Structural Engineering and Mechanics

  • 제30권4호
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  • Pages.427-444
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  • 2008
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  • 1225-4568(pISSN)
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  • 1598-6217(eISSN)
테크노프레스 (Techno-Press)
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DOI QR코드

DOI QR Code

Dynamics of a rotating beam with flexible root and flexible hub

  • Al-Qaisia, A.A. (Mechanical Engineering Department, Faculty of Engineering and Technology, University of Jordan)
  • 투고 : 2006.10.13
  • 심사 : 2008.09.11
  • 발행 : 2008.11.10
⟨ 이전 논문 다음 논문 ⟩

초록

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.

키워드

참고문헌

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  2. Minimum Diameter of Optimally Located Damping Wire to Maximize the Fundamental Frequencies of Rotating Blade Using Timoshenko Beam Theory vol.21, pp.7, 2021, https://doi.org/10.1142/s0219455421500905
  3. Finite element based stress and vibration analysis of axially functionally graded rotating beams vol.79, pp.1, 2008, https://doi.org/10.12989/sem.2021.79.1.023