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An analytical approach for the vibration behavior of viscoelastic cylindrical shells under internal moving pressure

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Abstract

In the current paper, the vibrational behavior of viscoelastic cylindrical shells under moving internal pressure is studied, analytically. The viscoelastic behavior is considered as viscoelastic in shear and elastic in the bulk. The equations of motion are extracted based on the classical shell theory by applying Hamilton’s principle. These equations which are a system of coupled partial differential equations are solved by employing a closed form mathematic method, and the natural frequencies, the critical velocity, and response due to moving pressure are determined. Moreover, the effects of different geometric and viscoelastic parameters on the results are studied. The results are compared with the finite element analysis and the results available in the literature.

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Authors and Affiliations

  1. Faculty of Mechanical and Mechatronics Engineering, Shahrood University of Technology, Shahrood, Islamic Republic of Iran

    Hamidreza Eipakchi & Sepideh Ahmadi

  2. Faculty of Science, Technology and Environment, School of Engineering and Physics, The University of the South Pacific (USP), Suva, Fiji

    Farid Mahboubi Nasrekani

Authors
  1. Hamidreza Eipakchi
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  2. Farid Mahboubi Nasrekani
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  3. Sepideh Ahmadi
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Correspondence to Farid Mahboubi Nasrekani.

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Eipakchi, H., Nasrekani, F.M. & Ahmadi, S. An analytical approach for the vibration behavior of viscoelastic cylindrical shells under internal moving pressure. Acta Mech 231, 3405–3418 (2020). https://doi.org/10.1007/s00707-020-02719-2

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  • DOI: https://doi.org/10.1007/s00707-020-02719-2

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