TITLE:
Static Electric-Spring and Nonlinear Oscillations
AUTHORS:
H. Sarafian
KEYWORDS:
Static Electric-Spring, Nonlinear Oscillator, Mathematica
JOURNAL NAME:
Journal of Electromagnetic Analysis and Applications,
Vol.2 No.2,
March
15,
2010
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.