Abstract
In this chapter we discuss discontinuity events that might occur in non-smooth mechanics. In particular, these are jumps in the velocities, usually associated with collisions and treated within impact theory, but also jumps in the accelerations as they appear, for example, at the transitions from sliding to stiction when dry friction is prevalent. Within the framework of integration we discuss the meaning of displacements, velocities and accelerations, and also their interconnections as stated in [91]. Special attention is paid to one-sided accelerations, as they will be used in all of the remaining chapters to state the directional Newton-Euler equations.
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© 2001 Springer-Verlag Berlin Heidelberg
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Glocker, C. (2001). Motion and Discontinuity Events. In: Set-Valued Force Laws. Lecture Notes in Applied Mechanics, vol 1. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-44479-4_4
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DOI: https://doi.org/10.1007/978-3-540-44479-4_4
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-53595-6
Online ISBN: 978-3-540-44479-4
eBook Packages: Springer Book Archive