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Structural Engineering and Mechanics
  Volume 30, Number 4, November10 2008, pages 427-444
DOI: http://dx.doi.org/10.12989/sem.2008.30.4.427
 


Dynamics of a rotating beam with flexible root and flexible hub
A. A. Al-Qaisia

 
Abstract
    A mathematical model for the nonlinear dynamics of a rotating beam with flexible root attached to a rotating hub with elastic foundation is developed. The model is developed based on the large planar and
flexural deformation theory and the potential energy method to account for axial shortening due to bending deformation. In addition the exact nonlinear curvature is used in the system potential energy. The Lagrangian dynamics and the assumed mode method is used to derive the nonlinear coupled equations of motion hub rotation, beam tip deflection and hub horizontal and vertical displacements. The derived nonlinear model is simulated numerically and the results are presented and discussed for the effect of root flexibility, hub stiffness, torque type, torque period and excitation frequency and amplitude on the dynamic behavior of the rotating beam-hub and on its stability.
 
Key Words
    rotating beam; flexible hub; flexible beam-root; non-linear dynamics; mathematical modelling.
 
Address
A. A. Al-Qaisia: Mechanical Engineering Department, Faculty of Engineering and Technology, University of Jordan, Amman 11942, JORDAN
 

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