Occurrence of stable periodic modes in a pendulum with cubic damping |
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Authors: | K I Thomas G Ambika |
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Institution: | (1) Department of Physics, Maharaja’s College, 682 011 Cochin, India |
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Abstract: | Dynamical systems with nonlinear damping show interesting behavior in the periodic and chaotic phases. The Froude pendulum
with cubical and linear damping is a paradigm for such a system. In this work the driven Froude pendulum is studied by the
harmonic balancing method; the resulting nonlinear response curves are studied further for resonance and stability of symmetric
oscillations with relatively low damping. The stability analysis is carried out by transforming the system of equations to
the linear Mathieu equation. |
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Keywords: | Harmonic balance Mathieu equation Froude pendulum resonance |
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