The dynamic analysis and vibration control of a kind of damping boring bar system with magnetorheological fluid absorber are studied. A two-degree-of-freedom dynamic model of boring bar with magnetorheological fluid dynamic vibration absorber is established, in which the magnetorheological fluid damper adopts the fractional-order Bingham model. The forced vibration of the system is studied, and the approximate analytical solution is obtained by the averaging method. By comparing the analytical solution with the numerical solution, the accuracy of the analytical solution is proved by their high degree of fit. And the parameters of boring bar system are optimized by using the analytical solution. To reduce the amplitude of the system, a semi-active control strategy of modified relative velocity method is used to suppress the resonance response of the boring bar. Under the semi-active relative velocity control, the approximate analytical solution of the system is also obtained by means of averaging method. The stability of the system under semi-active control is analyzed by using the Lyapunov method. Compared with passive control, the semi-active relative velocity control has a very great effect on the vibration amplitude suppression. The results can provide a reference for the study of dynamics and vibration control of the systems with magnetorheological fluid control.

研究了一种带磁流变流体吸收器的阻尼镗杆系统的动力学分析和振动控制。建立了带磁流变流体动力减振器的镗杆二自由度动力学模型，其中磁流变流体减振器采用分数阶Bingham模型。研究了系统的受迫振动，通过平均法得到了近似解析解。通过将解析解与数值解进行比较，证明解析解的准确性是由它们的高度拟合所证明的。并利用解析解对镗杆系统参数进行优化。为了减小系统的振幅，采用修正相对速度法半主动控制策略抑制镗杆共振响应。在半主动相对速度控制下，系统的近似解析解也是通过平均法得到的。利用Lyapunov方法分析了半主动控制下系统的稳定性。与被动控制相比，半主动相对速度控制对振幅的抑制作用非常大。研究结果可为磁流变流体控制系统的动力学和振动控制研究提供参考。利用Lyapunov方法分析了半主动控制下系统的稳定性。与被动控制相比，半主动相对速度控制对振幅的抑制作用非常大。研究结果可为磁流变流体控制系统的动力学和振动控制研究提供参考。利用Lyapunov方法分析了半主动控制下系统的稳定性。与被动控制相比，半主动相对速度控制对振幅的抑制作用非常大。研究结果可为磁流变流体控制系统的动力学和振动控制研究提供参考。