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Erschienen in: Microsystem Technologies 4/2018

17.11.2017 | Technical Paper

Response of thermoelastic microbeams to a periodic external transverse excitation based on MCS theory

verfasst von: A. E. Abouelregal

Erschienen in: Microsystem Technologies | Ausgabe 4/2018

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Abstract

In this paper, we investigated the dynamics vibration of clamped–clamped microbeams exposed to associate exterior cross excitation. The theory of modified couple stress (MCS) and thermoelasticity model based on replacing Fourier’s law (LS) are applied to the constructed model. In sight of on Laplace transform technique, an analytical method is utilized to get the deflection and therefore the temperature fields. The inverse of Laplace transforms are calculated numerically utilizing Fourier development methods. The effects of angular frequency of the external force and couple stress term on temperature, deflection, displacement and bending moment are taken into consideration. Numerical results we obtained are displayed in graphs and discussed.

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Literatur
Zurück zum Zitat Abouelregal AE, Zenkour AM (2014) Effect of phase lags on thermoelastic functionally graded microbeams subjected to ramp-type heating. IJST Trans Mech Eng 38(M2):321–335 Abouelregal AE, Zenkour AM (2014) Effect of phase lags on thermoelastic functionally graded microbeams subjected to ramp-type heating. IJST Trans Mech Eng 38(M2):321–335
Zurück zum Zitat Abouelregal AE, Zenkour AM (2015a) Thermoelastic problem of an axially moving microbeam subjected to an external transverse excitation. J Theor Appl Mech 53(1):167–178 (Warsaw) CrossRefMATH Abouelregal AE, Zenkour AM (2015a) Thermoelastic problem of an axially moving microbeam subjected to an external transverse excitation. J Theor Appl Mech 53(1):167–178 (Warsaw) CrossRefMATH
Zurück zum Zitat Abouelregal AE, Zenkour AM (2015b) Thermoelastic problem of an axially moving microbeam subjected to an external transverse excitation. J Theor Appl Mech 53:167–178CrossRefMATH Abouelregal AE, Zenkour AM (2015b) Thermoelastic problem of an axially moving microbeam subjected to an external transverse excitation. J Theor Appl Mech 53:167–178CrossRefMATH
Zurück zum Zitat Anthoine A (2000) Effect of couple-stresses on the elastic bending of beams. Int J Solids Struct 37:1003–1018CrossRefMATH Anthoine A (2000) Effect of couple-stresses on the elastic bending of beams. Int J Solids Struct 37:1003–1018CrossRefMATH
Zurück zum Zitat Asghari M, Kahrobaiyan MH, Ahmadian MT (2010) A nonlinear Timoshenko beam formulation based on the modified couple stress theory. Int J Eng Sci 48(12):1749–1761MathSciNetCrossRefMATH Asghari M, Kahrobaiyan MH, Ahmadian MT (2010) A nonlinear Timoshenko beam formulation based on the modified couple stress theory. Int J Eng Sci 48(12):1749–1761MathSciNetCrossRefMATH
Zurück zum Zitat Belovodsky VN, Tsyfansky SL, Beresnevich VI (2002) The dynamics of a vibromachine with parametric excitation. J Sound Vib 254(5):897–910CrossRef Belovodsky VN, Tsyfansky SL, Beresnevich VI (2002) The dynamics of a vibromachine with parametric excitation. J Sound Vib 254(5):897–910CrossRef
Zurück zum Zitat Carrera E, Abouelregal AE, Abbas IA, Zenkour AM (2015) Vibrational analysis for an axially moving microbeam with two temperatures. J Therm Stresses 38:569–590CrossRef Carrera E, Abouelregal AE, Abbas IA, Zenkour AM (2015) Vibrational analysis for an axially moving microbeam with two temperatures. J Therm Stresses 38:569–590CrossRef
Zurück zum Zitat Ghayesh MH, Farokhi H, Amabili M (2013) Nonlinear behaviour of electrically actuated MEMS resonators. Int J Eng Sci 71:137–155CrossRef Ghayesh MH, Farokhi H, Amabili M (2013) Nonlinear behaviour of electrically actuated MEMS resonators. Int J Eng Sci 71:137–155CrossRef
Zurück zum Zitat Hadjesfandiari AR, Dargush GF (2011) Couple stress theory for solids. Int J Solids Struct 48(18):2496–2510CrossRef Hadjesfandiari AR, Dargush GF (2011) Couple stress theory for solids. Int J Solids Struct 48(18):2496–2510CrossRef
Zurück zum Zitat Koiter W (1964) Couple stresses in the theory of elasticity, I and II. Nederl Akad Wetensch Proc Ser B 67:17–29MathSciNetMATH Koiter W (1964) Couple stresses in the theory of elasticity, I and II. Nederl Akad Wetensch Proc Ser B 67:17–29MathSciNetMATH
Zurück zum Zitat Kumar R (2016) Response of thermoelastic beam due to thermal source in modified couple stress theory. CMST 22(2):95–101CrossRef Kumar R (2016) Response of thermoelastic beam due to thermal source in modified couple stress theory. CMST 22(2):95–101CrossRef
Zurück zum Zitat Lord HW, Shulman Y (1967) A generalized dynamical theory of thermoelasticity. J Mech Phys Solid 15:299–309CrossRefMATH Lord HW, Shulman Y (1967) A generalized dynamical theory of thermoelasticity. J Mech Phys Solid 15:299–309CrossRefMATH
Zurück zum Zitat Ma HM, Gao XL, Reddy JN (2008) A microstructure-dependent Timoshenko beam model based on a modified couple stress theory. J Mech Phys Solids 56:3379–3391MathSciNetCrossRefMATH Ma HM, Gao XL, Reddy JN (2008) A microstructure-dependent Timoshenko beam model based on a modified couple stress theory. J Mech Phys Solids 56:3379–3391MathSciNetCrossRefMATH
Zurück zum Zitat Najafi M, Rezazadeh G, Shabani R (2012) Thermo-elastic damping in a capacitive micro-beam resonator considering hyperbolic heat conduction model and modified couple stress theory. J Solid Mech 4(4):386–401 Najafi M, Rezazadeh G, Shabani R (2012) Thermo-elastic damping in a capacitive micro-beam resonator considering hyperbolic heat conduction model and modified couple stress theory. J Solid Mech 4(4):386–401
Zurück zum Zitat Shengli K, Shenjie Z, Zhifeng N, Kai W (2008) The size-dependent natural frequency of Bernoulli–Euler micro-beams. J Eng Sci 46:427–437CrossRefMATH Shengli K, Shenjie Z, Zhifeng N, Kai W (2008) The size-dependent natural frequency of Bernoulli–Euler micro-beams. J Eng Sci 46:427–437CrossRefMATH
Zurück zum Zitat Tzou Y (1995) Experimental support for the lagging behavior in heat propagation. J Thermophys Heat Transf 9:686–693CrossRef Tzou Y (1995) Experimental support for the lagging behavior in heat propagation. J Thermophys Heat Transf 9:686–693CrossRef
Zurück zum Zitat Yang F, Chong ACM, Lam DCC, Tong P (2002) Couple stress based strain gradient theory for elasticity. Int J Solids Struct 39:2731–2743CrossRefMATH Yang F, Chong ACM, Lam DCC, Tong P (2002) Couple stress based strain gradient theory for elasticity. Int J Solids Struct 39:2731–2743CrossRefMATH
Zurück zum Zitat Zenkour AM, Abouelregal AE (2014a) Effect of harmonically varying heat on FG nanobeams in the context of a nonlocal two-temperature thermoelasticity theory. Eur J Comput Mech 23(1–2):1–14MATH Zenkour AM, Abouelregal AE (2014a) Effect of harmonically varying heat on FG nanobeams in the context of a nonlocal two-temperature thermoelasticity theory. Eur J Comput Mech 23(1–2):1–14MATH
Zurück zum Zitat Zenkour AM, Abouelregal AE (2014b) The effect of two temperatures on a functionally graded nanobeam induced by a sinusoidal pulse heating. Struct Eng Mech 51:199–214CrossRef Zenkour AM, Abouelregal AE (2014b) The effect of two temperatures on a functionally graded nanobeam induced by a sinusoidal pulse heating. Struct Eng Mech 51:199–214CrossRef
Metadaten
Titel
Response of thermoelastic microbeams to a periodic external transverse excitation based on MCS theory
verfasst von
A. E. Abouelregal
Publikationsdatum
17.11.2017
Verlag
Springer Berlin Heidelberg
Erschienen in
Microsystem Technologies / Ausgabe 4/2018
Print ISSN: 0946-7076
Elektronische ISSN: 1432-1858
DOI
https://doi.org/10.1007/s00542-017-3589-0

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