In-plane vibration analysis of cantilevered circular arc beams undergoing rotational motion |
| |
| Authors: | Guang Hui Zhang Zhan Sheng Liu Hong Hee Yoo |
| |
| Affiliation: | (1) School of Mechanical Engineering, Hanyang University, Seoul, China;(2) School of Energy Science and Engineering, Harbin Institute of Technology, Seoul, China;(3) School of Mechanical Engineering, Hanyang University, Seoul, China |
| |
| Abstract: | Equations of motion of cantilevered circular arc beams undergoing rotational motion are derived based on a dynamic modeling
method developed in this paper. Kane’s method is employed to derive the equations of motion. Different from the classical
linear modeling method which employs two cylindrical deformation variables, the present modeling method employs a non-cylindrical
variable along with a cylindrical variable to describe the elastic deformation. The derived equations (governing the stretching
and the bending motions) are coupled but linear, so they can be directly used for vibration analysis. The coupling effect
between the stretching and the bending motions, which could not be considered in the conventional modeling method, is considered
in this modeling method. The effects of rotational speed, arc angle, and hub radius ratio on the natural frequencies of the
rotating circular arc beam are investigated through numerical analysis. |
| |
| Keywords: | Circular arc beam In-plane vibration Rotational motion Hybrid modeling Stiffness variation Dimensionless parameter |
| 本文献已被 SpringerLink 等数据库收录！ |
|
