2 点吊り振子の3 つのmode 間相互作用の解析(2)

概要

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A bifilar suspension pendulum, a uniform density bar suspended at its two points by two strings of same length,may swing in a vertical plane or make torsional oscillation about a vertical axis. The swinging in a co-plane of the stringsand the bar is called Mode 1, and the swinging in a vertical plane perpendicular to the bar is Mode 2. Mode 3 is thetorsional oscillation about a vertical axis. These modes are linearly independent of each other, but it is possible to makenonlinear coupling oscillation between the modes as super/sub-harmonic and internal resonance. In order to study suchcoupling systematically, the formulation of the problems is made on two spherical coordinates systems and equations ofmotion for the three modes are derived for future scientific and engineering applications in theory and experiments.
2012-01-31