Abstract
Different methods to model and solve multi-contact collisions are presented in this report. The standard impact constitutive laws from non-smooth dynamics are reviewed for planar frictional collisions and formulated in terms of set-valued maps and linear complementarity. For the frictionless case, a geometric concept based on kinematic, kinetic and energetic compatibility is developed, which provides access to non-standard impact events as in Newton’s cradle. Within this context, Moreau’s impact law is reviewed and stated in various ways, providing even access to the collision problem at re-entrant corner points as an extension. Based on Moreau’s law, a geometric classification of impacts is proposed. Several examples are presented, such as the frictional reversible impact at a super ball, Newton’s cradle and the rocking rod.
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Glocker, C. (2006). An Introduction to Impacts. In: Haslinger, J., Stavroulakis, G.E. (eds) Nonsmooth Mechanics of Solids. CISM International Centre for Mechanical Sciences, vol 485. Springer, Vienna. https://doi.org/10.1007/978-3-211-48243-8_2
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DOI: https://doi.org/10.1007/978-3-211-48243-8_2
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