Abstract
In this paper we investigate one-dimensional force interactions, as they appear in multibody systems when force potentials are used. We present a decomposition of the force interactions leading to a classical continuous force law and a set-valued law which is expressed by a monotone step function. It is shown that the step function may be obtained by arranging unilateral primitives parallel to each other and in series, finally resulting in a complementarity formulation of the problem. As a result, combinations of unilateral primitives are recognized to be well-known force elements from practical applications.
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References
Elstrodt, J.: Mass-und Integrationstheorie, Springer-Verlag, Berlin, 1996.
Glocker, Ch.: The Principles of d’Alembert, Jourdain, and Gauss in Nonsmooth Dynamics. Part I: Scleronomic Multibody Systems, ZAMM 78(1) (1998), 21–37.
Glocker, Ch.: Dynamik von Starrkörper Systemen mit Reibung und Stössen, VDI-Fort-schrittb. Mechanik/Bruchmechanik, Reihe 18, Nr. 182, VDI-Verlag, Düsseldorf, 1995.
Moreau, J.J.: Unilateral Contact and Dry Friction in Finite Freedom Dynamics, Non-Smooth Mechanics and Applications, CISM Courses and Lectures, Vol. 302, Springer Verlag, Wien, 1988.
Moreau, J.J.: Bounded Variation in Time, Topics in Nonsmooth Mechanics, Birkhäuser Verlag, Basel, 1988.
Panagiotopoulos, P.D.: Hemivariational Inequalities. Applications in Mechanics and Engineering, Springer-Verlag, Berlin-Heidelberg, 1993.
Pfeiffer, F., and Glocker, Ch.: Multibody Dynamics with Unilateral Contacts, John Wiley & Sons, New York, 1996.
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© 1999 Springer Science+Business Media Dordrecht
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Glocker, C. (1999). Decomposition of Scalar Force Interactions. In: Pfeiffer, F., Glocker, C. (eds) IUTAM Symposium on Unilateral Multibody Contacts. Solid Mechanics and its Applications, vol 72. Springer, Dordrecht. https://doi.org/10.1007/978-94-011-4275-5_2
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DOI: https://doi.org/10.1007/978-94-011-4275-5_2
Publisher Name: Springer, Dordrecht
Print ISBN: 978-94-010-5853-7
Online ISBN: 978-94-011-4275-5
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