Quantitative analysis of landing gear parametric uncertainty based on polynomial dimensional decomposition method

CUI Panli1, 2, 3, 4, HE Erming1, 2, SONG Dejun5, YANG Zhengquan2, 3, 4, WANG Binwen2, 3, 4

Journal of Vibration and Shock ›› 2025, Vol. 44 ›› Issue (7) : 286-292.

PDF(1861 KB)
PDF(1861 KB)
Journal of Vibration and Shock ›› 2025, Vol. 44 ›› Issue (7) : 286-292.
AERONAUTICS AND ASTRONAUTICS

Quantitative analysis of landing gear parametric uncertainty based on polynomial dimensional decomposition method

  • CUI Panli1,2,3,4, HE Erming*1,2, SONG Dejun5, YANG Zhengquan2,3,4, WANG Binwen2,3,4
Author information +
History +

Abstract

Uncertainty widely exists in manufacturing and processing of aircraft landing gear. Here, aiming at solving problem of buffering performance of aircraft landing gear, considering uncertainty of oil hole flow coefficient and gas variability index, firstly, a two-mass nonlinear dynamic equation of landing gear was established, a random surrogate model based on the polynomial dimensional decomposition (PDD) method was constructed, and dynamic analysis was performed. The results were compared with displacement mean and standard deviation obtained with Monte Carlo simulation and deterministic analysis to verify the correctness of PDD method in dealing with the nonlinear problem of landing gear dynamics. Subsequently, PDD method was used to analyze changes in mean, standard deviation and probability characteristics of two masses’ responses when oil hole flow coefficient and gas variability index taking different variation coefficients, and study effects of their uncertainties on solving landing gear buffering performance. It was shown that quantification of uncertain propagation of oil hole flow coefficient and gas variability index performed here can have certain reference significance for reliability design of landing gear buffering performance in future.

Key words

landing gear drop / non-linearity / uncertainty parameter / polynomial dimensional decomposition (PDD) method

Cite this article

Download Citations
CUI Panli1, 2, 3, 4, HE Erming1, 2, SONG Dejun5, YANG Zhengquan2, 3, 4, WANG Binwen2, 3, 4. Quantitative analysis of landing gear parametric uncertainty based on polynomial dimensional decomposition method[J]. Journal of Vibration and Shock, 2025, 44(7): 286-292

References

[1]焦振江.飞机起落架动态性能仿真分析研究[D].西安:西北工业大学,2007.
[2]MILWITZKY, BENJAMIN C, FRANCIS E. Cook. Analysis of Landing-Gear Behavior[J].1952.
[3]COOK F E,MILWIZKY B. Effect of interaction on landing-gear behavior and dynamic loads in a flexible airplane structure[R]. Washington D.C: Technical Report Archive & Image Library,1955.
[4]WAHI K M. Oleo-pneumatic shock strut dynamic analysis and its real-time simulation[J]. Journal of Aircraft,1976,13(4): 303-308.
[5]周瑞鹏,宋德军,陈熠.基于ALTLAS舰载机起落架落震缓冲性能分析[J]. 航空科学技术,2022,33(1): 91-97.
ZHOU Ruipeng, SONG Dejun, CHEN Yi. Analysis of landing gear shock absorption performance based on ALTLAS carrier based aircraft[J].Aviation Science and Technology, 2022, 33(1): 91-97.
[6]张飞,白春玉,陈熠,等.舰载机前起落架缓冲性能参数敏感性研究[J].振动工程学报,2024,37(3): 505-511.
ZHANG Fei, BAI Chunyu, CHEN Yi, et al. Sensitivity study of buffering performance parameters for front landing gear of carrier based aircraft[J]. Journal of Vibration Engineering, 2024,37(3): 505-511.
[7]朱晨辰,王彬文,马晓利,等.考虑温度效应的起落架落震缓冲性能研究[J].应用力学学报,2023,40(1): 25-33.
ZHU Chenchen, WANG Binwen, MA Xiaoli, et al. Study on the landing gear shock absorption performance considering temperature effect[J]. Journal of Applied Mechanics, 2023,40(1): 25-33.
[8]邱志平,王晓军,许孟辉.工程结构不确定优化设计技术[M].北京:科学出版社,2013.
[9]万华平,邰永敢,钟剑,等.多项式混沌展开和最大熵原理的结构动力特性不确定性量化[J].振动工程学报,2019,32(4): 574-580.
WAN Huaping, TAI Yonggan, ZHONG Jian, et al. Uncertainty quantification of structural dynamic characteristics using polynomial chaotic expansion and maximum entropy principle[J]. Journal of Vibration Engineering, 2019,32(4): 574-580.
[10]FISHMAN G. Monte Carlo: concepts, algorithms, and applications[M]. New York: Springer Science & Business Media, 2013.
[11]XIU D B. Numerical methods for stochastic computations: a spectral method approach[M]. Princeton: Princeton University Press, 2010.
[12]熊芬芬, 陈江涛, 任成坤, 等. 不确定性传播的混沌多项式方法研究进展[J]. 中国舰船研究, 2021, 16(4): 19-36.
XIONG Fenfen, CHEN Jiangtao, REN Chengkun, et al. Research progress on chaotic polynomial methods for uncertainty propagation[J]. Chinese Ship Research, 2021, 16(4): 19-36.
[13]CHEN J B, JIE L. Dynamic response and reliability analysis of non-linear stochastic structures[J]. Probabilistic Engineering Mechanics, 2005, 20(1): 33-44.
[14]赵岩,刘凡,孙晓旭.不确定结构时域响应分析的多项式维数分解法[J].计算力学学报,2021,38(6): 722-728.
ZHAO Yan, LIU Fan, SUN Xiaoxu. Polynomial dimension decomposition method for time domain response analysis of uncertain structures[J]. Journal of Computational Mechanics, 2021,38(6): 722-728.
[15]丁勇为,张子豪,魏小辉,等.油孔几何参数对起落架落震动力学的影响研究[J].航空计算技术,2018,48(1): 30-33.
DING Yongwei, ZHANG Zihao, WEI Xiaohui, et al. Study on the influence of geometric parameters of oil holes on landing gear drop vibration mechanics[J]. Aerospace Computing Technology, 2018, 48(1): 30-33.
PDF(1861 KB)

Accesses

Citation

Detail

Sections
Recommended

/