Structural Engineering and Mechanics

  • 제45권1호
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  • Pages.69-93
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  • 2013
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  • 1225-4568(pISSN)
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  • 1598-6217(eISSN)
테크노프레스 (Techno-Press)
권호 표지
DOI QR코드

DOI QR Code

On the dynamics of rotating, tapered, visco-elastic beams with a heavy tip mass

  • Zeren, Serkan (Department of Mechanical Engineering, Yeditepe University) ;
  • Gurgoze, Metin (Faculty of Mechanical Engineering, Technical University of Istanbul)
  • 투고 : 2012.01.12
  • 심사 : 2012.12.01
  • 발행 : 2013.01.10
⟨ 이전 논문 다음 논문 ⟩

초록

The present study deals with the dynamics of the flapwise (out-of-plane) vibrations of a rotating, internally damped (Kelvin-Voigt model) tapered Bernoulli-Euler beam carrying a heavy tip mass. The centroid of the tip mass is offset from the free end of the beam and is located along its extended axis. The equation of motion and the corresponding boundary conditions are derived via the Hamilton's Principle, leading to a differential eigenvalue problem. Afterwards, this eigenvalue problem is solved by using Frobenius Method of solution in power series. The resulting characteristic equation is then solved numerically. The numerical results are tabulated for a variety of nondimensional rotational speed, tip mass, tip mass offset, mass moment of inertia, internal damping parameter, hub radius and taper ratio. These are compared with the results of a conventional finite element modeling as well, and excellent agreement is obtained.

키워드

참고문헌

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피인용 문헌

  1. Benchmark analytical solutions from beams with shared eigenpair vol.106, 2016, https://doi.org/10.1016/j.ijmecsci.2015.12.017