Thermoelastic response of nanobeam resonators subjected to exponential decaying time varying load

• Autorzy: Abouelregal A. E. , Zenkour A. M.

Identyfikatory

DOI

10.15632/jtam-pl.55.3.937

• Języki publikacji: EN

Abstrakty

EN

This work investigates the vibrational response of thermoelastic nanobeam resonators induced by ramp-type heating and subjected to exponential decaying time varying load via Euler-Bernoulli beam theory. Governing equations are derived in the context of nonlocal generalized thermoelasticity theory with dual phase lags. The nonlocal nanobeam theory incorporates a nonlocal parameter to capture the small scale effect. Using the Laplace transform technique, an analytical solution has been attained. and inversions of the transformed solutions have been carried out by means of calculus of residues. The effects of nonlocal, point load and ramping-time parameters on all studied fields of the nanobeam are investigated and discussed.

Słowa kluczowe

EN

thermoelasticity; nonlocal nanobeam; varying load; ramp-type heating

• Wydawca: Polskie Towarzystwo Mechaniki Teoretycznej i Stosowanej
• Czasopismo: Journal of Theoretical and Applied Mechanics
• Rocznik: 2017
• Tom: Vol. 55 nr 3
• Strony: 937—948
• Opis fizyczny: Bibliogr. 20 poz., rys.

Twórcy

autor

Abouelregal A. E.

• Mansoura University, Faculty of Science, Department of Mathematics, Mansoura, Egypt

autor

Zenkour A. M.

• King Abdulaziz University, Faculty of Science, Department of Mathematics, Jeddah, Saudi Arabia
• Kafrelsheikh University, Faculty of Science, Department of Mathematics, Kafrelsheikh, Egypt

Bibliografia

• 1. Abbas I.A., Zenkour A.M., 2014, Dual-phase-lag model on thermoelastic interactions in a semi-infinite medium subjected to a ramp-type heating, Journal of Computational and Theoretical Nanoscience, 11, 3, 642-645
• 2. Abouelregal A.E., 2011, Generalized thermoelasticity for an isotropic solid sphere in dual-phase-lag of heat transfer with surface heat flux, International Journal for Computational Methods in Engineering Science and Mechanics, 12, 96-105
• 3. Abouelregal A.E., Abo-Dahab S.M., 2012, Dual phase lag model on magneto-thermoelasticity infinite non-homogeneous solid having a spherical cavity, Journal of Thermal Stresses, 35, 820-841
• 4. Allameh S.M., 2003, An introduction to mechanical-properties-related issues in MEMS structures, Journal of Materials Scienc, 38, 4115-4123
• 5. Arefi M., Zenkour A.M., 2016, A simplified shear and normal deformations nonlocal theory for bending of functionally graded piezomagnetic sandwich nanobeams in magneto-thermo-electric environment, Journal of Sandwich Structures and Materials, 18, 5, 624-651
• 6. Eringen A.C., 1983, On differential equations of nonlocal elasticity and solutions of screw dislocation and surface waves, Journal of Applied Physics, 54, 4703-4710
• 7. Eringen A.C., 2002, Nonlocal Continuum Field Theories, New York: Springer Verlag
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• 9. Tzou D.Y., 1995, A unified approach for heat conduction from macro- to micro-scales, Journal of Heat Transfer, 117, 8-16
• 10. Tzou D.Y., 1997, Macro-to-Micro Scale Heat Transfer: the Lagging Behavior, Taylor and Francis, Washington (DC)
• 11. Younis M.I., 2011, MEMS Linear and Non-linear Statics and Dynamics, Springer, New York, USA, 2011
• 12. Zenkour A.M., 2016a, Nonlocal transient thermal analysis of a single-layered graphene sheet embedded in viscoelastic medium, Physica E, 79, 87-97
• 13. Zenkour A.M., 2016b, Two-dimensional coupled solution for thermoelastic beams via generalized dual-phase-lags model, Mathematical Modelling and Analysis, 21, 3, 319-335
• 14. Zenkour A.M., 2016c, Vibration analysis of a single-layered graphene sheet embedded in viscoPasternak’s medium using nonlocal elasticity theory, Journal of Vibroengineering, 18, 4, 2319-2330
• 15. Zenkour A.M., Abouelregal A.E., 2014a, Nonlocal thermoelastic vibrations for variable thermal conductivity nanobeams due to harmonically varying heat, Journal of Vibroengineering, 16, 8, 3665-3678
• 16. Zenkour A.M., Abouelregal A.E., 2014b, Vibration of FG nanobeams induced by sinusoidal pulse-heating via a nonlocal thermoelastic model, Acta Mechanica, 225, 12, 3409-3421
• 17. Zenkour A.M., Abouelregal A.E., 2015, Nonlocal thermoelastic nanobeam subjected to a sinusoidal pulse heating and temperature-dependent physical properties, Microsystem Technologies, 21, 8, 1767-1776
• 18. Zenkour A.M. and Abouelregal A.E., 2016, Nonlinear effects of thermo-sensitive nanobeams via a nonlocal thermoelasticity model with relaxation time, Microsystem Technologies, 22, 10, 2407-2415
• 19. Zenkour A.M., Mashat D.S., Abouelregal A.E., 2013, The effect of dual-phase-lag model on reflection of thermoelastic waves in a solid half space with variable material properties, Acta Mechanica Solida Sinica, 26, 6, 659-670
• 20. Zhang Y.Q., Liu G.R., Xie X.Y., 2005, Free transverse vibrations of double-walled carbon nanotubes using a theory of nonlocal elasticity, Physical Review B, 71, 195 404, 2005.

Uwagi

Opracowanie ze środków MNiSW w ramach umowy 812/P-DUN/2016 na działalność upowszechniającą naukę (zadania 2017)