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    Kinematics of a 2D Asymmetric Nonlinear Oscillator

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    Date
    2014-06
    Author
    Sarafian Haiduke
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    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
    URI
    dx.doi.org/10.4236/wjm.2014.46020
    http://hdl.handle.net/123456789/1427
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    • Physics & Mathematics [63]

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