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Free Vibration of Sandwich Nanobeam

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Advances in Acoustics and Vibration III (ICAV 2021)

Part of the book series: Applied Condition Monitoring ((ACM,volume 17))

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Abstract

Free vibration of sandwich nanobeam is presented in this chapter. The upper and lower sheets are modeled considering Euler-Bernoulli beam formulation and for the core the Timoshenko beam formulation is used taking into account the shear effect. The Non-dimensional procedure is used in order to simplify the analysis of governing equations. The sandwich nanobeam is modeled using Generalized Differential Quadrature (GDQ) method. The influence of the nonlocal parameter (NP) on the first three natural frequencies of Simply Supported - Simply Supported (SS-SS) sandwich nanobeam is discussed . For different edge conditions, mode shapes of the present sandwich nanobeam are discussed. It can be noted that deflection shapes are touched by increasing the NP. For the C-C sandwich nanobeam, natural frequencies are higher than the SS-SS one. Variation of the nonlocal parameter (NP) on the frequencies of the sandwich nanobeam is also investigated for different length . It can be observed that the first frequency have not an important effect for different length, for that, we move to present the second frequency. With increasing the NP the natural frequency decreases clearly. Explication can be regarded as the dispersive behavior of frequencies. The present model can be used as guideline for applications of sandwich nanostructures.

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Author information

Authors and Affiliations

  1. Laboratory of Mechanical Modeling and Production (LA2MP), National School of Engineers of Sfax, Sfax, Tunisia

    Nouha Kammoun, Nabih Feki, Slim Bouaziz & Mohamed Haddar

  2. Higher Institute of Applied Sciences and Technology of Sousse, University of Sousse, 4003, Sousse, Tunisia

    Nabih Feki

  3. Laboratoire des Sciences des Procédés et des Matériaux (LSPM), Centre National de la Recherche Scientifique (CNRS), Université Paris 13 Sorbonne Paris Cité, Villetaneuse, France

    Mounir Ben Amar

  4. Laboratory of Applied Mechanics and Engineering (LMAI-ENIT), DGM ENSIT, High National School of Engineering of Tunis, Tunis, Tunisia

    Mohamed Soula

Authors
  1. Nouha Kammoun
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  2. Nabih Feki
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  3. Slim Bouaziz
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  4. Mounir Ben Amar
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  5. Mohamed Soula
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  6. Mohamed Haddar
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Editor information

Editors and Affiliations

  1. Higher Institute of Applied Sciences and Technology, University of Sousse, Sousse, Tunisia

    Nabih Feki

  2. National School of Engineers of Sfax, Sfax, Tunisia

    Mohamed Slim Abbes

  3. Faculty of Sciences, University of Sfax, Tunisia, Tunisia

    Mohamed Taktak

  4. National School of Engineers, University of Sfax, Tunisia, Tunisia

    Mohamed Amine Ben Souf

  5. National School of Engineers, University of Sfax, Sfax, Tunisia

    Fakher Chaari

  6. National School of Engineers of Sfax, Sfax, Tunisia

    Mohamed Haddar

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Kammoun, N., Feki, N., Bouaziz, S., Ben Amar, M., Soula, M., Haddar, M. (2021). Free Vibration of Sandwich Nanobeam. In: Feki, N., Abbes, M.S., Taktak, M., Amine Ben Souf, M., Chaari, F., Haddar, M. (eds) Advances in Acoustics and Vibration III. ICAV 2021. Applied Condition Monitoring, vol 17. Springer, Cham. https://doi.org/10.1007/978-3-030-76517-0_31

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  • DOI: https://doi.org/10.1007/978-3-030-76517-0_31

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-030-76516-3

  • Online ISBN: 978-3-030-76517-0

  • eBook Packages: EngineeringEngineering (R0)

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