Free vibration analysis of a rotating Timoshenko beam by differential transform method

@inproceedings{Kaya2006FreeVA,
  title={Free vibration analysis of a rotating Timoshenko beam by differential transform method},
  author={Metin Orhan Kaya},
  year={2006}
}
Purpose – To perform the flapwise bending vibration analysis of a rotating cantilever Timoshenko beam. Design/methodology/approach – Kinetic and potential energy expressions are derived step by step. Hamiltonian approach is used to obtain the governing equations of motion. Differential transform method (DTM) is applied to solve these equations. Findings – It is observed that the rIVu term which is ignored by many researchers and which becomes more important as the rotational speed parameter… CONTINUE READING
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References

Publications referenced by this paper.
Showing 1-10 of 19 references

Dynamic stiffness formulation and free vibration analysis of centrifugally stiffened Timoshenko beams

  • J. R. Banerjee
  • Journal of Sound and Vibration,
  • 2001
Highly Influential
14 Excerpts

Analysis for slip over a single free disk with heat transfer

  • A. Arikoglu, I. Özkol
  • Journal of Fluids Engineering,
  • 2005
1 Excerpt

Flapwise bending vibration analysis of a rotating tapered cantilevered Bernoulli-Euler beam by differential transform method

  • O. Ozdemir, M. O. Kaya
  • Journal of Sound and Vibration,
  • 2005
1 Excerpt

Analysis of axial vibration of compound bars by differential transformation method

  • C. W. Bert, H. Zeng
  • Journal of Sound and Vibration,
  • 2004
1 Excerpt

Vibration analysis

  • Press, Wuhan
  • 2001

Further results for modal characteristics of rotating tapered Timoshenko beams

  • A. Bazoune, Y. A. Khulief, N. C. Stephen
  • Journal of Sound and Vibration,
  • 1999
1 Excerpt

Approximate formula for the frequencies of a rotating Timoshenko beam

  • V. T. Nagaraj
  • Journal of Aircraft,
  • 1996
1 Excerpt

A power series solution for vibrations of a rotating Timoshenko beam

  • H. Du, M. K. Lim, K. M. Liew
  • Journal of Sound and Vibration,
  • 1994
3 Excerpts

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