揺動Wilberforce 振子の強制振動の基礎解析: 球面振子

概要

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In view of various types of pendulums provided at foreign universities and colleges, some representative educationmaterials are reexamined to show fundamental mechanical phenomena and to step up to higher level of PBL (Problem BasedLearning) resources for computational dynamics in the advanced engineering course. As one of such typical pendulums,Wilberforcependulum is taken up here, whose longitudinal and torsional modes of oscillation are known to arise from the nature ofcoil spring and may give rise to near resonance. The pendulum is allowed to swing in a spherical plane to lead the system tothree degrees of freedom. Nonlinear free oscillation is simulated at near resonance and near the critical. It is found that initialvalues of the swinging causes the coupling oscillation among the three oscillation modes and the near resonance occurs in thethree modes.
2010-01-31