揺動Atwood 機械の計算機力学のためのmodel: 物理振子

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 phenomena when onebody at its end swings in a vertical plane, which is referred to as swinging Atwood's machine (SAM) and makes periodic andchaotic motions. We revisited this mechanical device to make PBL (Problem Based Learning) resources and practice problemsfor computational dynamics in the advanced engineering course. Observing the early apparatus and relating devices in detail,we may propose here some mechanical models to be analyzed numerically. A cage of elevator may be regarded as a physicalpendulum on a swinging Atwood's machine. A big pulley conducts an asymmetric pendulum. Other models are also presentedto have deeper understanding on nonlinear mechanics and engineering applications.
2010-01-31