Dual-phase-lagging thermoelastic damping in-extensional vibration of rotating nano-ring

Alghamdi, Najat A.; Youssef, Hamdy M.

doi:10.1007/s00542-017-3294-z

Cited by 37 publications

(29 citation statements)

References 14 publications

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“…a Overall, the results in this work agree with the results in other papers, mainly in the cases = = = = 0 [9,10,12,19,22,25,32,37].…”

Section: Numerical Results and Discussionsupporting

confidence: 90%

“…Many authors and researchers applied that model in the thermal transfer applications [3][4][5][6][7][8]. The model of coupled thermoelasticity theory is one of the first types of heat conduction, which consists the equation of motion and the equation of energy conservation using the classical Fourier's law of heat conduction [9][10][11][12]. Lord and Shulman (L-S) modified the classical Fourier's law by inserting the relaxation time (lag time) for an isotropic body [13].…”

Section: Introductionmentioning

confidence: 99%

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Numerical analysis of the damage mechanics variable and vibration of a viscothermoelastic microbeam with variable thermal conductivity

Youssef¹,

El-Bary²,

Atef³

et al. 2020

J. vibroeng.

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In the present paper, the analysis for thermoelastic homogeneous isotropic microbeams has been constructed. A generalized viscothermoelasticity theory of one relaxation time with variable thermal conductivity in the context of damage mechanics definition has been applied based on simply supported conditions for aspect ratios. Laplace transform has been applied for the governing differential equations, and its inverse has been carried out by using the Tzou method. Microbeam of silicon nitride has been considered when it is subjected to ramp-type heating and simply supported. The results have been illustrated in figures to stand on the impacts of the viscothermoelastic parameter, the thermal conductivity parameter, the value of the beam thickness, and the ramp-type heating parameter. The influences of the mentioned parameters are significant on all the studied functions, and the ramp-type heating parameter plays a vital role in thermodynamically damping of the energy which has been generated on the beam.

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“…a Overall, the results in this work agree with the results in other papers, mainly in the cases = = = = 0 [9,10,12,19,22,25,32,37].…”

Section: Numerical Results and Discussionsupporting

confidence: 90%

Section: Introductionmentioning

confidence: 99%

Numerical analysis of the damage mechanics variable and vibration of a viscothermoelastic microbeam with variable thermal conductivity

Youssef¹,

El-Bary²,

Atef³

et al. 2020

J. vibroeng.

Self Cite

View full text Add to dashboard Cite

show abstract

“…is model established the temperature gradient and heat flux. Many scientists used this model in heat transfer problems [8,14], physical systems [15][16][17][18][19], and thermoelastic damping vibration [20,21]. Guo et al [22,23] studied the thermoelastic damping theory of micro-and nanomechanical resonators by using the DPL model.…”

Section: Introductionmentioning

confidence: 99%

Influence of the Static Pre-Stress in Micro-Viscothermoelastic Resonators Based on Dual-Phase-Lagging Heat Conduction

Alghamdi

Youssef

2020

Mathematical Problems in Engineering

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Thermal and mechanical relaxation times play vital roles in the values of the quality factor of micro/nanoresonators. They can control the energy dissipation across the coupling of mechanical and thermal behavior. In this paper, we introduce an analytical model that considers a pre-stress in a micro-viscothermoelastic resonator to modify the thermal and mechanical relaxation times and thus higher the quality factor. The impacts of length scale and static pre-stress on the quality factor have been discussed. The model expects that significant improvement in terms of quality factors is possible by tuning the pre-stress and the thermal and mechanical relaxation times parameters, and the isothermal value of frequency have significant effects on the thermal quality factor of the resonators.

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“…Tzou introduced the dual-phase-lag heat conduction (DPL) in which the temperature gradient and heat flux lag times have been included [11,12]. Many scientists and authors have applied this model to heat transfer problems [13], physical systems [14][15][16][17][18], and thermoelastic damping vibration [19,20]. Guo et al [21,22] studied the thermoelastic damping theory of micro-and nanomechanical resonators using the DPL model.…”

Section: Introductionmentioning

confidence: 99%

Characterization of the Quality Factor Due to the Static Prestress in Classical Caputo and Caputo–Fabrizio Fractional Thermoelastic Silicon Microbeam

2020

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The thermal quality factor is the most significant parameter of the micro/nanobeam resonator. Less energy is released by vibration and low damping, which results in greater efficiency. Thus, for a simply supported microbeam resonator made of silicon (Si), a thermal analysis of the thermal quality factor was introduced. A force due to static prestress was considered. The governing equations were constructed in a unified system. This system generates six different models of heat conduction; the traditional Lord–Shulman, Lord–Shulman based on classical Caputo fractional derivative, Lord–Shulman based on the Caputo–Fabrizio fractional derivative, traditional Tzou, Tzou based on the classical Caputo fractional derivative, and Tzou based on the Caputo–Fabrizio fractional derivative. The results show that the force due to static prestress, the fractional order parameter, the isothermal value of natural frequency, and the beam’s length significantly affect the thermal quality factor. The two types of fractional derivatives applied have different and significant effects on the thermal quality factor.

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Dual-phase-lagging thermoelastic damping in-extensional vibration of rotating nano-ring

Cited by 37 publications

References 14 publications

Numerical analysis of the damage mechanics variable and vibration of a viscothermoelastic microbeam with variable thermal conductivity

Numerical analysis of the damage mechanics variable and vibration of a viscothermoelastic microbeam with variable thermal conductivity

Influence of the Static Pre-Stress in Micro-Viscothermoelastic Resonators Based on Dual-Phase-Lagging Heat Conduction

Characterization of the Quality Factor Due to the Static Prestress in Classical Caputo and Caputo–Fabrizio Fractional Thermoelastic Silicon Microbeam

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