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A non-standard finite element method for dynamical behavior of cylindrical classical shell model

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Abstract

This paper deals with the approximation of the dynamical behaviors of a cylindrical shell, modeled by the classical Naghdi shell’s mathematical model over a reference domain. We use a non-standard method so called MITC4-p finite element method, which comes from non standard mixed interpolated tensorial component (MITC) formulation for Reissner–Mindlin plates. The performance of this approach is assessed for both, the modal analysis of the free vibrations modes, and time-domain analysis of vibration responses. Some numerical experiments are presented to show the performance of the method, in particular, it is numerically observed that the method is completely locking free and independent of the thickness.

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Funding

This study was partially supported by the Chilean agency CONICYT under the projects FONDECYT 1140392, FONDECYT 11140212, and the European Union’s Horizon 2020 research and innovation programme under the Marie Sklodowska-Curie Grant Agreement No 644602.

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Authors and Affiliations

  1. Departamento de Matemática, Universidad Técnica Federico Santa María, Valparaíso, Chile

    E. Hernández & C. Spa

  2. Ausenco, Las Condes, Chile

    S. Surriba

Authors
  1. E. Hernández
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  2. C. Spa
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  3. S. Surriba
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Corresponding author

Correspondence to E. Hernández.

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The authors declare that they have no conflict of interest.

Additional information

Partially supported by the Chilean agency CONICYT under the projects FONDECYT 1140392, FONDECYT 11140212, and the European Union’s Horizon 2020 research and innovation programme under the Marie Sklodowska-Curie Grant Agreement No. 644602.

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Hernández, E., Spa, C. & Surriba, S. A non-standard finite element method for dynamical behavior of cylindrical classical shell model. Meccanica 53, 1037–1048 (2018). https://doi.org/10.1007/s11012-017-0774-2

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  • DOI: https://doi.org/10.1007/s11012-017-0774-2

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