Suppression of nonlinear aeroelastic responses for a cantilevered trapezoidal plate in hypersonic airflow using an energy harvester enhanced nonlinear energy sink

A nonlinear energy sink (NES) enhanced by a giant magnetostrictive material (GMM) energy harvester is proposed to suppress the nonlinear aeroelastic responses of a cantilevered trapezoidal plate in hypersonic airflow. An analytical model of a cantilevered trapezoidal plate coupled to the NES-GMM system is obtained using the Rayleigh-Ritz approach and the affine transformation. Nonlinear aerodynamic loadings are obtained by applying the third-order piston theory. Comparisons of the dynamic bifurcation behaviors exhibited by plates with only the NES and by those with NES-GMM show that the latter has a better suppression effect. Using an energy-based analysis approach, the energy transfer mechanism between the plate and the NES-GMM system is examined. Numerical results show that the aeroelastic responses of the plate can be controlled substantially by the targeted energy transfer of the NES in the post-flutter regime. Some of the captured energy can be converted into magnetic energy by the Villari effect and then transformed into electric energy. Furthermore, a parametric design strategy is proposed to improve the nonlinear aeroelastic response suppression and enhance the performance of the NES-GMM. Numerical results indicate that the installation position, mass, damping, and nonlinear stiffness coefficients of the NES-GMM system significantly affect its suppression performance. This parametric design strategy can achieve the desired objectives of nonlinear aeroelastic response suppression.