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A generalized layerwise finite element for multi-layer damping treatments

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Abstract

This paper presents a 4-node facet type quadrangular shell finite element, based on a layerwise theory, developed for dynamic modelling of laminated structures with viscoelastic damping layers. The bending stiffness of the facet shell element is based on the Reissner–Mindlin assumptions and the plate theory is enriched with a shear locking protection adopting the MITC approach. The membrane component is corrected by using incompatible quadratic modes and the drilling degrees of freedom are introduced through a fictitious stiffness stabilization matrix. Linear static tests, using several pathological tests, showed good and convergent results. Dynamic analysis evaluation is provided by using two eigenproblems with exact analytical solution, as well as a conical sandwich shell with a closed-form analytical solution and a semi-analytical ring finite element solution. The applicability of the proposed finite element to viscoelastic core sandwich plates is assessed through experimental validation.

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Authors and Affiliations

  1. Departamento de Engenharia Mecânica, Universidade de Aveiro, Aveiro, Portugal

    R. A. S. Moreira

  2. Departamento de Engenharia Mecânica e Gestão Industrial, Faculdade de Engenharia da Universidade do Porto, Porto, Portugal

    J. D. Rodrigues & A. J. M. Ferreira

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  1. R. A. S. Moreira
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  2. J. D. Rodrigues
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  3. A. J. M. Ferreira
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Moreira, R.A.S., Rodrigues, J.D. & Ferreira, A.J.M. A generalized layerwise finite element for multi-layer damping treatments. Comput Mech 37, 426–444 (2006). https://doi.org/10.1007/s00466-005-0714-1

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  • DOI: https://doi.org/10.1007/s00466-005-0714-1

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