 | | 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: | | 13362 |
| In Russian (Èçâ. ÐÀÍ. ÌÒÒ): | | 8178
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| In English (Mech. Solids): | | 5184 |
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| Sudip Mondal, Rakhi Tiwari, Rajneesh Kumar, Saurav Sharma, Ahmed E. Abouelregal, and Vivek Tripathi, "Analysing Nano Resonator dynamics influenced from an oscillating thermal load in the framework of two temperature A-B fractional model," Mech. Solids. 60 (5), 3751-3768 (2025) |
| Year |
2025 |
Volume |
60 |
Number |
5 |
Pages |
3751-3768 |
| DOI |
10.1134/S002565442560206X |
| Title |
Analysing Nano Resonator dynamics influenced from an oscillating thermal load in the framework of two temperature A-B fractional model |
| Author(s) |
Sudip Mondal (Department of Mathematics,Basirhat College, West Bengal, India)
Rakhi Tiwari (University Department of Mathematics, Babasaheb Bhimrao Ambedkar Bihar University, Bihar, India, rakhitwari.rs.apm12@itbhu.ac.in)
Rajneesh Kumar (Kurukshetra University,Kurukshetra Department of Mathematics, Haryana, India)
Saurav Sharma (University of Houston,Cullen College of Engineering, Houston, TX77054 USA)
Ahmed E. Abouelregal (Department of Mathematics, College of Science, Sakak, 2014 Jouf University, Saudi Arabia; Department of Mathematics, Faculty of Science, Mansoura University, Mansoura, 35516 Egypt)
Vivek Tripathi (IIMT Group of Colleges, Greater Noida, Utar Pradesh, 201310 India) |
| Abstract |
This study investigates vibration phenomenon including thermocoupling effects in nanoscale resonators exposed to a fluctuating heat source. Mathematical model of the problem is established by employing the Atangana-Baleanu (A-B) fractional derivative within a two-temperature, three-phase-lag thermoelastic heat transfer model. The approach incorporates the non-singular Mittag-Leffler kernel associated with the A-B operator to account for memory-dependent effects, providing an enhanced representation of thermal and mechanical wave propagation in microscale systems. The governing equations for a clamped nano-resonator beam are solved analytically by using the Laplace transform technique, with numerical inversions carried out via the Riemann-sum approximation to determine the distributions of displacement, conductive and thermodynamic temperatures, and axial stress. Analysis of the significant parameters depicted through the graphical representations, highlights the crucial impacts of the A-B fractional parameter, two-temperature phenomena, and the angular frequency of the heat source on the thermophysical fields. The results align with trends observed in previous theoretical and computational studies, thereby confirming the model’s accuracy and its effectiveness in elucidating complex interactions within nanoscale resonators. These findings establish a solid foundation for optimizing the design and functionality of micro- and nano-electro-mechanical systems subjected to dynamic thermal loads. |
| Keywords |
Fractional derivative, Thermo-mechanical interactions, two temperature, Microscale systems, Non-singular kernel, Periodic heat source |
| Received |
27 April 2025 | Revised |
07 June 2025 | Accepted |
11 June 2025 |
| Link to Fulltext |
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