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Nonlinear vibration analysis of harmonically excited cracked beams on viscoelastic foundations

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Abstract

The frequency response of a cracked beam supported by a nonlinear viscoelastic foundation has been investigated in this study. The Galerkin method in conjunction with the multiple scales method (MSM) is employed to solve the nonlinear governing equations of motion. The steady-state solutions are derived for the two different resonant conditions. A parametric sensitivity analysis is carried out and the effects of different parameters, namely the geometry and location of crack, loading position and the linear and nonlinear foundation parameters, on the frequency-response solution are examined.

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Authors and Affiliations

  1. Center of Excellence in Railway Transportation, School of Railway Engineering, Iran University of Science and Technology, Tehran, 16846-13114, Iran

    D. Younesian & S. R. Marjani

  2. Faculty of Engineering and Applied Science, University of Ontario Institute of Technology, Oshawa, Ontario, L1H 7K4, Canada

    E. Esmailzadeh

Authors
  1. D. Younesian
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  2. S. R. Marjani
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  3. E. Esmailzadeh
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Corresponding author

Correspondence to E. Esmailzadeh.

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Younesian, D., Marjani, S.R. & Esmailzadeh, E. Nonlinear vibration analysis of harmonically excited cracked beams on viscoelastic foundations. Nonlinear Dyn 71, 109–120 (2013). https://doi.org/10.1007/s11071-012-0644-3

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  • DOI: https://doi.org/10.1007/s11071-012-0644-3

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