弾性支持された棒における節の配置に関する研究

抄録

In the typical textbook of vibration, only the classical boundary conditions (i.e., fixed and free) are explained. However, as the intermediate condition, there is an elastically supported boundary condition. In this study, as an attempt to find the optimal arrangement of nodes in the vibration of a continuous system, the second to fifth-order modes of the bar that is elastically supported at both ends were investigated. In order to change the position of a node, it is shown that the low order mode requires a support stiffness equal to the spring coefficient of the bar when it is considered as a spring. In higher-order modes, a support stiffness greater than the spring coefficient of the bar is required. The maximum displacement of a node is about one-third of the total length of the bar in the low-order mode and one-tenth of the total length of the bar in the high-order mode.