Abstract: The service environment of the panel structure is complex, and it is often affected by a variety of excitations, affecting its normal use and safety. The viscoelastic panel system in subsonic airflow is taken as the research object, and its global dynamic characteristics under the combined action of external force, aerodynamic force and random noise is studied. Through the global bifurcation diagram, a series of complex dynamical behaviors such as crisis, inverse doubling bifurcation, etc., are observed in the system. The global properties such as the attractors, saddles and basins of attraction are obtained and the transient and steady-state probability density functions of the system response evolution process are solved by using the cell mapping method. The influence of excitation amplitude and frequency on the steady-state response of the panel is further discussed. It is found that the system in a determined situation presents complex global structures with the change of the excitation amplitude and viscoelastic parameters which further explains the mechanism of the crisis phenomenon. Whether transient or steady-state, the evolution direction of the stochastic response is always consistent with the unstable manifold shape of the deterministic system. Further, in the steady-state response of the structural system, the increase in the amplitude and frequency of the external excitation will lead to a decrease in the peak of the response probability density function. The research results have theoretical significance for the design of panel safety protection.

Key words: viscoelastic panel, cell mapping method, global dynamics, stochastic response