Static Electric-Spring and Nonlinear Oscillations
Abstract: The author designed a family of nonlinear static electric-springs. The nonlinear oscillations of a massively charged particle under the influence of one such spring are studied. The equation of motion of the spring-mass system is highly nonlinear. Utilizing Mathematica [1] the equation of motion is solved numerically. The kinematics of the particle namely, its position, velocity and acceleration as a function of time, are displayed in three separate phase diagrams. Energy of the oscillator is analyzed. The nonlinear motion of the charged particle is set into an actual three-dimensional setting and animated for a comprehensive understanding.
Keywords:
Static Electric-Spring,
Nonlinear Oscillator,
Mathematica
Cite this paper:
nullH. Sarafian, "Static Electric-Spring and Nonlinear Oscillations," Journal of Electromagnetic Analysis and Applications, Vol. 2 No. 2, 2010, pp. 75-81. doi: 10.4236/jemaa.2010.22011.
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