基于飞行器模型的载荷不确定性分析  

Load uncertainties analysis based on aircraft model

作　　者：唐俪荧 邓忠民[1] Tang Liying;Deng Zhongmin(School of Astronautics,Beihang University,Beijing 100191,China)

机构地区：[1]北京航空航天大学宇航学院,北京100191

出　　处：《空天技术》2023年第2期48-57,共10页Aerospace Technology

基　　金：国家重点研发计划资助(2021YFC2202801)。

摘　　要：空天飞行器在全寿命期间,存在由于环境及载荷引起的各种不确定性。针对基于飞行器的数学模型,考虑载荷分析过程中涉及的多源不确定性,将已知区间变化范围但无法获知区间内具体分布的结构参数视为区间变量,将样本信息充足且具有统计特征的载荷参数视为随机变量。基于奇异函数法建立了飞行器的混合不确定分析模型,结合泰勒展开、纽曼展开、区间摄动法和随机矩法,发展了一种混合不确定分析方法;通过一个飞行器(二级导弹)算例验证了方法的准确性和有效性,分析了混合不确定性对飞行器模型载荷响应域的影响。Various uncertainties due to environment and loads exist during the whole life of an aerospace vehicle.Aiming at the mathematical model with the multi-source uncertainty based on the aircraft,the structural parameters with known interval variation range but unable to know the specific distribution within the interval are regarded as interval variables,and the load parameters with sufficient sample information and statistical characteristics are regarded as random variables.Based on the singular function method,a hybrid uncertain mathematical model of the aircraft is established.Combining Taylor expansion,Neumann expansion,interval perturbation method and random moment method,a hybrid uncertain analysis method is developed to solve load response.The accuracy and effectiveness of the method are verified with an aircraft(a two-stage missile)numerical example,and the effects of hybrid uncertainties on load response field of the aircraft model is analyzed.

关 键 词：奇异函数 区间变量 随机变量 混合随机区间模型 载荷分析 

分 类 号：V423[航空宇航科学与技术—飞行器设计]