2 点吊り振子と物体の強制振動によるカオスの数値解析

概要

論文の詳細を見る
The position and attitude of a bifilar suspension pendulum on which a body is attached can be described in terms ofangular variables in polar coordinates. To simplify some complicated relations on the configuration of the pendulum, Taylorexpansion may be applied around its equilibrium rest state to lead to the equation of motion with nonlinear terms. Afterinvolving a linear damper and an external periodic force, the equation can be solved numerically as an initial value problem.For some ranges of the system parameters, regular periodic and chaotic motions can be found. Some typical examples of thechaotic motion are shown here to be caused by period doubling.
2010-01-31