This paper presents friction-induced vibration (FIV) caused by combined mode-coupling and negative damping effects in a simple\nFIV model. In doing so, a new four-degree-of-freedom linear model which consists of a slider and a block is proposed and then\nsimulated using MATLAB/Simulink. Stability or instability of the FIV model is defined by the convergence or divergence of\ntime domain responses of the slider and the block. Having found critical slope of friction-velocity characteristics that generate\ninstabilities in the model, a conventional closed loop proportional-integral-derivative (PID) controller is first introduced into the\nmain model in order to attenuate the vibration level and subsequently to suppress it. Later, the model is integrated with the active\nforce control (AFC) element to effectively reject the disturbance and reduce the vibrations. It is found that the integrated PID-AFC\nscheme is effective in reducing vibration compared to the pure PID controller alone.Thus, the proposed control scheme can be one\nof the potential solutions to suppress vibration in a friction-induced vibration system.
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