气动弹性稳定性分析的伪谱延拓
Pseudospectral continuation for aeroelastic stability analysis
摘要：
本技术说明涉及气动弹性颤振问题：分析气动弹性系统经历空速相关的动态不稳定性。现有的参数稳定性分析延拓方法是基于沿空速参数行进直到找到颤振点--这种方法在颤振点被定位和表征之前，可能会浪费计算工作在低空速系统行为上。在这里，我们描述了一个伪谱连续的方法，而不是从系统的颤振点，从点的不稳定性，增加阻尼点，允许有效的表征系统的亚临界和超临界的行为。这种方法将气动弹性稳定性分析和抽象线性代数联系在一起，为计算实际的气动弹性稳定性提供了有效的方法，例如，基于最大模态阻尼的飞行包线和边界稳定区的位置。
英文摘要：
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.
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