Pseudospectral Continuation for Aeroelastic Stability Analysis

This technical note is concerned with aeroelastic flutter problems: the analysis of systems undergoing airspeed-dependent dynamic instability. Existing continuation methods for parametric stability are based on marching along an airspeed parameter until point found - approach which may waste computational effort low-airspeed system behavior, before a located and characterized. Here, we describe pseudospectral instead marches outwards from system's points, points instability to increasing damping, allowing efficient characterization subcritical supercritical behavior system. ties together abstract linear algebra, provides computing practical properties instance, flight envelopes maximum modal location borderline-stable zones.