STEMM Institute Press
Science, Technology, Engineering, Management and Medicine
Thermoelastic Dynamic Analysis of Microbeams Under Laser Pulse
DOI: https://doi.org/10.62517/jiem.202403304
Author(s)
Mengyao Cui1,2, Ming He1,2, Yanbing Liang2,*
Affiliation(s)
1Hebei Key Laboratory of Data Science and Application, North China University of Science and Technology, Tangshan, Hebei, China 2College of Science, North China University of Science and Technology, Tangshan, Hebei, China *Corresponding Author
Abstract
In this paper the thermoelastic dynamic response of microbeam under laser pulse and the influence by noise interference are investigated for the first time. the governing equations of the microbeam are established by the fractional order two-phase hysteresis model and the Kelvin-Voigt model, and are solved using the shifted Chebyshev polynomials algorithm. Finally, some numerical simulations are provided, which demonstrate the validity the efficiency and robustness by the proposed method.
Keywords
Microbeams; Fractional Order; Shifted Chebyshev Polynomials; Thermoelasticity
References
[1] Dang R, Cui Y, Qu J, Yang A, Chen Y. Variable fractional modeling and vibration analysis of variable-thickness viscoelastic circular plate [J]. Applied Mathematical Modelling, 2022, 110:767-778. [2] Tang D W, Araki N. Non-fourier heat condution behavior in finite mediums under pulse surface heating [J]. Materials Science and Engineering, A, 2000, 292(2):173-178. [3] Ezzat M A, Othman M I, El-Karamany A M S. State space approach to two-dimensional generalized thermo-viscoelasticity with two relaxation times [J]. International journal of engineering science, 2002, 40(11):1251-1274. [4] Yang W, Chen Z. Investigation of transient thermal-mechanical behavior of a cracked viscoelastic material using time-fractional dual-phase-lag theory [J]. Theoretical and Applied Fracture Mechanics, 2020, 106:102500. [5] Othman M I A, Song Y. Effect of rotation on plane waves of generalized electro-magneto-thermoviscoelasticity with two relaxation times [J]. Applied Mathematical Modelling, 2008, 32(5):811-825. [6] Betancur-Herrera D E, Muñoz-Galeano N. A numerical method for solving Caputo’s and Riemann-Liouville’s fractional differential equations which includes multi-order fractional derivatives and variable coefficients. Communications in Nonlinear Science and Numerical Simulation, 2020, 84:105180. [7] Podlubny I. Fractional differential equations: an introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications. Elsevier, 1998. [8] Biot M A. Theory of stress‐strain relations in anisotropic viscoelasticity and relaxation phenomena. Journal of applied physics, 1954, 25(11):1385-91. [9] Ma J, Sun Y, Yang J. Analytical solution of dual-phase-lag heat conduction in a finite medium subjected to a moving heat source. International Journal of Thermal Sciences, 2018, 125:34-43. [10] Xia R, Tian X, Shen Y. Dynamic response of two-dimensional generalized thermoelastic coupling problem subjected to a moving heat source. Acta Mechanica Solida Sinica, 2014, 27(3):300-5 [11] Wang Lei, Chen Yiming, FENG Junyao. Numerical Analysis of fractional-order viscoelastic Euler-Bernoulli Beams [J]. Journal of Liaoning Technical University (Natural Science Edition), 2020, 39(05):471-476. [12] Alizadeh Hamidi B, Hosseini SA. An exact solution on gold microbeam with thermoelastic damping via generalized GreenNaghdi and modified couple stress theories. Journal of Thermal Stresses, 2020, 43(2):157-74. [13] Abouelregal AE, Alesemi M. Vibrational analysis of viscous thin beams stressed by laser mechanical load using a heat transfer model with a fractional Atangana-Baleanu operator. Case Studies in Thermal Engineering, 2022, 34:102028. [14] Qu J, Zhang Q, Yang A, Chen Y, Zhang Q. Variational fractional-order modeling of viscoelastic axially moving plates and vibration simulation. Communications in Nonlinear Science and Numerical Simulation, 2024, 130:107707.
Copyright @ 2020-2035 STEMM Institute Press All Rights Reserved