Analysis of bias DC voltage effect on thermoelastic damping ratio in short nano-beam resonators based on nonlocal elasticity theory and dual-phase-lagging heat conduction model

Rezazadeh, Ghader; Sheikhlou, Mehrdad; Shabani, Rasoul

doi:10.1007/s11012-015-0171-7

Cited by 18 publications

(2 citation statements)

References 57 publications

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“…The vibrational behaviors of nanotube biosensors incorporating thermal and nonlocal effects is investigated by Wang and Wang (2016). Rezazadeh et al (2015) analyzed the effect of bias DC voltage on TED in nanobeam resonators considering the dual-phase-lagging heat conduction model and nonlocal elasticity theory. Thermoelastic energy dissipation of graphene nano-resonators using nonlocal elasticity theory is studied by Rashahmadi and Meguid (2019).…”

Section: Introductionmentioning

confidence: 99%

Size-dependent thermoelastic damping analysis in nanobeam resonators based on Eringen’s nonlocal elasticity and modified couple stress theories

Kumar

Mukhopadhyay

2022

Journal of Vibration and Control

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Thermoelastic damping has emerged as a critical issue in the modeling and design of micro and nanomechanical systems. Therefore, an extensive research interest is being devoted towards the reduction in thermoelastic damping for micro and nanomechanical systems. The present study intends to examine thermoelastic damping in nanobeam resonators using the modified couple stress theory and Eringen’s nonlocal elasticity theory, thus so-called modified nonlocal couple stress theory within the context of the recently proposed Moore–Gibson–Thompson thermoelasticity theory. In order to observe size effects, the size-dependent coupled thermoelastic equations are derived by combining modified couple stress theory and nonlocal elasticity theory in the frame of Moore–Gibson–Thompson thermoelasticity. The coupled governing equations for thermoelastic damping of nanobeam resonators are solved analytically in terms of the inverse quality factor. The size-dependent thermoelastic damping of nanobeams is presented graphically with the help of numerical results predicted by modified nonlocal couple stress theory. The results obtained under the combined effects of modified couple stress theory and nonlocal theory in the present context are further compared to those of the classical, modified couple stress, and nonlocal elasticity theories as special cases of the modified nonlocal couple stress theory. It is observed that thermoelastic damping weakens at the submicron scale under Eringen’s nonlocal elasticity theory, whereas it becomes greater at the submicron scale under modified couple stress theory. However, at the submicron scale, the modeling of nanobeam resonators using modified nonlocal couple stress theory reveals a smaller amount of thermoelastic damping than modified couple stress, nonlocal, and classical theories. In addition, as compared to the Green–Naghdi thermoelasticity theory of type III (GN-III), the Moore–Gibson–Thompson model predicts a higher thermoelastic damping value, while agreeing with the results predicted by the Lord–Shulman (LS) model under modified nonlocal couple stress theory. Some important points highlighted here are believed to be useful in the design of mechanical resonators at micron and submicron scales.

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Section: Introductionmentioning

confidence: 99%

Size-dependent thermoelastic damping analysis in nanobeam resonators based on Eringen’s nonlocal elasticity and modified couple stress theories

Kumar

Mukhopadhyay

2022

Journal of Vibration and Control

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“…Their results revealed that the transient response is extremely sensitive to the material length scale parameters. Applying a numerical technique in addition to the Galerkin method, Rezazadeh et al (2015) analyzed TED in Timoshenko nanobeams subjected to a bias direct current voltage based on the nonlocal elasticity theory and DPL heat conduction model. In the work of Zhang et al (2016), an analytical expression for TED in nanobeams has been presented on the basis of modified couple stress theory (MCST).…”

Section: Introductionmentioning

confidence: 99%

Thermoelastic damping in nonlocal nanobeams considering dual-phase-lagging effect

Borjalilou

Asghari

Taati

2020

Journal of Vibration and Control

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This paper aims to present an explicit relation for thermoelastic damping in nanobeams capturing the small-scale effects on both the continuum mechanics and heat conduction domains. To incorporate small-scale effects, the coupled equations of motion and heat conduction are obtained by employing the nonlocal elasticity theory and the dual-phase-lag heat conduction model. Adopting simple harmonic forms for transverse deflection and temperature increment and solving the governing equations, real and imaginary parts of the frequency are extracted. According to the complex frequency approach, a closed-form size-dependent expression for evaluating thermoelastic damping in nanobeams is derived. To clarify the influence of nonlocality and dual-phase-lagging on the amount of thermoelastic damping, numerical results are compared with the ones predicted in the framework of classical continuum and heat conduction theories. Findings reveal that the size effect on both the continuum mechanics and heat conduction modeling of nanobeams is not negligible. A number of parametric studies are also conducted to indicate the effect of beam dimensions, boundary conditions and type of material on the value of thermoelastic damping.

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Surface and Nonlocal Effects on the Thermoelastic Damping in Axisymmetric Vibration of Circular Graphene Nanoresonators

Sheikhlou

Sadeghi

Najafi

et al. 2021

Acta Mech. Solida Sin.

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Analysis of bias DC voltage effect on thermoelastic damping ratio in short nano-beam resonators based on nonlocal elasticity theory and dual-phase-lagging heat conduction model

Cited by 18 publications

References 57 publications

Size-dependent thermoelastic damping analysis in nanobeam resonators based on Eringen’s nonlocal elasticity and modified couple stress theories

Size-dependent thermoelastic damping analysis in nanobeam resonators based on Eringen’s nonlocal elasticity and modified couple stress theories

Thermoelastic damping in nonlocal nanobeams considering dual-phase-lagging effect

Surface and Nonlocal Effects on the Thermoelastic Damping in Axisymmetric Vibration of Circular Graphene Nanoresonators

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