Abstract
This work presents a new approach to the transient rolling contact of two-dimensional elastic bodies. Solutions will be obtained by minimizing a general B-differentiable function representing the equilibrium equations and the contact conditions at each time step. Inertial effects are not taken into account and the Boundary Element Method is used to compute the elastic influence coefficients of the surface points involved in contact.
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References
F. W. Carter. On the action of a locomotive driving wheel. Proc. Roy. Soc. Ser. A., 112: 151–157, 1926.
J. A. Gonzalez and R. Abascal. An algorithm to solve coupled 2d rolling contact problems. Int. J. Num. Meth. Engng, 49: 1143–1167, 2000.
J. J. Kalker. Transient phenomena in two elastic cylinders rolling over each other with dry friction. Jour. Appl. Mech., 37: 677–688, 1970.
J. J. Kalker. A minimun principle for the law of dry friction, with applications to elastic cylinders in rolling contact. part 2: Application to nonsteadily rolling elastic cylinders. Jour. Appl. Mech., 38: 881–887, 1971.
J. J. Kalker. Three-dimensional elastic bodies in rolling contact. Kluwer Academic Press, Dordrecht, 1990.
J. S. Pang. Newton’s method for b-differentiable equations. Math. Oper. Research, 15 (2): 311–341, 1990.
O. Reynolds. On rolling friction. Philosophical Transactions of the Royal Society of London, 1: 155–174, 1876.
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© 2002 Springer Science+Business Media Dordrecht
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Gonzalez, J.A., Abascal, R. (2002). A New Approach to the 2D Transient Rolling Contact Problem. In: Contact Mechanics. Solid Mechanics and Its Applications, vol 103. Springer, Dordrecht. https://doi.org/10.1007/978-94-017-1154-8_42
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DOI: https://doi.org/10.1007/978-94-017-1154-8_42
Publisher Name: Springer, Dordrecht
Print ISBN: 978-90-481-6099-0
Online ISBN: 978-94-017-1154-8
eBook Packages: Springer Book Archive