Investigation of chattering behavior of impact damper

Abstract

Impact dampers are able to reduce vibration effectively through impacts and thus have wide applications in mechanical control. This work investigated the chattering behavior of a two-degree-of-freedom impact damper. Chattering is a phenomenon of continuous collisions within a short time. A theoretical model was developed to obtain the completing position and time of chattering. The fourth-order Runge-Kutta method was adopted to numerically solve the model. The results of bifurcation diagram and temporal map were obtained with different parameters, confirming the validity of the model. Furthermore, the model showed that viscosity is an important parameter separating the completing chattering from the non-completing chattering. The results demonstrated that the model can help solve chattering of impact damper by developing better understanding of the underlying mechanisms.

Interval of restitution coefficient for chattering in impact damper

“…5,6 Based on the numerical stimulation, the author discovered that there were observable chattering phenomenon in the motion trajectory under the condition of better damping performance, that is, chattering might probably be a new, effective approach for the impact damper to achieve good damping performance. 7 The term chattering refers to a condition when there are multiple or even endless times of collisions between the free mass and the main system in a short period of time. There is no available guidance on chattering studies in impact damper, at present.…”

Research on chattering occurrence condition in a vibro-impact system

“…Zhu and Luo 22 applied the numerical simulation method to their study on the chattering motion and its transition law of two degree of freedom with soft impacts. Du 23 developed a simplified two-degree-of-freedom model to obtain the chattering completion point and the chattering time in impact damper.…”

“…At present, the researches on chattering and viscosity seldom involve the damper and the existing research models have fixed constraints whose amplitudes have been limited to a certain range. 23 Since the constraint in impact damper is a free mass with unset position, an unfixed constraint model is needed. Therefore, the study of the chattering in impact damper in this paper differs significantly from the existing ones.…”