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

Kulvinder Singh, Iqbal Kaur and Eduard-Marius Craciun ()
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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

Mathematics, 2023, vol. 11, issue 21, 1-13

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.

Keywords: transversely isotropic viscoelastic; beam; memory-dependent derivative; Moore–Gibson–Thompson model; thermoelastic damping; frequency shift (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2023
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