A Robust Thermomechanical Coupled Topology Optimization Method Considering Stochastic-Interval Mixture

Abstract

The invention relates to a robust thermal-mechanical coupled topology optimization method considering random-interval mixing. First, based on the mean and variance intervals of structural compliance, the worst-case robust objective function is defined and a robust thermal-mechanical coupled topology optimization model is constructed; then, the univariate dimensionality reduction method and the chaos-Chebyshev polynomial expansion method are combined , developed an efficient mixed uncertainty analysis method to calculate the uncertain performance response of thermally coupled structures; finally, based on the proposed mixed uncertainty analysis method, the sensitivity of structural topology design variables was derived, and a gradient-based The optimization algorithm is used to solve the problem, and finally the robust topological configuration of the thermal-mechanical coupling structure is obtained. By constructing a polynomial expansion model based on a dimension reduction integral strategy, the present invention effectively improves the efficiency of solving the uncertain performance response of the thermal-mechanical coupling structure, and realizes the efficient and robust topology optimization design of the structure under the thermal-mechanical coupling working condition.

Description

A Robust Thermo-Mechanical Coupled Topology Optimization Method Considering Stochastic-Interval Mixing technical field The present invention relates to the field of robust topology optimization methods, in particular to a kind of robustness considering random-interval mixing Thermal-mechanical coupling topology optimization method. Background technique [0002] Topology optimization is a kind of finding the best distribution of materials in a given design domain under given constraints, So that the performance of the structure can reach the optimal structure optimization method. Topological optimization methods are usually based on the presence or absence of structural materials (connected Continuum topology optimization) or the node layout of the rod structure (discrete topology optimization) is the optimization object, which is generally applied to the structure concept design stage. Therefore, the topology optimization method is compared with the traditional struc...

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Problems solved by technology

[0006] The purpose of the present invention is to provide a robust thermal coupling topology optimization method considering random-interval mixing, which can solve the problem of structural mixing uncertainty thermal coupling topology optimization

Aiming at the limitations of traditional methods to solve the mixed uncertainty problem in thermal-mechanical coupling topology optimization, the present invention proposes an efficient robust topology optimization design method

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