技術者教育のための工学数理の力学教材の改定(23): 環状振子の振動解析(1)

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 Based Learning) resources for Engineering Science and Computational Fluid Dynamics in the advanced engineeringcourse. As one of such typical pendulums, we solve a mechanical problem, in which a rigid ring swings arounda knife-edge or a circular cylinder, as a physical pendulum. Their equations of motion can be derived from Lagrangianfunction, and are numerically solved to give oscillation features. The experiments with small initial angles are made and theresults show good agreements with the periods theoretically predicted. Their nonlinear oscillations are tested theoretically.
2012-01-31