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Study of Transversely Isotropic Visco-Beam with Memory-Dependent Derivative

Author

Listed:
  • Kulvinder Singh

    (CSE Department, UIET, Kurukshetra University, Kurukshetra 136118, Haryana, India)

  • Iqbal Kaur

    (Department of Mathematics, Government College for Girls Palwal, Kurukshetra 136118, Haryana, India)

  • Eduard-Marius Craciun

    (Faculty of Mechanical, Industrial and Maritime Engineering, “Ovidius” University of Constanta, 900527 Constanta, Romania
    Academy of Romanian Scientists, IIfov Street, 030167 Bucharest, Romania)

Abstract

Based on the modified Moore–Gibson–Thompson (MGT) model, transversely isotropic visco-thermoelastic material is investigated for frequency shift and thermoelastic damping. The Green–Naghdi (GN) III theory of thermoelasticity with two temperatures is used to express the equations that govern heat conduction in deformable bodies based on the difference between conductive and dynamic temperature acceleration. A mathematical model for a simply supported scale beam is formed in a closed form using Euler Bernoulli (EB) beam theory. We have figured out the lateral deflection, conductive temperature, frequency shift, and thermoelastic damping. To calculate the numerical values of various physical quantities, a MATLAB program has been developed. Graphical representations of the memory-dependent derivative’s influence have been made.

Suggested Citation

  • Kulvinder Singh & Iqbal Kaur & Eduard-Marius Craciun, 2023. "Study of Transversely Isotropic Visco-Beam with Memory-Dependent Derivative," Mathematics, MDPI, vol. 11(21), pages 1-13, October.
    • Handle: RePEc:gam:jmathe:v:11:y:2023:i:21:p:4416-:d:1266897
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    References listed on IDEAS

    as
    1. Magdy A. Ezzat & Ahmed S. El-Karamany & Alaa A. El-Bary, 2015. "A novel magneto-thermoelasticity theory with memory-dependent derivative," Journal of Electromagnetic Waves and Applications, Taylor & Francis Journals, vol. 29(8), pages 1018-1031, May.
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