長方形枠組の振動モードについての研究

概要

論文の詳細を見る
The frequency equations and modes of vibration are studied for the rectangular frame work, of which pairs of opposite sides are same in dimensions and material. Assuming the modes of vibration in the rectangular plane, the differential equations of lateral and longitudinal vibrations are solved and the motions of the centre of gravity of the rectangle are discussed. The both symmetric and antisymmetric modes are assumed and by the combinations of these modes, the nine cases of vibrations are considered. If the slenderness ratios of sides of the rectangle are very large, the motions of the centre of gravity are always approximately zero, but for small slenderness ratios there are the vibrations with the motions of the centre of gravity. In the nine cases of vibrations which are considered, there are three cases which do not accompany the motions of the centre of gravity, and these three cases are the vibrations which is abie to occur in practice and one of the authors has also shown it by the other method, the Lagrangian minimum method.
山形大学の論文
1962-03-15