標題: | A Corotational Finite Element Method Combined with Floating Frame Method for Large Steady-State Deformation and Free Vibration Analysis of a Rotating-Inclined Beam |
作者: | Tsai, Ming Hsu Lin, Wen Yi Zhou, Yu Chun Hsiao, Kuo Mo 機械工程學系 Department of Mechanical Engineering |
公開日期: | 2011 |
摘要: | A corotational finite element method combined with floating frame method and a numerical procedure is proposed to investigate large steady-state deformation and infinitesimal-free vibration around the steady-state deformation of a rotating-inclined Euler beam at constant angular velocity. The element nodal forces are derived using the consistent second-order linearization of the nonlinear beam theory, the d'Alembert principle, and the virtual work principle in a current inertia element coordinates, which is coincident with a rotating element coordinate system constructed at the current configuration of the beam element. The governing equations for linear vibration are obtained by the first-order Taylor series expansion of the equation of motion at the position of steady-state deformation. Numerical examples are studied to demonstrate the accuracy and efficiency of the proposed method and to investigate the steady-state deformation and natural frequency of the rotating beam with different inclined angle, angular velocities, radius of the hub, and slenderness ratios. |
URI: | http://hdl.handle.net/11536/25905 http://dx.doi.org/10.1155/2011/146505 |
ISSN: | 1024-123X |
DOI: | 10.1155/2011/146505 |
期刊: | MATHEMATICAL PROBLEMS IN ENGINEERING |
Appears in Collections: | Articles |
Files in This Item:
If it is a zip file, please download the file and unzip it, then open index.html in a browser to view the full text content.