揺動Atwood 機械の物理振子Model

概要

論文の詳細を見る
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 andrelating devices in detail, we may propose here some mechanical models to be analyzed numerically. A cage of elevatormay be regarded as a physical pendulum on a swinging Atwood's machine, for which the equations of motion with threedegrees of freedom are derived. Their periodic and chaotic solutions can be found numerically.
2011-01-31