2 点吊り振子の捩り振動の基礎解析(9): 捩りと上下振動の非線形特性

概要

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A uniform density bar is suspended at its two supporting points by two strings whose two end points are attachedto an upper static wall, and works as a bifilar suspension pendulum of three oscillation modes: two swinging modes andone torsional mode. The torsional mode of nonlinear oscillation is studied in this report, whose equation of motion includesstatic nonlinear term due to gravity potential energy and inertia type terms arising from kinetic energy which are negligiblefor linear oscillation. The static term acts as hardening/softening when the configuration of the pendulum is changed. Thisremarkable feature disappears as the inertia terms dominate. The response function of amplitude and angular frequency isobtained to the primary resonance using a modified method of multiple scales.
2014-03-31