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A Corotational Finite Element Method Combined with Floating Frame Method for Large Steady-State Deformation and Free Vibration Analysis of a Rotating-Inclined Beam
Joint Authors
Zhou, Yu Chun
Lin, Wen Yi
Hsiao, Kuo Mo
Tsai, Ming Hsu
Source
Mathematical Problems in Engineering
Issue
Vol. 2011, Issue 2011 (31 Dec. 2011), pp.1-29, 29 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2011-08-04
Country of Publication
Egypt
No. of Pages
29
Main Subjects
Abstract EN
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.
American Psychological Association (APA)
Tsai, Ming Hsu& Lin, Wen Yi& Zhou, Yu Chun& Hsiao, Kuo Mo. 2011. A Corotational Finite Element Method Combined with Floating Frame Method for Large Steady-State Deformation and Free Vibration Analysis of a Rotating-Inclined Beam. Mathematical Problems in Engineering،Vol. 2011, no. 2011, pp.1-29.
https://search.emarefa.net/detail/BIM-449415
Modern Language Association (MLA)
Tsai, Ming Hsu…[et al.]. A Corotational Finite Element Method Combined with Floating Frame Method for Large Steady-State Deformation and Free Vibration Analysis of a Rotating-Inclined Beam. Mathematical Problems in Engineering No. 2011 (2011), pp.1-29.
https://search.emarefa.net/detail/BIM-449415
American Medical Association (AMA)
Tsai, Ming Hsu& Lin, Wen Yi& Zhou, Yu Chun& Hsiao, Kuo Mo. A Corotational Finite Element Method Combined with Floating Frame Method for Large Steady-State Deformation and Free Vibration Analysis of a Rotating-Inclined Beam. Mathematical Problems in Engineering. 2011. Vol. 2011, no. 2011, pp.1-29.
https://search.emarefa.net/detail/BIM-449415
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-449415