Abstract
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.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
