Boundary detection of nonlinear chaotic vibration responses

Nonlinear vibration isolation systems can be applied to control the line spectral at low frequency as operating in chaotic vibration station. In this paper , the chaotic characteristic of nonlinear vibration isolation system near boundary of nonlinear chaotic vibration is studied, and the boundary detection methods are given out. Dynamics of nonlinear vibration isolation systems are analyzed near chaotic vibration boundary. Near the boundary, the sensitivity of the amplitude of the periodic orbits to the bifurcation parameter becomes infinitely large while the amplitude itself remains finite, or though the sensitivity is not as steep, there are secondary resonant peaks in the power spectrum in addition to those of the multiples of periodic orbits. These two types of prominent features can serve as precursors of chaotic vibration response. Finally, the experiments are carried out on a nonlinear isolation system platform. The results show that the characteristic of vibration responses near boundary of nonlinear chaotic vibration. Based on the boundary identification methods, the control strategies can be built to keep the nonlinear vibration isolation system in chaotic vibration state.