Dynamic evolution rate BESO topological optimization method based on arc tangent and application thereof

Abstract

The invention discloses a dynamic evolution rate BESO topological optimization method on arc tangent and an application thereof. The dynamic evolution rate BESO topological optimization method comprises the steps: firstly, for a basic structure needing topological optimization, carrying out the discrete design of a domain through a finite element grid under a given boundary and loading condition,and obtaining a finite element model; determining initialized related parameters; executing finite element analysis for the finite element model, calculating the comprehensive sensitivity of each unitof the finite element model, and constructing the current dynamic evolution rate of the finite element model according to an arc tangent dynamic evolution rate function; determining the number of units needing to be updated in the current iterative step of the finite element model according to the current dynamic evolution rate of the finite element model; updating and optimizing the finite element model according to the number of units to be updated and the comprehensive sensitivity; and if the structure of the currently updated finite element model meets a constraint condition or a convergence condition, ending the optimization, and outputting an optimization model. According to the invention, the topology optimization of the basic structure can be accelerated by using the dynamic evolution rate, and the efficiency and flexibility of topology optimization are improved.

Description

technical field [0001] The invention relates to the technical field of structural topology optimization, in particular to a BESO topology optimization method based on an arctangent-based dynamic evolution rate and its application. Background technique [0002] Structural topology optimization is often applied in the field of construction and optimization processing such as 3D printing. The goal of topology optimization is to find the optimal topology that satisfies the design conditions in the design domain of the structure, so as to give full play to the material properties and make the structure have the best efficiency of resisting external forces. Among the most commonly used structural optimization design methods at present, the BESO (Bidirectional Evolution Structural Optimization, bidirectional progressive structural optimization algorithm) method is currently one of the most popular topology optimization design methods, but this method generally uses a fixed evolutio...

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Problems solved by technology

In order to make the iterative program converge stably at the end of the structure optimization process, the evolution rate should be set to a small value, that is, a lower evolution rate is used; however, the evolution rate at the beginning of the optimization process will be too low, resulting in the The increase in the number of iteration steps leads to a decrease in the computational efficiency of the overall optimization process, which also shows that keeping the evolution rate constant throughout the optimization process is not an optimal solution

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