TITLE:
Kinematics of a 2D Asymmetric Nonlinear Oscillator
AUTHORS:
Haiduke Sarafian
KEYWORDS:
2D Nonlinear Oscillator, Computer Algebra System, Mathematica
JOURNAL NAME:
World Journal of Mechanics,
Vol.4 No.6,
June
27,
2014
ABSTRACT:
Motion of
a point-like massive particle under the influence of two nonidentical linear
springs conducive to an irregular planar oscillation is analyzed. For a two
dimensional oscillations the equation of motion is a coupled highly nonlinear
differential equation. The set of equations cannot be solved analytically. Utilizing
a Computer Algebra System (CAS) such as Mathematica [1]
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we solve the equations numerically. Kinematics of the particle is
presented. For a comprehensive visual understanding the oscillations are
simulated. We also include an extended atlas of useful two-dimensional
time-folded diagrams.