Supersonic aeroelastic behaviors of the ferromagnetic panels in steady/harmonic magnetic field

The nonlinear aeroelastic dynamic responses and bifurcation behaviors of the ferromagnetic panel in steady/harmonic magnetic field under the supersonic airflow environment are investigated. The geometrical nonlinear effect of the ferromagnetic panel is depicted through the Von-Karman strain and the aerodynamic load is incorporated by the classical piston theory. Then, the reduced equations of motion are obtained and the Newmark method is used to determine the dynamic response with the Newton–Raphson iterative procedure for the nonlinear equilibrium equation at each time step. After examining the accuracy of the established mechanical model through numerical comparisons with experiment results and literature solutions, the main parametric studies focusing on the steady magnetic field strength, harmonic magnetic amplitude and frequency, dynamic pressure on nonlinear dynamic response are studied and the global bifurcation diagrams are given. Results show that the steady magnetic field leads to enhancement of the critical flutter dynamic pressure and a delaying of chaotic motion for the ferromagnetic panel. However, the harmonic magnetic field will complicate the motion type of the ferromagnetic panel and bring a chaotic state earlier.