Structure topology optimization method and system based on weighted graph and readable storage medium

Abstract

The invention discloses a weighted graph based structure topology optimization method and system, and a readable storage medium. The method comprises the following steps: S1, setting design variablesrequired by a weighted graph model of a target body and upper and lower bounds of part of adjustable design variables; S2, randomly generating a mathematical model of a first-generation individual according to the upper and lower bounds of a design variable, and performing iterative operation by using the differential evolution algorithm based on the mathematical model of the first-generation individual to obtain an optimal mathematical model; wherein the mathematical model is represented by a group of design variables obtained based on random values in a range defined by upper and lower boundaries; and S3, converting the optimal mathematical model into an optimal structure topology configuration corresponding to the target body. According to the method, structural topology optimization isachieved, the gradient of unit attributes does not need to be calculated in the process, meanwhile, no special requirement is needed for the structural load working condition, and the method can be well applied to structural topology optimization under dynamic loads.

Description

technical field [0001] The invention belongs to a topology optimization method, in particular to a structural topology optimization method, system and readable storage medium based on a weighted graph and a double adaptive differential evolution algorithm. Background technique [0002] Topology optimization technology has always been a hot topic in structural optimization problems. Since the 1980s, relevant scholars have developed many different types of topology optimization methods. These mainly include variable density method (SIMP), progressive topology optimization method (ESO) and its derivative methods bidirectional progressive topology optimization method (BESO), level set method (Level-set) and so on. By discretizing the design space with the help of finite element technology, the above method is used to adjust the properties (density, thickness) of some units in the design space, so as to realize the change of material distribution, and then realize the optimizati...

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Problems solved by technology

[0003] The above-mentioned methods have a common disadvantage that in the process of adjusting the unit properties, it is necessary to calculate the gradient information of the unit property change to the optimization target, and determine the direction and magnitude of the unit’s property adjustment according to the gradient’s steepest descent principle

However, the equivalent static load method is an equivalent method after all, and there will inevit

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