TY - JOUR
A2 - Soares, Delfim
AU - Tsai, Ming Hsu
AU - Lin, Wen Yi
AU - Zhou, Yu Chun
AU - Hsiao, Kuo Mo
PY - 2011
DA - 2011/08/04
TI - A Corotational Finite Element Method Combined with Floating Frame Method for Large Steady-State Deformation and Free Vibration Analysis of a Rotating-Inclined Beam
SP - 146505
VL - 2011
AB - 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 vibrationaround 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.
SN - 1024-123X
UR - https://doi.org/10.1155/2011/146505
DO - 10.1155/2011/146505
JF - Mathematical Problems in Engineering
PB - Hindawi Publishing Corporation
KW -
ER -