工学数理の演習問題の更新(4): 曲面cos(x) と−cosh(x) 上の棒の運動

概要

論文の詳細を見る
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 rigid barrocks on a curved surface given by cosine or minus hyperbolic cosine function. It works as a horizontal physical pendulumwhose linear eigen-mode can be derived from Lagrange function and the equation of motion. The period of oscillation inlinear and nonlinear stage is checked numerically by solving its initial value problem. It is shown that large amplitude ofoscillation of a bar on two above-convex surfaces makes interesting features which may be applied to detect surface shapes.
2011-01-31