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Reduction Method Applied to Viscoelastically Damped Finite Element Models

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Book cover Design and Modeling of Mechanical Systems

Part of the book series: Lecture Notes in Mechanical Engineering ((LNME))

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Abstract

This paper is devoted to procedures for finite element modelling of structures incorporating viscoelastic materials, with emphasis placed on reduction methods intended for the reduction of the order of the finite elements matrices of the damped systems. This work focuses the use of Guyan reduction method. To account the frequency-dependant behaviour of viscoelastic materials, the Golla-Hughes-Mc-Tavish (GHM) model is used. The paper is organized as follows: introductory comments are first presented regarding the use of viscoelastic models and the procedures for their inclusion in the finite element structural matrices. Next, the studied Guyan reduction method is developed. Numerical simulations applied to beam and plate structures are presented to illustrate the use of Guyan reduction method applied to GHM damped finite element models. These examples will highlight the domain of validity of the proposed method, its performance and practical interest in the dynamic analysis of viscoelastically damped structures.

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References

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Author information

Authors and Affiliations

  1. Ecole Nationale d’Ingénieurs de Tunis, Université de Tunis El Manar, BP 37, 1002, Tunis, Belvédère, Tunisie

    Souhir Zghal & Rchid Nasri

  2. Institut Préparatoire aux Etudes d’Ingénieurs de Nabeul, Université de Carthage, 8000, M’rezga, Nabeul, Tunisie

    Souhir Zghal & Mohamed Lamjed Bouazizi

  3. Institut FEMTO ST UMR 6174, Département Mécanique Appliquée R.Chaléat, Université de Franche-Comté, 24 chemin de l’épitaphe, 25000, Besançon, France

    Noureddine Bouhaddi

Authors
  1. Souhir Zghal
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  2. Mohamed Lamjed Bouazizi
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  3. Rchid Nasri
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  4. Noureddine Bouhaddi
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Corresponding author

Correspondence to Souhir Zghal .

Editor information

Editors and Affiliations

  1. National School of Engineers of Sfax, Route de Soukra km 3.5, Sfax, 3038, Tunisia

    Mohamed Haddar

  2. National School of Engineers of Sousse, BP. 264, Sousse Erriadh, 4023, Tunisia

    Lotfi Romdhane

  3. National School of Engineers of Sfax, Route de Soukra km 3.5, BP. 1173, Sfax, 3038, Tunisia

    Jamel Louati

  4. National School of Engineers of Monastir, Avenue Ibn El Jazzar, Monastir, 5019, Tunisia

    Abdelmajid Ben Amara

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Zghal, S., Bouazizi, M.L., Nasri, R., Bouhaddi, N. (2013). Reduction Method Applied to Viscoelastically Damped Finite Element Models. In: Haddar, M., Romdhane, L., Louati, J., Ben Amara, A. (eds) Design and Modeling of Mechanical Systems. Lecture Notes in Mechanical Engineering. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-37143-1_15

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  • DOI: https://doi.org/10.1007/978-3-642-37143-1_15

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-37142-4

  • Online ISBN: 978-3-642-37143-1

  • eBook Packages: EngineeringEngineering (R0)

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