IDEAS home Printed from https://ideas.repec.org/a/gam/jmathe/v10y2022i3p477-d740585.html
   My bibliography  Save this article

Analytical Solutions of Viscoelastic Nonlocal Timoshenko Beams

Author

Listed:
  • Francesco Paolo Pinnola

    (Department of Structures for Engineering and Architecture, University of Naples Federico II, Via Claudio 21, Ed. 6, 80125 Naples, Italy)

  • Raffaele Barretta

    (Department of Structures for Engineering and Architecture, University of Naples Federico II, Via Claudio 21, Ed. 6, 80125 Naples, Italy)

  • Francesco Marotti de Sciarra

    (Department of Structures for Engineering and Architecture, University of Naples Federico II, Via Claudio 21, Ed. 6, 80125 Naples, Italy)

  • Antonina Pirrotta

    (Department of Engineering, University of Palermo, Via E. Basile, 90128 Palermo, Italy)

Abstract

A consistent nonlocal viscoelastic beam model is proposed in this paper. Specifically, a Timoshenko bending problem, where size- and time-dependent effects cannot be neglected, is investigated. In order to inspect scale phenomena, a stress-driven nonlocal formulation is used, whereas to simulate time-dependent effects, fractional linear viscoelasticity is considered. These two approaches are adopted to develop a new Timoshenko bending model. Analytical solutions and application samples of the proposed formulation are presented. Moreover, in order to show influences of viscoelastic and size effects on mechanical response, parametric analyses are provided. The contributed results can be useful for the design and optimization of small-scale devices exhibiting flexural behaviour.

Suggested Citation

  • Francesco Paolo Pinnola & Raffaele Barretta & Francesco Marotti de Sciarra & Antonina Pirrotta, 2022. "Analytical Solutions of Viscoelastic Nonlocal Timoshenko Beams," Mathematics, MDPI, vol. 10(3), pages 1-14, February.
    • Handle: RePEc:gam:jmathe:v:10:y:2022:i:3:p:477-:d:740585
    as

    Download full text from publisher

    File URL: https://www.mdpi.com/2227-7390/10/3/477/pdf
    Download Restriction: no
    File URL: https://www.mdpi.com/2227-7390/10/3/477/
    Download Restriction: no
    ---><---

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Doaa Atta & Ahmed E. Abouelregal & Fahad Alsharari, 2022. "Thermoelastic Analysis of Functionally Graded Nanobeams via Fractional Heat Transfer Model with Nonlocal Kernels," Mathematics, MDPI, vol. 10(24), pages 1-24, December.
    2. Bekir Akgöz & Ömer Civalek, 2022. "Buckling Analysis of Functionally Graded Tapered Microbeams via Rayleigh–Ritz Method," Mathematics, MDPI, vol. 10(23), pages 1-13, November.
    3. Krzysztof Kamil Żur & Jinseok Kim & Junuthula N. Reddy, 2022. "Special Issue of Mathematics : Analytical and Numerical Methods for Linear and Nonlinear Analysis of Structures at Macro, Micro and Nano Scale," Mathematics, MDPI, vol. 10(13), pages 1-2, June.

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:gam:jmathe:v:10:y:2022:i:3:p:477-:d:740585. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    We have no bibliographic references for this item. You can help adding them by using this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: MDPI Indexing Manager (email available below). General contact details of provider: https://www.mdpi.com .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.