Structure topology optimization design method based on response surface method

Abstract

The invention discloses a structural topology optimization design method based on a response surface method. The method comprises the following steps: selecting feature sizes which have relatively large influence on total weight as design variables; determining a test center point required for performing response surface test design by adopting the center combination design; generating a sample point data table for response surface optimization, and performing topological optimization; performing response surface fitting on test results obtained by each group of tests; setting a design variable value combination corresponding to a minimum value point in the fitting results as a new sample point, performing topological optimization on a structure corresponding to the new sample point, and substituting the test results into the test results of the original sample point data table to perform response surface fitting again; and obtaining the plane configuration of the optimal structure until the value of the design variable corresponding to the minimum value point in the response surface fitting result does not change any more or is stabilized in the determined small range, thereby realizing the multi-dimensional optimization design of the structure.

Description

technical field [0001] The invention relates to aviation system technology, in particular to a structural topology optimization design method based on the response surface method. Background technique [0002] Structural optimization design combines mechanical analysis and optimization theory and applies it to structural design, which improves the utilization rate of materials and reduces the weight of structures. It has been widely used in aerospace, automobile and other fields. In recent years, many studies have been conducted on the application of design-of-experiments-based response surface methods to structural optimization design. [0003] In 2014, Li Peng from Nanjing University of Aeronautics and Astronautics proposed to solve the reliability topology optimization problem through the response surface fitting method in the paper "Stochastic Reliability Topology Optimization of Structural Elements". Based on the response surface method, the structural load and material...

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Problems solved by technology

However, most of the existing topology optimization of continuous structures only focuses on the optimization of the planar configuration and size of the structure, while there are few studies on the optimization of complex section dimensions and the influence of section size on the planar configuration, and most of them only focus on a certain However, there are few studies on topology optimization design under multiple constraints.

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