A collaborative robust optimization design method for composite support structures with topology and materials

Abstract

The invention discloses a composite material support structure topology and material collaborative robust optimization design method. It includes the following steps: considering the uncertainties in the manufacture and service of composite support structures, describing the properties of the insufficiently sampled external load and the sufficiently sampled matrix material as interval variables and bounded probability variables; The distribution is discretized and used as two sets of design variables, the physical and geometric constraints are set, and the topology and material collaborative robust optimization model is established. Using the moving asymptote method to solve: decouple the uncertainty of the probability interval, use the gradient of the target performance to determine the worst working condition; use the univariate decomposition method and Laguerre integral to estimate the mean and standard deviation of the target performance under the worst working condition To construct the objective function; finally calculate the gradient of the objective and constraint function to the design variables for iteration. The optimization model established by the invention truly reflects the distribution characteristics of the multi-source uncertainty of the support structure, is efficient in solving, and has good engineering application value.

Description

technical field [0001] The invention belongs to the field of equipment structure optimization design, and relates to a composite material support structure topology and material collaborative robust optimization design method. Background technique [0002] As a method of adjusting the distribution of limited materials in the design domain to optimize the performance of structural targets, topology optimization has been widely used in product design, and has been further matured with the promotion of additive manufacturing technology in recent years. Considering the topology of enhanced materials Co-optimization with material distribution has also received extensive attention. Due to various uncertainties in the process of manufacturing and use, in order to prevent the performance of the theoretical results of topology optimization from deteriorating after actual manufacturing, the influence of uncertainties must be considered in the design stage. [0003] Due to the huge am...

AI Technical Summary

Problems solved by technology

[0006] In order to solve the problem of collaborative robust optimization design of support structure topology and material distribution of particle reinforced materials under the influence of multi-source uncertainties, the present invention provides a method for collaborative robust optimization design of support structure topology and materials of composite materials

The present invention efficiently solves the collaborative robust optimization design problem of particle reinforced material support structure topology and material distribution under the coexistence of uncertain factors in the probability interval, and has good engineering application value

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