多数のおもりのついた円板の振動

概要

論文の詳細を見る
The free vibrations of uniform circular plates with a rigid ring or with some rigid weights or bars around their outer peripheries have been investigated by TAKAHASHI and others. They have obtained exact solutions, but have not entered into detail with respect to high order frepuencies and mode shapes.　In this paper, we investigate, over a wide range of frequencies, the free vibration of a uniform circular plate which is built in at the inner periphery and some rigid weights around outer periphery by Ritz's method. Specially,we study mode shapes of the vibration which have not been entered into detail in above-mentioned papers. We also obtain the exact solution.　The solutions obtained by Ritz's method are compared with exact ones. We recognize that both solutions are in excellent agreement in the lower range of frequencies.
山形大学の論文
1973-01-20