技術者教育のための工学数理の力学教材の改定(10):バネ振子の強制非線形振動の数値解析

概要

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A spring-pendulum is well known as one of typical examples of science education, which may swing with aelastic string of variable length. Near its static equilibrium state, two oscillation modes may arise independently, whichare not coupled even in their nonlinear stage. When it starts from initial values away from the equilibrium, the pendulummakes nonlinear coupling oscillations and leads to very complicated motions in swinging and rotation and then to chaos.If the suspension point changes sinusoidally in time, then the pendulum makes various types of oscillations. Externalexcitation, dampers and other mechanical effects may bring various motions of the pendulum. In addition, hysteresis andinternal resonance may arise due to the nonlinearity. Free oscillations, parametric excitation and excitation due to externalforces are shown in this report, by means of numerical computations.
沼津工業高等専門学校の論文
2009-01-31