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Two-Dimensional Rigid-Body Collisions With Friction
Abstract
This paper presents an analysis of a two-dimensional rigid-body collision with dry friction. We use Routh’s graphical method to describe an impact process and to determine the frictional impulse. We classify the possible modes of impact, and derive analytical expressions for impulse, using both Poisson’s and Newton’s models of restitution. We also address a new class of impacts, tangential impact, with zero initial approach velocity. Some methods for rigid-body impact violate energy conservation principles, yielding solutions that increase system energy during an impact. To avoid such anomalies, we show that Poisson’s hypothesis should be used, rather than Newton’s law of restitution. In addition, correct identification of the contact mode of impact is essential.
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Cited by
Hoomans, B. P. B., Kuipers, J. A. M., Briels, W. J., & van Swaaij, W. P. M. (1996) · Chemical Engineering Science · doi:10.1016/0009-2509(95)00271-5 · Cited by 1,019
Controlling the motion of multiple objects on a Chladni plate
Zhou, Q., Sariola, V., Latifi, K., & Liimatainen, V. (2016) · Nature Communications · doi:10.1038/ncomms12764 · Cited by 103
Metadata
- Authors
- Wang, Y., & Mason, M. T.
- Venue
- Journal of Applied Mechanics
- Publisher
- ASME International
- Published
- 1992-09-01
- Volume
- 59
- Issue
- 3
- Pages
- 635-642
- ISSN
- 0021-8936 (ISSN-L)
- 1528-9036
- OpenAlex
- W1968100378
- Cited by
- 308
- References
- 0
- FWCI
- 11.18
- Type
- journal article
- Language
- en
- Open access
- closed
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- Wang, Y., & Mason, M. T. (1992). Two-Dimensional Rigid-Body Collisions With Friction. Journal of Applied Mechanics. https://doi.org/10.1115/1.2893771
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Bibliographic data: Semantic Scholar, OpenAlex, Crossref.
Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
Semantic Scholar’s data is described in: Kinney, R., et al. (2023). The Semantic Scholar Open Data Platform. arXiv:2301.10140.
