基于多项式混沌展开方法的翼伞飞行不确定性

doi:10.3969/j.issn.1000-1093.2021.07.006

摘要/Abstract

摘要： 针对翼伞飞行性能的不确定性量化评估问题，基于多项式混沌展开(PCE)方法，提出翼伞系统模型参数不确定性分析方法。建立含有不确定性参数的翼伞系统9自由度多体动力学模型，并利用PCE方法建立代理模型来逼近翼伞系统非线性动力学模型。分析不同PCE模型阶数和样本点数量对计算结果的影响，综合考虑计算精度和效率，给出适用于翼伞飞行不确定性分析的PCE模型。分别利用PCE方法和Monte Carlo方法研究气动力参数不确定性对某小型翼伞系统飞行的影响。仿真结果表明，PCE方法可以达到与Monte Carlo方法相同的计算精度且具有更高的计算效率，验证了该方法对翼伞系统飞行不确定性分析的有效性。

关键词: 翼伞精确空投系统, 多项式混沌展开, 多体系统动力学, 不确定性分析

Abstract: A parameter uncertainty analysis method is proposed based on polynomial chaos expansions (PCE) method for the uncertainty quantification problem of parafoil flight performance. A nine-degrees-of-freedom multibody dynamics model of parafoil system with random parameters is established, and a proxy model is established to approximate the nonlinear dynamics model of parafoil system by using the PCE method. The influences of different PCE orders and sample sizes on the calculation results are analyzed. Considering the calculation accuracy and efficiency, a PCE model suitable for parafoil-flight uncertainty analysis is proposed. The simulated results show that the PCE method can achieve the same calculation accuracy and has higher efficiency compared with the Monte Carlo method, which verifies the effectiveness of the PCE method for the flight uncertainty analysis of parafoil system. For a small parafoil system, the PCE method is used to study the influence of aerodynamic parameters uncertainty on the distribution and deviation of landing points.

Key words: parafoilprecisionairdropsystem, polynomialchaosexpansion, multi-bodysystemdynamics, uncertaintyanalysis

中图分类号:

V211.59

刘安民，高峰，张青斌，袁天保，张国斌. 基于多项式混沌展开方法的翼伞飞行不确定性[J]. 兵工学报, 2021, 42(7): 1392-1399.

LIU Anmin, GAO Feng , ZHANG Qingbin, YUAN Tianbao, ZHANG Guobin. Application of PCE Method in Parafoil-flight Uncertainty Analysis[J]. Acta Armamentarii, 2021, 42(7): 1392-1399.

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