Global dynamics and noise-induced transitions for a two-dimensional panel system in subsonic flow

A two-dimensional panel in subsonic flow with stochastic excitation is studied by assuming that the aerodynamic pressure contains random pressure fluctuations. Based on the global properties, the sensitivities of system parameters and noise intensities are presented. Firstly, the parameter region with multiple coexisting attractors under different dynamic pressures is obtained. It is found that the coexistence of multiple attractors extensively appears and the basin structure may be complex. Then the periodic time history diagrams are calculated by simulating the random pressure fluctuation as Poisson white noise. The results show that under typical bistable conditions, the noise sensitivity of the subsonic panel system is related to the basin structures and the disposition of the coexisting attractors to the saddle. The transition between two attractors diffuses along the unstable manifold and tends to the position where the basin boundary curvature is relatively large. The findings underscore the importance of global analysis in assessing the noise load carrying capacity, which provides some valuable insights into the safety design of subsonic panel systems.