Burko, Lior M. (1999) A piecewise-conserved constant of motion for a dissipative system. European Journal of Physics, 20 (4). pp. 281-288. ISSN 0143-0807. doi:10.1088/0143-0807/20/4/306. https://resolver.caltech.edu/CaltechAUTHORS:20111213-092349432
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Abstract
We discuss a piecewise-conserved constant of motion for a simple dissipative oscillatory mechanical system. The system is a harmonic oscillator with sliding (dry) friction. The piecewise-conserved constant of motion corresponds to the time average of the energy of the system during one half-period of the motion, and changes abruptly at the turning points of the motion. At late times the piecewise-conserved constant of motion degenerates to a constant of motion in the usual sense.
| Item Type: | Article | |||||||||
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| Additional Information: | © 1999 IOP Publishing Ltd. Received 8 April 1999. | |||||||||
| Subject Keywords: | Condensed matter: structural, mechanical & thermal | |||||||||
| Issue or Number: | 4 | |||||||||
| Classification Code: | PACS: 46.55.+d | |||||||||
| DOI: | 10.1088/0143-0807/20/4/306 | |||||||||
| Record Number: | CaltechAUTHORS:20111213-092349432 | |||||||||
| Persistent URL: | https://resolver.caltech.edu/CaltechAUTHORS:20111213-092349432 | |||||||||
| Official Citation: | A piecewise-conserved constant of motion for a dissipative system Lior M Burko 1999 Eur. J. Phys. 20 281 | |||||||||
| Usage Policy: | No commercial reproduction, distribution, display or performance rights in this work are provided. | |||||||||
| ID Code: | 28436 | |||||||||
| Collection: | CaltechAUTHORS | |||||||||
| Deposited By: | Tony Diaz | |||||||||
| Deposited On: | 13 Dec 2011 23:09 | |||||||||
| Last Modified: | 12 Jul 2022 19:44 |
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