2 点吊り振子と小振子の非線形連成運動の解析(1)

概要

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A bifilar suspension pendulum, a uniform density bar suspended at its two ends by two strings of same length,may swing in a vertical plane or rotate about a vertical axis. The period and pattern of swinging depend upon the ratios ofthe bar length and of the distance of the supporting points to the distance between two end points of the strings attached toan upper wall. The swinging in a co-plane of the strings and the bar is called mode 1, and the swinging in a vertical planeperpendicular to the bar is mode 2. Mode 3 is the torsional oscillation about a vertical axis. In mode 1, the bar with a smallpendulum swings as in parallelogram shape, which can be treated as double pendulum and gives rise to internal resonancedue to the third order nonlinearity. Based on linear dispersion relation, weakly nonlinear coupling oscillation is examinedin detail. This mechanism is analyzed numerically in this report.
2011-01-31