揺動Atwood 機械の数値simulation: 球面振子

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 (SAM). This has been extensivelystudied by Tufillaro and coworkers (N. B. Tufillaro, T. A. Abbott, and D. J. Griffiths, Swinging Atwood's Machine, AmericanJournal of Physics 52 (10) (1984), pp.895-903) to reveal periodic and chaotic motions. We revisited this mechanical device tomake PBL (Problem Based Learning) resources and practice problems for computational dynamics in the advanced engineeringcourse. As an extension from the original type of swinging Atwood machine, the pendulum may work as a spherical pendulum.This can be solved numerically based on the conservation of angular momentum of rotational mode, and some of the results arereported in the present paper.
2010-01-31