Dynamic analysis and vibration control of two-degree-of-freedom boring bar with fractional-order model of magnetorheological fluid

Abstract

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.