스프링 지지를 받으며 끝 단 질량과 함께 축방향으로 이동하는 보의 동적 거동 해석

Abstract

In this study, the dynamic analysis of an axially moving beam with a tip mass supported by springs are analyzed. The equations of motion for the rigid-body and flexible motion are derived by using the Hamilton’s principle. These partial differential equations are transformed into the weak forms. Using the Galerkin method, these weak forms are discretized. The natural frequency and mode shape for the variation of the tip mass, spring position, and spring constant are investigated by solving an eigenvalue problem. Therefore, we found the change of veering phenomenon of the natural frequency, and the characteristics of the mode shape on the veering region. In addition, the characteristics of the dynamic behavior of an axially moving beam are analyzed.