Symmetric and Asymmetric Multiple Impulsive Constraints Without Friction and Their Characterization

Abstract We present two meaningful and effective non-ideal constitutive characterizations for a multiple impulsive constraints $${\mathcal {S}}$$ S comprising finite number of frictionless codimension 1, described in the geometric setup given by space–time bundle {M}}$$ M mechanical system contact/impact with . Thanks to structures associated elements , we introduce symmetric characterization, that does not distinguish forming as regards behavior, an asymmetric one makes this distinction. Both provide generalization characterization ideal presented Pasquero (Q Appl Math 76(3):547–576, 2018). The iterative nature these allows introduction algorithms determining right velocity case single or once left are known. show effectiveness possible choices explicit implementations significant examples: simplified Newton’s cradle disk walls corner one.