Journal of Geometry and Symmetry in Physics

Nonlinear 1-D Oscillations of a Charge Particle Under Coulomb Forces and Dry Friction

Giovanni Scarpello and Daniele Ritelli

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Abstract

We study the 1-D motions of a charge under Coulomb force, within the electrostatic approximation. When the electrostatic force is attractive, no oscillating motion takes place. When repulsive, nonlinear oscillations will arise. In both cases dry friction has been taken into account and time equations have been solved providing time as elliptic integrals of first and second kind. A short phase plane analysis has been included. The oscillation period has been exactly computed and found to increase versus the initial speed of the mobile.

Article information

Source
J. Geom. Symmetry Phys., Volume 34 (2014), 77-85.

Dates
First available in Project Euclid: 27 May 2017

Permanent link to this document
https://projecteuclid.org/euclid.jgsp/1495850589

Digital Object Identifier
doi:10.7546/jgsp-34-2014-77-85

Mathematical Reviews number (MathSciNet)
MR3236388

Zentralblatt MATH identifier
1300.78006

Citation

Scarpello, Giovanni; Ritelli, Daniele. Nonlinear 1-D Oscillations of a Charge Particle Under Coulomb Forces and Dry Friction. J. Geom. Symmetry Phys. 34 (2014), 77--85. doi:10.7546/jgsp-34-2014-77-85. https://projecteuclid.org/euclid.jgsp/1495850589


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