考虑多维相关性的飞行器结构载荷不确定性分析  

Uncertainty analysis of aircraft structures load considering multi-dimensional correlation

作　　者：邱宇 邱志平[1] Qiu Yu;Qiu Zhiping(School of Aeronautic Science and Engineering,Beihang University,Beijing 100191,China;Shenyuan Honors College,Beihang University,Beijing 100191,China)

机构地区：[1]北京航空航天大学航空科学与工程学院,北京100191 [2]北京航空航天大学高等理工学院,北京100191

出　　处：《空天技术》2023年第2期66-74,共9页Aerospace Technology

基　　金：国家自然科学基金(12132001,52192632)。

摘　　要：飞行器结构载荷预测在其总体设计中具有重要地位。建立了一种考虑多维不确定性参数相关性的飞行器结构载荷不确定性分析方法。通过有限元计算并基于切比雪夫多项式建立了结构载荷响应的一维和二维近似函数。利用高维模型表示方法建立了关于所有输入不确定性变量的近似代理模型。采用全局优化算法求得代理模型响应的最值,从而获得了结构载荷响应的区间上下界。与蒙特卡洛方法结果进行对比,证实了所提方法的有效性和准确性。Load prediction of the aircraft structure has an important position in the overall design.A load uncertainty analysis method considering multi-dimensional uncertainty parameter correlation is established for the aircraft structure.The one-dimensional and two-dimensional approximation functions of the structural load response are established by finite element calculations and based on Chebyshev polynomials.The High Dimensional Model Representation(HDMR)method is used to establish an approximate surrogate model for all input uncertainty variables.The global optimization algorithm is used to find the optimal value of the proxy model response,so as to obtain the upper and lower bounds of the interval of the structural load response.Comparison with the results of the Monte Carlo method confirms the validity and accuracy of the proposed method.

关 键 词：飞行器结构载荷 区间不确定性 多维相关性 高维模型表示方法 代理模型方法 优化算法 

分 类 号：V414.1[航空宇航科学与技术—航空宇航推进理论与工程]