 | | Mechanics of Solids
A Journal of Russian Academy of Sciences | | Founded
in January 1966
Issued 6 times a year
Print ISSN 0025-6544
Online ISSN 1934-7936 |
Archive of Issues
| Total articles in the database: | | 12804 |
| In Russian (Èçâ. ÐÀÍ. ÌÒÒ): | | 8044
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| In English (Mech. Solids): | | 4760 |
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| Iqbal Kaur and Kulvinder Singh, "Forced Flexural Vibrations due to Time-Harmonic Source in a Thin Nonlocal Rectangular Plate with Memory-Dependent Derivative," Mech. Solids. 58 (4), 1257-1270 (2023) |
| Year |
2023 |
Volume |
58 |
Number |
4 |
Pages |
1257-1270 |
| DOI |
10.3103/S0025654423600538 |
| Title |
Forced Flexural Vibrations due to Time-Harmonic Source in a Thin Nonlocal Rectangular Plate with Memory-Dependent Derivative |
| Author(s) |
Iqbal Kaur (Faculty of Mathematics, Government College for Girls, Palwal, Kurukshetra, India, bawahanda@gmail.com)
Kulvinder Singh (Faculty of Engineering, UIET, Kurukshetra University, Haryana, India, ksingh2015@kuk.ac.in) |
| Abstract |
The In this paper, we study the forced flexural vibrations caused by time-harmonic concentrated loads on a transversely isotropic thin rectangular plate (TRP) with a memory-dependent derivative (MDD).This study not only considered the size effect but also studied the memory, mechanical, and thermal field effects. If only one of them is studied, one-sided conclusions may result. we develop a closed-form mathematical model for the thin plate based on the Green-Naghdi (GN) III theory and non-local generalized Kirchhoff’s love plate theory of thermoelasticity using MDD. With the double finite Fourier transform technique, expressions for lateral deflection, thermoelastic damping, temperature distribution, frequency shift, and thermal moment, have been found in the transformed domain for simply supported (SS) TRP. We have demonstrated the effectiveness of the MDD kernel function on the resultant quantities. |
| Keywords |
thin rectangular plate, memory-dependent derivative, non-local theory, thermoelastic damping, lateral deflection, frequency shift, thermal moment |
| Received |
04 April 2023 | Revised |
02 May 2023 | Accepted |
04 May 2023 |
| Link to Fulltext |
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