论文部分内容阅读
研究弹性飞机在大气中飞行时受到阵风干扰后产生的结构响应,考虑飞机阵风响应问题分析中存在的不确定性参数,将其用区间向量定量化,基于区间扩张理论和Taylor级数展开,并结合有限元计算方法,提出了区间分析的方法来估计结构阵风响应的变化区间。该方法只需要知道不确定参数的所在范围界限,为解决含有不确定参数的阵风响应这类复杂的气动弹性动力学问题提供了一个途径。通过数值算例,将区间分析方法与概率方法的结果进行了比较,显示了区间分析方法的有效性。
The structure response of the flexible aircraft after being gusty when it is flying in the atmosphere is studied. Considering the uncertain parameters in the analysis of the aircraft gust response, the method is used to quantify the interval vector based on interval expansion theory and Taylor series expansion. Combined with the finite element method, a method of interval analysis is proposed to estimate the change interval of the structure gust response. This method only needs to know the limits of the range of the uncertain parameters and provides a way to solve the complex aerodynamic and elastic problems such as the gust response with uncertain parameters. By numerical examples, the results of interval analysis method and probability method are compared, which shows the validity of the method of interval analysis.