Abstract：The dynamic model of a two-degree-of-freedom damping boring bar system was established considering the nonlinear factors of rubber ring and damping fluid.The erosion of the safe basin and bifurcation process of the system were studied.The influences of initial values on the system security and the evolution of the system parameters during the safe basin erosion were examined by numerical methods.Under the condition of certain parameters, two kinds of erosion processes of the safe basin mamely the fractal boundary erosion and smooth bound-ary erosion would occur in the system.The difference between the fractal boundary erosion and smooth boundary erosion was analyzed by the Top Lyapunov Exponent of the system during the erosion process of the safe basin.The results show that the Top Lyapunov Exponent of system will be more than zero, and the chaotic motion of the system will occur when the fractal boundary erosion appears.When the smooth boundary erosion appears, the corresponding Top Lyapunov Exponent will be always less than zero, and the chaotic motion of the system does not occur in the process of the safe basin erosion, however, the amplitude of the system vibration will increase and finally jump out of the safe area.The results are helpful to select the system parameters.
石建飞1，苟向锋1,2,张艳龙1. 两自由度减振镗杆系统的安全盆侵蚀与分岔[J]. 振动与冲击, 2018, 37(22): 238-244.
SHI Jianfei1,2， GOU Xiangfeng1,2， ZHANG Yanlong2. Erosion and bifurcation of the safe basin of a two-degree-of-freedom damping boring bar system. JOURNAL OF VIBRATION AND SHOCK, 2018, 37(22): 238-244.
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