Y.A. Khulief
Impulsive events, impact modelling, momentum balance
Impulsive responses often arise in mechanical systems due to col- lision, impact, joint clearances, machine tool interaction, and ma- terial handling processes. Impulsive events take place during very short-lived intervals, and are normally associated with redistribution of momentum. The redistribution of momentum may take place instantaneously or during a very short interval, thus giving rise to discontinuities in the system’s velocities. In this context, two mod- elling approaches are presented. The first approach adopts a smooth representation over the short-lived interval. In this case, the impul- sive event is modelled while taking into consideration the mechanics of the contacting bodies. The second is a discontinuous dynamic model, in which the impulsive event is assumed to take place at an instant of time. The corresponding instantaneous redistribution of momentum results in jump discontinuities in the system’s velocities, which are calculated to update the system state vector for starting the next interval. The merits of the two modelling approaches are stated in the light of numerical simulations.
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