论文标题
伪谱延续用于航空弹性稳定性分析
Pseudospectral continuation for aeroelastic stability analysis
论文作者
论文摘要
该技术说明与气体弹性扑动问题有关：对空速依赖性动态不稳定性的气体弹性系统的分析。现有的参数稳定性分析的延续方法基于沿空速参数行进，直到找到颤动点为止 - 在扑波点的位置和表征之前，这种方法可能会浪费在低 - 艾艾器系统行为上的计算工作。在这里，我们描述了一种伪持续方法，该方法从系统的颤动点向外行进，从不稳定点到增加阻尼的点，从而有效地表征了系统的亚临界和超临界行为。这种方法将航空弹性稳定性分析和抽象线性代数联系在一起，并为计算实用的气动弹性稳定性特性提供了有效的方法 - 例如，基于最大模态阻尼的飞行信封以及边界稳定区域的位置。
This technical note is concerned with aeroelastic flutter problems: the analysis of aeroelastic systems undergoing airspeed-dependent dynamic instability. Existing continuation methods for parametric stability analysis are based on marching along an airspeed parameter until the flutter point is found - an approach which may waste computational effort on low-airspeed system behavior, before a flutter point is located and characterized. Here, we describe a pseudospectral continuation approach which instead marches outwards from the system's flutter points, from points of instability to points of increasing damping, allowing efficient characterization of the subcritical and supercritical behavior of the system. This approach ties together aeroelastic stability analysis and abstract linear algebra, and provides efficient methods for computing practical aeroelastic stability properties - for instance, flight envelopes based on maximum modal damping, and the location of borderline-stable zones.
