技術者教育のための工学数理の力学教材の改定(16): 半円殻と半円柱の非線形振動の数値解析

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 (ProblemBased Learning) resources. As one of such typical pendulums, considered is a physical pendulum in which a semi-circularcylindrical shell or/and a semi-circular cylinder rocks on a horizontal plane. Given the mass density of physical pendulum,its mass, the center of gravity and the moment of inertia are modeled to make Lagrange function to describe the pendulummotion. Some types of practice problems for physical pendulums are proposed to give equations of motion. These physicalpendulums will be tested experimentally and numerically in following papers.
2011-01-31