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A piecewise-conserved constant of motion for a dissipative system

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. http://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
Related URLs:
URLURL TypeDescription
http://dx.doi.org/10.1088/0143-0807/20/4/306DOIUNSPECIFIED
http://iopscience.iop.org/0143-0807/20/4/306/PublisherUNSPECIFIED
Additional Information:© 1999 IOP Publishing Ltd. Received 8 April 1999.
Subject Keywords:Condensed matter: structural, mechanical & thermal
Classification Code:PACS: 46.55.+d
Record Number:CaltechAUTHORS:20111213-092349432
Persistent URL:http://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:13 Dec 2011 23:29

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