Energy transfer and dissipation of a class of nonlinear absorber and its parameter design

Applying the cubic nonlinear energy sink (NES) to vibration suppression of structure, the best performance of vibration suppression can be obtained through proper choice and design of nonlinear stiffness. Based on the relationship of energy transfer and dissipation of non-conservative system, a method of nonlinear stiffness design is proposed to get the best performance of vibration suppression. According to the linear and cubic nonlinear stiffness, the feature of phase trajectories of conservative system is analyzed using the complex averaging method, and get the necessary condition of initial energy and mass ratio. The suppression effect of the stiffness of non-conservative system on linear system also is investigated, and the range of composite stiffness at the maximum dissipation efficiency is obtained based on the method proposed. The above analysis is verified by numerical simulations at last.