技術者教育のための計算流体力学教材の改定(4):非線形バネ振子の連成振動の多重尺度法による解析と数値解析

概要

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The bifilar suspension pendulum of a uniform bar suspended by two elasitic ropes has five oscillation modes:two swinging modes as in pendulums, one torsional oscillation mode and two elastic modes due to linear springs. Thegeometrical configuration of the bar, the ropes and the suspension points changes the oscillation period and causes nonlineareffects. As one of simplest nonlinear oscillations of spring pendulum, a swinging mode and elastic mode may give rise toprimary and high/sub harmonic resonance whose fundamental coupling mechanism is solved using the method of multiplescales. It is shown that this elastic mode may couple with the second swinging mode in various cases.
2012-01-31