Abstract
The transverse vibration of an elastic disc, excited by a preloaded mass–damper–spring slider dragged around on the disc surface at a constant rotating speed and undergoing in-plane stick–slip oscillation due to friction, is studied. As the vertical vibration of the slider grows at certain conditions, it can separate from the disc and then reattach to the disc. Numerical simulation results show that separation and reattachment between the slider and the disc could occur in a low speed range well below the critical disc speed in the context of a rotating load. Rich nonlinear dynamic behaviour is discovered. Time–frequency analysis reveals the time-varying properties of this system and the contributions of separation and in-plane stick–slip vibration to the system frequencies. One major finding is that ignoring separation, as is usually done, often leads to very different dynamic behaviour and possibly misleading results.
Highlights
Elastic discs are key components in a wide range of mechanical applications such as rotors and stators in some engines, brakes and clutches, computer hard disc drives, and saws
The main purpose of the current paper is to investigate the friction-induced transverse vibration of a disc subjected to a rotating slider undergoing vertical vibration and in-plane stick–slip vibration
As the state of the system switches between stick and slip phases, and between separation and contact phases, the dynamic behaviour of the system needs to be obtained by solving three different sets of governing equations, which brings out some difficulties in the numerical computations
Summary
Elastic discs are key components in a wide range of mechanical applications such as rotors and stators in some engines, brakes and clutches, computer hard disc drives, and saws. Proposed a new model containing a rotating Kirchhoff plate and an idealised elastic pad, which was in friction contact with the rotating plate In that paper, both the inplane and bending vibration of the rotating plate due to distributed friction forces were investigated. Sinou [33] investigated the transient and stationary dynamics of a nonlinear automotive disc brake model due to friction He showed that more unstable modes took part in the transient vibration because of the nonlinearity and loss of contact at the friction surface. The main purpose of the current paper is to investigate the friction-induced transverse vibration of a disc subjected to a rotating slider undergoing vertical vibration and in-plane stick–slip vibration. 4, dynamic behaviour of the model is analysed and numerical results show that separation can happen during unstable vibration at a low rotating speed level. The evolutions of the frequencies of the system with time are studied through the short-time Fourier transform that reveals the time-varying nature of the whole system due to the transverse separation–reattachment and in-plane stick–slip events
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