An efficient formulation for the simulation of elastic wave propagation in 1-dimensional collinding bodies (original) (raw)

This paper proposes an efficient formulation for the simulation of waves propagating in the down-the-hole percussive drilling systems typically used in mining applications. In particular, it treats the problem of elastic wave propagation in 1-dimensional colliding bodies. The presented algorithm performs the time integration of the equations of motion arising from the space semi-discretisation of the continuous problem by the Galerkin method, using a dissipative midpoint rule as to the time dimension, and builds its efficiency on the innovating handling of the contact opening/closure events. Specific to our approach is the use of an event-driven scheme to perform the time integration of the discrete equations of motion, combined with a penalty-based definition of the contact forces. This formulation, most adapted to systems presenting a low number of contact interfaces, takes its efficacy in the exploitation of the linearity of the governing equations between events, and is based on...