揺動Atwood 機械のためのModel: 非対称可変長振子

概要

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Atwood's machine is a representative device in mechanics, which George Atwood invented in 1784 as a laboratoryexperiment to verify the mechanical laws of uniformly accelerated motion. It performs very complex phenomenawhen one body at its end swings in a vertical plane, which is referred to as swinging Atwood's machine (SAM) and makesperiodic and chaotic motions. We revisited this mechanical device to make PBL (Problem Based Learning) resources andpractice problems for computational dynamics in the advanced engineering course. Observing the early apparatus and relatingdevices in detail, we may propose here some mechanical models to be analyzed numerically. A big pulley conductsan asymmetric pendulum, which is examined numerically and then is shown to make SAM complicated motions.
2011-01-31