Continuum structure non-probabilistic topological optimization method based on parameterized level set method

Abstract

The invention discloses a continuum structure non-probabilistic reliability topological optimization method based on a parameterized level set method. The method comprises the following steps: firstly, according to the stress and failure characteristics of a continuum structure, considering the uncertainty effect of finite sample condition parameters based on a non-probability set reliability model, taking reliability and volume as constraint conditions, taking the sum of upper bound flexibility and lower bound flexibility as an optimization target, taking the coefficient of a tight support radial basis function as a design variable, and establishing a non-probabilistic topological optimization model considering bounded uncertainty parameters; and solving the topological optimization modelbased on an optimization criterion method, obtaining a level set function of the continuum structure under given external load and boundary conditions through repeated iteration, and further determining the configuration of the structure. According to the method, the comprehensive influence of uncertainty parameters on level set function evolution in the topological optimization process is effectively and reasonably quantified in the topological optimization design process of the continuum structure, weight reduction of a certain target can be achieved, the structure keeps a certain degree ofreliability, and a structural design result is balanced in two aspects of safety and economy.

Description

technical field [0001] The present invention relates to the technical field of topology optimization design of continuum structures, in particular to a non-probabilistic topology optimization method for continuum structures based on parametric level set method, which considers that there is a certain range of material elastic modulus, external load and allowable displacement Uncertainty, based on the parameterized level set method, the upper and lower boundary flexibility of the structure is established as the optimization target, and under the dual constraints of the non-probabilistic reliability index of the optimized characteristic distance d and the target volume, the OC method is used to solve the problem Topology optimization model. Background technique [0002] Topology optimization corresponds to the conceptual design stage of structural optimization. In the initial stage of structural design, under the given load conditions and boundary conditions, find the material...

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Problems solved by technology

[0003] Although the homogenization method is based on a strict mathematical basis, there are still disadvantages in the homogenization method: when the microstructure information is used as the design variable of the optimization model, the calculation efficiency is not high, and the effect of improving the optimization algorithm to improve efficiency is not obvious

At present, the research results combining non-probabilistic reliability theory with topology optimization theory are not abundant, and the existing research results combining non-probabilistic reliability theory with topology optimization theory are all based on the SIMP method, and based on other methods. The non-probabilistic reliability topology optimization method has not yet been published

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