IDEAS home Printed from https://ideas.repec.org/a/gam/jmathe/v8y2020i7p1128-d382750.html
   My bibliography  Save this article

The Size-Dependent Thermoelastic Vibrations of Nanobeams Subjected to Harmonic Excitation and Rectified Sine Wave Heating

Author

Listed:
  • Ahmed E. Abouelregal

    (Department of Mathematics, College of Science and Arts, Jouf University, Al-Qurayyat 72388, Saudi Arabia
    Department of Mathematics, Faculty of Science, Mansoura University, Mansoura 35516, Egypt)

  • Marin Marin

    (Department of Mathematics and Computer Science, Transilvania University of Brasov, 500036 Brasov, Romania)

Abstract

In this article, a nonlocal thermoelastic model that illustrates the vibrations of nanobeams is introduced. Based on the nonlocal elasticity theory proposed by Eringen and generalized thermoelasticity, the equations that govern the nonlocal nanobeams are derived. The structure of the nanobeam is under a harmonic external force and temperature change in the form of rectified sine wave heating. The nonlocal model includes the nonlocal parameter (length-scale) that can have the effect of the small-scale. Utilizing the technique of Laplace transform, the analytical expressions for the studied fields are reached. The effects of angular frequency and nonlocal parameters, as well as the external excitation on the response of the nanobeam are carefully examined. It is found that length-scale and external force have significant effects on the variation of the distributions of the physical variables. Some of the obtained numerical results are compared with the known literature, in which they are well proven. It is hoped that the obtained results will be valuable in micro/nano electro-mechanical systems, especially in the manufacture and design of actuators and electro-elastic sensors.

Suggested Citation

  • Ahmed E. Abouelregal & Marin Marin, 2020. "The Size-Dependent Thermoelastic Vibrations of Nanobeams Subjected to Harmonic Excitation and Rectified Sine Wave Heating," Mathematics, MDPI, vol. 8(7), pages 1-13, July.
    • Handle: RePEc:gam:jmathe:v:8:y:2020:i:7:p:1128-:d:382750
    as

    Download full text from publisher

    File URL: https://www.mdpi.com/2227-7390/8/7/1128/pdf
    Download Restriction: no
    File URL: https://www.mdpi.com/2227-7390/8/7/1128/
    Download Restriction: no
    ---><---

    Citations

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


    Cited by:

    1. Maged Faihan Alotaibi & Eied Mahmoud Khalil & Mahmoud Youssef Abd-Rabbou & Marin Marin, 2022. "The Classicality and Quantumness of the Driven Qubit–Photon–Magnon System," Mathematics, MDPI, vol. 10(23), pages 1-11, November.
    2. Abdulkafi M. Saeed & Kh. Lotfy & Alaa A. El-Bary, 2022. "Effect of Variable Thermal Conductivity and Magnetic Field for the Generated Photo-Thermal Waves on Microelongated Semiconductor," Mathematics, MDPI, vol. 10(22), pages 1-18, November.
    3. Aatef Hobiny & Ibrahim Abbas, 2022. "Finite Element Analysis of Generalized Thermoelastic Interaction for Semiconductor Materials under Varying Thermal Conductivity," Mathematics, MDPI, vol. 10(24), pages 1-17, December.
    4. Abouelregal, Ahmed E. & Mohammed, Fawzy A. & Benhamed, Moez & Zakria, Adam & Ahmed, Ibrahim-Elkhalil, 2022. "Vibrations of axially excited rotating micro-beams heated by a high-intensity laser in light of a thermo-elastic model including the memory-dependent derivative," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 199(C), pages 81-99.
    5. Ammar Melaibari & Ahmed Amine Daikh & Muhammad Basha & Ahmed W. Abdalla & Ramzi Othman & Khalid H. Almitani & Mostafa A. Hamed & Alaa Abdelrahman & Mohamed A. Eltaher, 2022. "Free Vibration of FG-CNTRCs Nano-Plates/Shells with Temperature-Dependent Properties," Mathematics, MDPI, vol. 10(4), pages 1-24, February.
    6. Ahmed E. Abouelregal & Marin Marin & Fahad Alsharari, 2022. "Thermoelastic Plane Waves in Materials with a Microstructure Based on Micropolar Thermoelasticity with Two Temperature and Higher Order Time Derivatives," Mathematics, MDPI, vol. 10(9), pages 1-21, May.
    7. Xiao-Ting He & Meng-Qiao Zhang & Bo Pang & Jun-Yi Sun, 2022. "Solution of the Thermoelastic Problem for a Two-Dimensional Curved Beam with Bimodular Effects," Mathematics, MDPI, vol. 10(16), pages 1-22, August.

    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:8:y:2020:i:7:p:1128-:d:382750. 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.