Study on Lyapunov Exponential Spectrum Calculation Method of Nonlinear Characteristics of a Class of an Impact Damper

The global parameters-varying rules of the Lyapunov exponential spectrum on this system are analyzed by numerical simulations in this paper. The calculation method of Lyapunov exponential spectrum on a class of an impact damper vibration system is discussed by theoretical analysis and numerical calculation. Comparing the Lyapunov exponential spectrum diagram with the global bifurcation diagram, the validity and feasibility of this method of analyzing system stability using the Lyapunov exponential spectrum diagram is verified. Some nonlinear characteristics under relevant parameters of the impact damper are also given in the paper.