PSD による簡易計測システム試作のための振子運動の基礎解析(2): 数値解析

概要

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Prior to setting up a simple measurement system with PSD (Position Sensitive Detector) and the LabVIEWon PC (Personal Computer), a pre-study is made here of coupling oscillations of pendulums, that is, double pendulum,two pendulums coupled with spring, two double pendulums coupled with spring, the Blackburn pendulum and bifilarpendulums. For the equations of motion of bobs which are derived using Lagrange functions for the model pendulums,initial value problems are solved numerically for various cases of linear and nonlinear coupling oscillations which arefound to arise depending on the parameters involved and the initial conditions given. Several examples of couplingoscillations are shown as a typical example of long period energy transfer. The simple system with PSD was evaluated inview of the data measured in pendulums oscillations.
2009-01-31