基于多项式维数分解法的起落架参数不确定性量化分析

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振动与冲击 ›› 2025, Vol. 44 ›› Issue (7) : 286-292.

航空航天

基于多项式维数分解法的起落架参数不确定性量化分析

崔盼礼1,2,3,4，贺尔铭*1,2，宋得军5，杨正权2,3,4，王彬文2,3,4

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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

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文章历史 +

摘要

飞机起落架制造和加工过程中不确定性广泛存在，针对飞机起落架缓冲性能的求解问题，考虑油孔流量系数、气体多变指数的不确定性，首先建立了起落架二质量非线性动力学方程，构造了基于多项式维数分解(polynomial dimensional decomposition, PDD)方法的随机代理模型并进行了动力学分析，与蒙特卡洛模拟方法确定性分析得出的位移均值与标准差结果进行了对比，验证了PDD方法在处理起落架动力学这类非线性问题的正确性；后续使用PDD方法，分析油孔流量系数、气体多变指数在取不同的变异系数时二质量的响应均值、标准差以及概率特征的变化，研究二者的不确定性对起落架缓冲性能求解的影响。该研究所开展的油孔流量系数、气体多变指数不确定传播量化工作对后续起落架缓冲性能的可靠性设计具有一定的借鉴意义。

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.

导出引用

崔盼礼1, 2, 3, 4, 贺尔铭1, 2, 宋得军5, 杨正权2, 3, 4, 王彬文2, 3, 4. 基于多项式维数分解法的起落架参数不确定性量化分析[J]. 振动与冲击, 2025, 44(7): 286-292

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

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