楕円弧棒の平面内振動

概要

論文の詳細を見る
In this paper, the bending inextensional vibrations of elliptic arcs and an elliptic ring in their planes are investigated by the Ritz method. The boundary conditions of the arcs considered are (1) to be built-in at both ends and (2) to be built-in at one end and free at the other. To solve the problem, the authors obtain the Lagrangian of an elliptic arc in a period of its in-plane vibration, and from the minimum conditions of the Lagrangian they derive the frequency equations and modes of vibration. Numerical calculations for the frequencies and mode shapes are carried out for various ratios of the minor to major axis of the ellipse and some comparison of the calculated results with experimental results are made.
山形大学の論文
1975-02-20