基于参数不确定性的机翼颤振风险评定  

Exploring Wing Flutter Risk Assessment with Parametric Uncertainty

作　　者：李毅[1] 杨智春[1] 

机构地区：[1]西北工业大学航空学院,陕西西安710072

出　　处：《西北工业大学学报》2010年第3期458-463,共6页Journal of Northwestern Polytechnical University

基　　金：国家自然科学基金(10672135);高等学校学科创新引智计划(B07050)资助

摘　　要：随着飞机设计的发展,结构非线性颤振问题越来越突出,为了准确评价系统的颤振稳定性,不但要采用非线性颤振计算模型,同时还必须考虑模型中参数的不确定性,面对这些具有随机分布的参数,传统的确定性颤振分析方法已不能胜任;为了探索一套新的,且适合研究非线性和不确定性相互耦合的颤振计算分析方法,文中选取具有非线性扭转刚度的二元机翼颤振系统为研究对象,将概率统计学中的蒙特卡罗方法和核密度估计法结合确定性颤振分析,开展不确定性量化工作,并得到给定速度下系统发生颤振的概率,进而对系统的颤振风险进行评定。并给出算例中非线性扭转刚度表现为软弹簧特性时,不同速度下发生颤振的概率,从而说明系统在不同速度下的颤振风险。Aim. Ref. 4 by C. L. Pettit studied the problem in the title without giving the probability of the occurrence of the flutter. We explore the method of calculating such probability. Section 1 of the full paper explains our method of flutter analysis, including the risk of the occurrence of flutter, which we call flutter probability for short. Its core is that we combine the traditional determinate analysis with the Monte Carlo simulation and the kernel density estimation to study these uncertain parameters, and carry out the uncertainty quantification. Soction 2 gives a numerical example, whose calculated results are presented in Figs. 3, 4 and 5 ; Fig. 5 gives the flutter probability results when the velocity is close to the flutter point.

关 键 词：颤振 概率 不确定性量化 风险估计 颤振概率 

分 类 号：V211.47[航空宇航科学与技术—航空宇航推进理论与工程]