups, It is called the pre-reservation array, and the second part is the remaining N×ER sensitivity groups, which is called the pre-removal array. Perform crossover and mutation operations between two arrays to establish the relationship between old and new solutions. In the crossover phase, each ind...
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