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Static Electric-Spring and Nonlinear Oscillations

DOI: 10.4236/jemaa.2010.22011, PP. 75-81

Keywords: Static Electric-Spring, Nonlinear Oscillator, Mathematica

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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.


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