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Archive of Applied Mechanics
Erschienen in: Archive of Applied Mechanics 1/2023

10.02.2022 | Original

Vibrational behavior of thermoelastic rotating nanobeams with variable thermal properties based on memory-dependent derivative of heat conduction model

verfasst von: Ahmed E. Abouelregal, Doaa Atta, Hamid M. Sedighi

Erschienen in: Archive of Applied Mechanics | Ausgabe 1/2023

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Abstract

The current work presents a theoretical framework to analyze the nonlocal thermoelastic model with a general kernel function for memory-based derivatives by incorporating two-time delays. The introduced model aims at studying the thermomechanical response of rotating size-dependent nanobeams. The nonlocal elasticity theory and the generalized heat conduction model with phase delays are utilized to formulate the problem. In the proposed model, the thermal conductivity is expected to vary linearly with temperature and the system is excited by a variable harmonic heat source by considering the time-dependent exponential decaying load. To this end, the semi-analytical solutions for the transverse and axial displacements, thermodynamic temperature and bending moment are examined using the Laplace transform method. The effects of the nonlocal parameter and various loading conditions are also investigated and discussed. Finally, it is demonstrated that how the linear variation of thermal conductivity could affect the performance of the considered system.
Vorheriger Artikel On dynamic modeling of piezomagnetic/flexomagnetic microstructures based on Lord–Shulman thermoelastic model
Nächster Artikel Analytical solution of free vibration of viscoelastic perforated nanobeam

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Literatur
1.
Sherief, H.H., EI-Sayed, A.M.A., EI-Latief, A.M.A.: Fractional order theory of thermoelasticity. Int. J. Solids Struct. 2(2), 992–996 (2010)
2.
Ezzat, M.A., Fayik, M.A.: Effects of variable thermal conductivity and fractional order of heat transfer on a perfect conducting infinitely long hollow cylinder. Int. J. Therm. Sci. 108, 62–69 (2016)CrossRef
3.
Abouelregal, A.E., Mohamed, B.O.: Fractional order thermoelasticity for a functionally graded thermoelastic nanobeam induced by a sinusoidal pulse heating. J. Comput. Theor. Nanosci. 15(4), 1233–1242 (2018)CrossRef
4.
Ezzat, M.A., El-Bary, A.A.: Effects of phase lags on thermoelastic damping in micro-beam resonators. Int. J. Struct. Stabil. Dyn. 19, 1971005 (2019)MathSciNetCrossRef
5.
Abouelregal, A.E.: Modified fractional photo-thermoelastic model for a rotating semiconductor half-space subjected to a magnetic field. SILICON 12, 2837–2850 (2020)CrossRef
6.
Ahmad, I., Ahmad, H., Thounthong, P., Chu, Y.M., Cesarano, C.: Solution of multi-term time-fractional PDE models arising in mathematical biology and physics by local meshless method. Symmetry 12(7), 1195 (2020)CrossRef
7.
Abouelregal, A.E.: Modified fractional thermoelasticity model with multi-relaxation times of higher order: application to spherical cavity exposed to a harmonic varying heat. Waves Random Complex Media. 31, 812–832 (2019)MathSciNetMATHCrossRef
8.
Lord, H.W., Shulman, Y.: A generalized dynamical theory of thermoelasticity. J Mech Phys Solid 15, 299–309 (1967)MATHCrossRef
9.
Tzou, D.Y.: Experimental support for the lagging behavior in heat propagation. J. Thermophys. Heat Transfer 9(4), 686–693 (1995)CrossRef
10.
Tzou, D.Y.: Unified field approach for heat conduction from macro- to micro-scales. J. Heat Transfer 117(1), 8–16 (1995)CrossRef
11.
Wang, J.L., Li, H.F.: Surpassing the fractional derivative: Concept of the memory-dependent derivative. Comput. Math. Appl. 62, 1562–1567 (2011)MathSciNetMATHCrossRef
12.
Mondal, S., Pal, P., Kanoria, M.: Transient response in a thermoelastic half-space solid due to a laser pulse under three theories with memory-dependent derivative. Acta Mech. 230, 179 (2019)MathSciNetMATHCrossRef
13.
Sur, A., Pal, P., Mondal, S., Kanoria, M.: Finite element analysis in a fiber-reinforced cylinder due to memory-dependent heat transfer. Acta Mech. 230, 1607 (2019)MATHCrossRef
14.
Ezzat, M.A., El-Bary, A.A.: Thermoelectric MHD with memory-dependent derivative heat transfer. Int. Commun. Heat Mass Transfer 75, 270 (2016)CrossRef
15.
Li, Y., He, T.: A generalized thermoelastic diffusion problem with memory-dependent derivative. Math. Mech. Solids 24, 1438 (2018)MathSciNetMATHCrossRef
16.
Sun, W., Wang, J.: Reconstruct the heat conduction model with memory dependent derivative. Appl. Math. 9, 1072 (2018)CrossRef
17.
Hendy, M. H., El-Attar, S. I., Ezzat, M. A.: On thermoelectric materials with memory-dependent derivative and subjected to a moving heat source, Microsyst. Technol.,26, 595 (2020), 15(5), 299 (1967)
18.
Younis, M.I., Nayfeh, A.H.: A study of the nonlinear response of a resonant microbeam to an electric actuation. Nonlinear Dyn. 31, 91 (2003)MATHCrossRef
19.
Ghayesh, M.H., Amabili, M., Farokhi, H.: Nonlinear behaviour of electrically actuated MEMS resonators. Int. J. Eng. Sci. 71, 137 (2013)CrossRef
20.
Zhang, X.C., Myers, E.B., Sader, J.E., Roukes, M.L.: Nanomechanical torsional resonators for frequency-shift infrared thermal sensing. Nano Lett. 13, 1528 (2013)CrossRef
21.
Dennis, J.O., Ahmed, A.Y., Khir, M.H.: Fabrication and characterization of a CMOS-MEMS humidity. Sensors 15, 16674 (2015)CrossRef
22.
23.
24.
Bagheri, R. Tadi Beni, Y.: On the size-dependent nonlinear dynamics of viscoelastic/flexoelectric nanobeams. J. Vibr. Control, 1077546320952225 (2020).
25.
Ebrahimi, N., Beni, Y.T.: Electro-mechanical vibration of nanoshells using consistent size-dependent piezoelectric theory. Steel Compos. Struct. 22(6), 1301–1336 (2016)CrossRef
26.
Pinnola, F. P., Vaccaro, M. S., Barretta, R., Marotti de Sciarra, F.: Finite element method for stress-driven nonlocal beams, Eng. Anal. Boundary Elements 134, 22–34 (2022).
27.
Vaccaro, M. S., Marotti de Sciarra, F., Barretta, R.: On the regularity of curvature fields in stress-driven nonlocal elastic beams. Acta Mechanica 232(7), 2595–2603 (2021).
28.
Vaccaro, M. S., Pinnola, F. P., Marotti de Sciarra, F., Barretta, R.: Elastostatics of Bernoulli-Euler beams resting on displacement-driven nonlocal foundation. Nanomaterials 11(3), 573, 1–27 (2021).
29.
30.
Koochi, A., Goharimanesh, M.: Nonlinear oscillations of CNT nano-resonator based on nonlocal elasticity: the energy balance method. Rep. Mech. Eng. 2(1), 41–50 (2021)CrossRef
31.
Sedighi, H.M.: Size-dependent dynamic pull-in instability of vibrating electrically actuated microbeams based on the strain gradient elasticity theory. Acta Astronaut. 95, 111–123 (2014)CrossRef
32.
Abro, K.A., Atangana, A., Khoso, A.R.: Dynamical behavior of fractionalized simply supported beam: an application of fractional operators to Bernoulli–Euler theory. Nonlinear Eng. 10(1), 231–239 (2021)CrossRef
33.
Abouelregal, A.E., Sedighi, H.M., Malikan, M., Eremeyev, V.A.: Nonlocalized thermal behavior of rotating micromachined beams under dynamic and thermodynamic loads. ZAMM-Journal of Applied Mathematics and Mechanics/Zeitschrift für Angewandte Mathematik und Mechanik (2021). https://​doi.​org/​10.​1002/​zamm.​202100310CrossRef
34.
Avlović, I.R., et al.: Dynamic behavior of two elastically connected nanobeams under a white noise process. Facta. Univ. Ser. Mech. Eng. 18(2), 219–227 (2020)
35.
Barretta, R., Fazelzadeh, S., Feo, L., Ghavanloo, E., Luciano, R.: Nonlocal inflected nano-beams: a stress-driven approach of bi-Helmholtz type. Compos. Struct. 200, 239–245 (2018)CrossRef
36.
Tashakorian, M., Ghavanloo, E., Fazelzadeh, S., Hodges, D.: Nonlocal fully intrinsic equations for free vibration of Euler–Bernoulli beams with constitutive boundary conditions. Acta Mech. 229, 3279–3292 (2018)MathSciNetMATHCrossRef
37.
38.
Abo-Dahab, S.M., Abouelregal, A.E.: Investigation of the vibration of micro-beam resonators induced by a harmonically varying heat. J. Comput. Theor. Nanosci. 12, 924 (2015)CrossRef
39.
Abouelregal, A.E., Marin, M.: The response of nanobeams with temperature-dependent properties using state-space method via modified couple stress theory. Symmetry 12(8), 1276 (2020)CrossRef
40.
Abouelregal, A.E.: Response of thermoelastic microbeams to a periodic external transverse excitation based on MCS theory. Microsyst. Tech. 24, 1925–1933 (2018)CrossRef
41.
Rafii-Tabar, H., Ghavanloo, E., Fazelzadeh, S.: Nonlocal continuum-based modeling of mechanical characteristics of nanoscopic structures. Phys. Rep. 638, 1–97 (2016)MathSciNetCrossRef
42.
Shafiei, N., Kazemi, M., Ghadiri, M.: Nonlinear vibration of axially functionally graded tapered microbeams. Int. J. Eng. Sci. 102, 12 (2016)MathSciNetMATHCrossRef
43.
Lenci, S., Clementi, F.: Flexural wave propagation in infinite beams on a unilateral elastic foundation. Nonlinear Dyn. 99, 721–735 (2020)MATHCrossRef
44.
Rahmatnezhad, K., Zarastvand, M.R., Talebitooti, R.: Mechanism study and power transmission feature of acoustically stimulated and thermally loaded composite shell structures with double curvature. Compos. Struct. 276, 114557 (2021)CrossRef
45.
Naidu, N.R., Rao, G.V.: Stability behaviour of uniform column on a class of two-parameter elastic foundation. Comput. Struct. 57, 551 (1995)CrossRef
46.
Kocakaplan, S., Tassoulas, J.L.: Wave propagation in initially-stressed elastic rods. J. Sound Vibr. 443, 293 (2019)CrossRef
47.
Alghamdi, N.A.: The vibration of nano-beam subjected to thermal shock and moving heat source with constant speed. J. Nano Res. 61, 163 (2020)CrossRef
48.
Wang, C.M., Zhang, Y.Y., Kitipornchai, S.: Vibration of initially stressed micro- and nano-beams. Int. J. Struct. Stab. Dyn. 07, 555 (2007)MathSciNetMATHCrossRef
49.
50.
Eftekhari, S.A., Jafari, A.A.: A new mixed finite element–differential quadrature formulation for forced vibration of beams carrying moving loads. J. Appl. Mech. 78, 11020 (2011)CrossRef
51.
52.
Eringen, A.C.: Theory of nonlocal thermoelasticity. Int J Eng Sci. 12, 1063–1077 (1974)MATHCrossRef
53.
Eringen, A.C.: Plane waves in nonlocal micropolar elasticity. Int J Eng Sci. 22, 1113–1121 (1984)MATHCrossRef
54.
Altan, B.S.: Uniqueness in the linear theory of nonlocal elasticity. Bull Tech Univ Istanb. 37, 373–385 (1984)MathSciNetMATH
55.
Eringen, A.C.: Memory-dependent nonlocal electromagnetic elastic solids and super-conductivity. J Math Phys. 32, 787–796 (1991)MathSciNetMATHCrossRef
56.
Mindlin, R.D., Tiersten, H.F.: Effects of couple stresses in linear elasticity. Arch. Rational Mech. Anal. 11, 415–448 (1962)MathSciNetMATHCrossRef
57.
Mindlin, R.D., Eshel, N.N.: On first strain-gradient theories in linear elasticity. Int. J. Solids Struct. 4, 109–124 (1968)MATHCrossRef
58.
59.
Lim, C.W., Zhang, G., Reddy, J.N.: A Higher-order nonlocal elasticity and strain gradient theory and its Applications in wave propagation. J. Mech. Phys. Solids 78, 298–313 (2015)MathSciNetMATHCrossRef
60.
Lam, D.C.C., Yang, F., Chong, A.C.M.: Experiments and theory in strain gradient elasticity. J. Mech. Phys. Solids 51, 1477–1508 (2003)MATHCrossRef
61.
Lim, C.W., Wang, C.M.: Exact variational nonlocal stress modeling with asymptotic higher-order strain gradients for nanotubes. J. Appl. Phys. 101, 054312 (2007)CrossRef
62.
Aifantis, E.: On the role of gradients in the localization of deformation and fracture. Int. J. Eng. Sci. 30, 1279–1299 (1992)MATHCrossRef
63.
Yang, F., Chong, A.C.M., Lam, D.C.C.: Couple stress based strain gradient theory for elasticity. Int. J. Solids 39, 2731–2743 (2002)MATHCrossRef
64.
Diethelm, K.: The Analysis of Fractional Differential Equations: An Application-Oriented Exposition Using Differential Operators of Caputo Type. Springer, Berlin (2010)MATHCrossRef
65.
Caputo, M.: Linear Models of Dissipation whose Q is almost Frequency Independent—II. Geophys. J. Int. 13, 529 (1967)CrossRef
66.
Yu, Y.J., Hu, W., Tian, X.G.: A novel generalized thermoelasticity model based on memory-dependent derivative. Int. J. Eng. Sci. 81, 123 (2014)MathSciNetMATHCrossRef
67.
Narendar, S., Gopalakrishnan, S.: Nonlocal wave propagation in rotating nanotube. Results Phys. 1, 17–25 (2011)CrossRef
68.
Ebrahimi, F., Dabbagh, A.: Wave dispersion characteristics of rotating heterogeneous magneto-electro-elastic nanobeams based on nonlocal strain gradient elasticity theory. J. Electromagn. Waves Appl. 32(2), 138 (2018)CrossRef
69.
Drexler, K.E.: Nanosystems: Molecular Machinery, Manufacturing, and Computation. Wiley, New York (1992)
70.
Noda, N.: Thermal stress in material with temperature dependent properties. Thermal Stresses Appl. Mech. Rev. 44, 383 (1991)CrossRef
71.
Eringen, A.C.: On differential equations of nonlocal elasticity and solutions of screw dislocation and surface waves. J. Appl. Phys. 54, 4703 (1983)CrossRef
72.
Berman, R.: The thermal conductivity of dielectric solids at low temperatures. Adv. Phys. 2(5), 103 (1953)CrossRef
73.
Sharma, J.N., Kaur, R.: Response of anisotropic thermoelastic micro-beam resonators under dynamic loads. Appl. Math. Model. 39, 2929 (2015)MathSciNetMATHCrossRef
74.
Honig, G., Hirdes, U.: A method for the numerical inversion of Laplace Transform, J. Comput. Appl. Math., 1(10): 113(1984).
75.
76.
Yahya, A.M.H., Abouelregal, A.E., Khalil, K.M., Atta, D.: Thermoelastic responses in rotating nanobeams with variable physical properties due to periodic pulse heating. Case Stud. Thermal Eng. 28, 101443 (2021)CrossRef
77.
78.
Abouelregal, A.E., Ahmad, H., Nofal, T.A., Abu-Zinadah, H.: Thermo-viscoelastic fractional model of rotating nanobeams with variable thermal conductivity due to mechanical and thermal loads. Mod. Phys. Lett. B 35(18), 2150297 (2021)MathSciNetCrossRef
79.
Ebrahimi, F., Mahmoodi, F., Barati, M.R.: Thermo-mechanical vibration analysis of functionally graded micro/nanoscale beams with porosities based on modified couple stress theory. Adv. Mater. Res. 6(3), 279–301 (2017)
Metadaten
Titel
Vibrational behavior of thermoelastic rotating nanobeams with variable thermal properties based on memory-dependent derivative of heat conduction model
verfasst von
Ahmed E. Abouelregal
Doaa Atta
Hamid M. Sedighi
Publikationsdatum
10.02.2022
Verlag
Springer Berlin Heidelberg
Erschienen in
Archive of Applied Mechanics / Ausgabe 1/2023
Print ISSN: 0939-1533
Elektronische ISSN: 1432-0681
DOI
https://doi.org/10.1007/s00419-022-02110-8

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