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Dynamic response of a beam carrying a lumped mass along its span

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Abstract

In this paper, we study the periodic solutions for the free vibration of a conservative oscillator with fifth-order nonlinearity using two new methods, the energy balance method and the variational approach. We compare the results obtained with those yielded by the traditional harmonic balance method and equivalent linearization–nonlinearization method. The periodic solutions are then verified using the Runge–Kutta approach.

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Authors and Affiliations

  1. Department of Structural Engineering, Faculty of Civil Engineering, Babol University of Technology, P. O. Box 494, Babol, Iran

    M. G. Sfahani

  2. Department of Civil Engineering, Aalborg University, Sohngårdsholmsvej 57, 9000, Aalborg, Denmark

    A. Barari

  3. Young Researchers Club, Science and Research Branch, Islamic Azad University, Tehran, Iran

    S. S. Ganji

  4. Department of Mechanical Engineering, Babol University of Technology, P.O. Box 484, Babol, Iran

    G. Domairry & Houman B. Rokni

Authors
  1. M. G. Sfahani
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  2. A. Barari
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  3. S. S. Ganji
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  4. G. Domairry
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  5. Houman B. Rokni
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Correspondence to S. S. Ganji.

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Sfahani, M.G., Barari, A., Ganji, S.S. et al. Dynamic response of a beam carrying a lumped mass along its span. Int J Adv Manuf Technol 64, 1435–1443 (2013). https://doi.org/10.1007/s00170-012-4113-4

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  • DOI: https://doi.org/10.1007/s00170-012-4113-4

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