標題: Investigation on steady state deformation and free vibration of a rotating inclined Euler 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
關鍵字: Rotating inclined beam;Steady state deformation;Vibration;Natural frequency;Corotational formulation;Finite element method
公開日期: 1-十二月-2011
摘要: The steady state deformation and infinitesimal free vibration around the steady state deformation of a rotating inclined Euler beam at constant angular velocity are investigated by the corotational finite element method combined with floating frame method. 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 rotating element coordinates rotate about the hub axis at the angular speed of the hub. The equations of motion of the system are defined in terms of an inertia global coordinate system, which is coincident with a rotating global coordinate system rigidly tied to the rotating hub. 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 inclined beam. (C) 2011 Elsevier Ltd. All rights reserved.
URI: http://dx.doi.org/10.1016/j.ijmecsci.2011.08.011
http://hdl.handle.net/11536/14626
ISSN: 0020-7403
DOI: 10.1016/j.ijmecsci.2011.08.011
期刊: INTERNATIONAL JOURNAL OF MECHANICAL SCIENCES
Volume: 53
Issue: 12
起始頁: 1050
結束頁: 1068
顯示於類別:期刊論文


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