On a Model of a Ball in Cluster Impact Problems in Granular Mechanics

Abstract

The nonlinear damping model introduced by Simon[1] combined with the Hertz model of contact elastic forces is applied to a two- and a multi-ball chain-type system (Newton’s Cradle). The numerical investigation is focused on inter-dependence between the numerical efficiency and accuracy for two- and a multi-ball system. An error control damping is introduced, which allows increased computational efficiency and at the same time error reduction.