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Mechanical Engineering

Anti-fatigue optimization of the twisting force arm of landing gear based on Kriging approximate sequential optimization method

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Pages 1-11 | Received 28 Sep 2021, Accepted 17 Jul 2023, Published online: 30 Oct 2023
 

ABSTRACT

The twisting force arm (TFA) is an important part of the pillar landing gear, anti-fatigue optimization on its structure can improve the reliability of the landing gear. However, the optimization accuracy of the conventional optimization method is limited by the basic topological structure from the views of topological theory. Besides that, the optimization efficiency of the conventional method is also relatively low because of the high computational cost of the fatigue life estimation. In this paper, an anti-fatigue optimization method of the TFA was developed to improve the optimization accuracy and efficiency by using the approximate sequential optimization method after an optimal basic topological structure was obtained. To verify its effectiveness, the proposed method was introduced to the anti-fatigue optimization of a pillar landing gear TFA. The results show that the optimization accuracy of the proposed method is higher than the conventional method, and the computational cost can be reduced 82.35%. This indicates that the proposed method can improve the optimization accuracy and efficiency of the anti-fatigue optimization.

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Nomenclature

Dj=

accumulative fatigue damage under the jth stage load

G0=

weight of the TFA after topological optimization

G=

weight after anti-fatigue optimization

Nj=

number of the stress cycles when the failure occurs under the jth stage load

N=

fatigue life of the TFA

nj=

number of the stress cycles under the jth stage load

SE=

total strain energy of the design domain

Sa=

stress corresponding to the TFA Sa-N curve

TFA=

twisting force arm of the pillar landing gear

xk=

element density in the design domain

xi=

design variables

ximin=

low bounds of the design variables

ximax=

up bounds of the design variables

γ=

scatter factor that considering the dispersion of the fatigue life

ωj=

ratio that the number of the jth stage stress cycles to the gross number of the stress cycles

σa=

stress corresponding to the material S-N curve

σmax=

maximum Von-Mises stress

Disclosure statement

No potential conflict of interest was reported by the author(s).

Additional information

Funding

This work was supported by the Natural Science Basic Research Plan in Shanxi Province of China, grant number: 2022JM-213, 2022JQ-412, 2021JQ-874.

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