揺動Atwood 機械の水平方向パラメトリック励振の数値simulation

概要

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Atwood's machine is a representative device in mechanics, but it performs very complex phenomena when one bodyat its end swings in a vertical plane, which is referred to as swinging Atwood's machine. This has been extensively studied byTufillaro and coworkers (N. B. Tufillaro, T. A. Abbott, and D. J. Griffiths, Swinging Atwood's Machine, American Journal ofPhysics 52 (10) (1984), pp.895-903) to reveal periodic and chaotic motions. We revisited this mechanical device to make PBL(Problem Based Learning) resources and practice problems for computational dynamics in the advanced engineering course.Parametric excitation of Atwood's pendulum may provide a new problem for practice, and horizontal excitation is numericallysolved in the present paper, for which we find out periodic and chaotic solutions.
2010-01-31