Article

Analysis of Thermoelastic Damping and Frequency Shift in Ultra-Small Rectangular Plates with Moore–Gibson–Thompson Heat Conduction via Nonlocal Strain Gradient Elasticity

Mohammad Ahmar KhanDepartment of MIS, CCBA, Dhofar University, Salalah, OmanArasu RamanFaculty of Business and Communications, INTI International University, Putra Nilai 71800, MalaysiaLayth HusseinDepartment of Computers Techniques Engineering, College of Technical Engineering, The Islamic University of Al Diwaniyah, Al Diwaniyah, IraqSabir WidatallaDepartment of Mathematics, Faculty of Science, University of Tabuk, P. O. Box 741, Tabuk 71491, Saudi ArabiaRamdevsinh JhalaDepartment of Mechanical Engineering, Faculty of Engineering and Technology, Marwadi University, Rajkot 360003, Gujarat, IndiaDamanjeet AulakhCentre of Research Impact and Outcome, Chitkara University, Rajpura 140401, Punjab, IndiaRahul SinghDepartment of Mechanical and Aerospace Engineering NIMS Institute of Engineering and Technology, NIMS University, Rajasthan, Jaipur, IndiaVarinder SinghPunjab Engineering CollegeA.G. SherovTashkent Institute of Irrigation and Agricultural Mechanization Engineers, National Research University, Tashkent, UzbekistanKDV PrasadSymbiosis Institute of Business Management, Hyderabad, India

International Journal of Structural Stability and Dynamicsjournal2025en

ABI

Abstract

Precise understanding and measurement of thermoelastic damping (TED) is essential for optimizing the functionality of ultra-small resonators. Scientists have found that the classical continuum theory (CCT) and the Fourier heat conduction model are inadequate for describing mechanical components at very small scales. By leveraging the frequency-based analysis, this work develops a novel approach for TED calculation in extremely small rectangular plates, drawing on the nonlocal strain gradient theory (NSGT) and Moore–Gibson–Thompson (MGT) heat transfer model to address classical formulation drawbacks at micro/nanoscales. In pursuit of this objective, the coupled equations of motion and heat are initially formulated within the NSGT and MGT model frameworks. Next, through the separation of the real and imaginary parts of the plate’s frequency and the application of frequency-based analysis, explicit expressions for TED and frequency shift are derived. The developed formulation’s credibility is assessed by comparing its outcomes to previously published data. In the numerical results section, the effects of essential factors, with a focus on the specific constants of the NSGT and MGT model, on TED and frequency shift are appraised.

Topics

Nonlocal and gradient elasticity in micro/nano structures Thermoelastic and Magnetoelastic Phenomena Composite Structure Analysis and Optimization

Identifiers

DOI: 10.1142/s0219455426503426

Citations and references

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