Kinematics of a 2D Asymmetric Nonlinear Oscillator ()
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] 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.
Share and Cite:
Sarafian, H. (2014) Kinematics of a 2D Asymmetric Nonlinear Oscillator.
World Journal of Mechanics,
4, 197-201. doi:
10.4236/wjm.2014.46020.
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