阵风响应问题的配点型区间分析方法

发布时间：2018-08-27 09:54

【摘要】：最新的先进飞行器设计进展已经认识到定义多种类型的不确定性的重要意义。现有的气动弹性理论面临的一个重要问题是如何处理阵风激励和结构中的不确定性参数。给出了弹性机翼构件受到阵风作用时的控制方程。考虑了阵风模型和机翼结构中存在的不确定性参数,将其用区间向量定量化并一元化处理,基于第一类Chebyshev正交多项式和区间配点方案,结合有限元计算方法,提出了一种阵风响应问题的配点型区间分析方法(CIAM),推导了配点型区间分析方法的数学表达式。该方法避免了计算响应函数对不确定性参数的灵敏度(偏导数),放宽了不确定性参数变化范围为小区间的要求。为解决含有不确定性参数的阵风响应问题提供了一种新的可行途径。通过与Taylor区间分析方法(TIAM)的比较,数值算例表明,该方法能够得到一个包含精确响应值的足够"紧"的阵风响应区间。显示了该方法的优越性,具有工程指导意义。
[Abstract]:Recent advances in the design of advanced aircraft have recognized the importance of defining multiple types of uncertainties. One of the most important problems facing the existing Aeroelastic theory is how to deal with the gust excitation and the uncertain parameters in the structure. The governing equations of elastic wing members subjected to gust are given. The uncertain parameters in the gust model and wing structure are considered. The interval vector is used to quantify the parameters and be unified. Based on the Chebyshev orthogonal polynomial of the first kind and the interval collocation scheme, the finite element method is combined. A collocation interval analysis method for gust response problem is presented. The mathematical expression of the collocation interval analysis method is derived by (CIAM),. This method avoids the sensitivity (partial derivative) of calculating the response function to the uncertain parameter, and relaxes the requirement that the uncertainty parameter varies in the range of small interval. It provides a new feasible way to solve the gust response problem with uncertain parameters. Compared with the Taylor interval analysis method (TIAM), the numerical example shows that the proposed method can obtain a sufficiently compact gust response interval with accurate response values. It shows the superiority of the method and has engineering guidance significance.
【作者单位】：北京航空航天大学航空科学与工程学院;
【基金】：国防基础科研项目(A0820132001,JCKY2013601B) 高等学校学科创新引智计划(B07009) 国家自然科学基金(11372025,11432002) 航空科学基金(2012ZA51010)~~
【分类号】：V211.47

【相似文献】