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A piecewise-conserved constant of motion for a dissipative system

Lior M Burko

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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.


PACS

46.55.+d Tribology and mechanical contacts

Subjects

Condensed matter: structural, mechanical & thermal

Dates

Issue 4 (July 1999)

Received 8 April 1999



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