Robust topological optimization method of thin-shell structure considering thickness uncertainty

A topology optimization and uncertainty technology, applied in special data processing applications, instruments, electrical digital data processing, etc., can solve problems such as overweight products, small local thickness, and reduced product reliability, so as to reduce average costs and improve Overall quality, effect of improving design efficiency

A topology optimization and uncertainty technology, applied in special data processing applications, instruments, electrical digital data processing, etc., can solve problems such as overweight products, small local thickness, and reduced product reliability, so as to reduce average costs and improve Overall quality, effect of improving design efficiency

CN110287534AActive Publication Date: 2019-09-27SHANGHAI AEROSPACE SYST ENG INST
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  • Robust topological optimization method of thin-shell structure considering thickness uncertainty
  • Robust topological optimization method of thin-shell structure considering thickness uncertainty
  • Robust topological optimization method of thin-shell structure considering thickness uncertainty

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Experimental program
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Embodiment

[0095] Such as image 3 As shown, the present invention provides a method for robust topology optimization of thin-shell structures considering thickness uncertainty. In more detail, it includes the following steps:

[0096] S1: Establish a finite element model of a support-type spherical thin-shell tank structure, such as figure 1 , figure 2 As shown, it is a schematic diagram of a finite element model of a support-type thin-shell tank structure according to an embodiment of the present invention. The radius of the sphere R=20, and the random field probability distribution of the thickness t of the sphere is a normal distribution, and its mean value and variance are (1.0 ,0.1);

[0097] S2: Establish a robust topology optimization mathematical model for structural compliance response, the formula is:

[0098] min:μ(f(x,ξ))+ασ(f(x,ξ))

[0099] s.t.K(ξ)U=P

[0100] f V 0

[0101] Among them, f(x,ξ) represents the structural compliance target response; x is a design vari...

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Abstract

The invention discloses a robustness topology optimization method of a thin-shell structure considering thickness uncertainty. The method comprises the following steps of firstly, determining the random field probability distribution of a thickness t; establishing a robustness topology optimization mathematical model of the structure; discretizing the random field by adopting an EOLE method to reduce the number of random variables; determining the sample points of the polynomial chaos expansion (PCE); calculating the structure response and the sensitivity information at the sample point based on a finite element method; calculating a mean value and a variance of the structure response; calculating an objective function value and the sensitivity information of the objective function; inputting the sensitivity and target function information into an MMA, and updating a design variable; and judging the result convergence, if the result is convergent, outputting an optimization result, and if the judgment result is not convergent, continuing iteration.

Description

technical field [0001] The invention relates to the field of optimization design of thin-shell structures of carriers and aircrafts, in particular to a robust topology optimization method for thin-shell structures. Background technique [0002] Carriers and aircraft structures generally adopt lightweight thin-walled structures. Due to plate raw materials, processing and manufacturing, etc., there is always a certain deviation between the thickness of the official product of the thin-walled structure and the design value, making the difference between the structural performance and the design value. There are variations between batches and batch-to-batch performance. The demand for refined design of aerospace vehicles and aircraft structural systems with strict quality requirements is also increasing. In the case of relatively fine thickness design, small changes will also cause large changes in structural performance and affect the reliability of the structure. . [0003] ...

Claims

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Application Information

Patent Timeline
27 Sep 2019
Publication
CN110287534A
IPC
G06F17/50
CPC
G06F30/15; Y02T10/40
Inventors
史立涛; 顾远之