Parametric Excitation in a Self-exciting System : 4th Report, Region of Subsuperharmonic Resonance of Order 2/3
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概要
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In a self-exciting system with the restoring force expressed as the product of a non-linear function of deflection and a periodic function of time, it is ascertained that parametric resonances and subharmonic resonances and moreover a subsuperharmonic resonance of order 2/3 occur. An approximate solution of subsuperharmonic resonance of order 2/3 and its stability are determined by a transformation into the rotating coordinates systems and the averaging method. In the neighborhood of the resonance, a vibration with beat character occurs and its amplitudes are approximately determined by obtaining a limit cycle. It is ascertained from numerical calculations that these approximate solutions qualitatively have high accuracy.
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