Frequency shifts and thermoelastic damping in different types of Nano-/Micro-scale beams with sandiness and voids under three thermoelasticity theories

Guha, Sayantan; Singh, Abhishek Kumar

doi:10.1016/j.jsv.2021.116301

Cited by 27 publications

(7 citation statements)

References 51 publications

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“…It can be seen that the TED and FS for all considered beams are in well-agreement with those derived by Guha and Singh [25], if the terms with sandiness and voids are ignored therein.…”

Section: Isotropic Beam Neglecting Piezoelectro-magnetic Propertiessupporting

confidence: 86%

“…Moreover, the beam is assumed to be isotropic, i.e., the stiffness constants depend on λ and μ (Lamèʼs parameters). In their work, Guha and Singh [25] analyzed TED and FS in different isotropic micro-/nano-scale beams comprising sandiness and voids. The expressions of TED and FS are found to be:…”

Section: Isotropic Beam Neglecting Piezoelectro-magnetic Propertiesmentioning

confidence: 99%

“…If the terms representing sandiness and voids are ignored in the work of Guha and Singh [25], the expressions of TED and FS become:…”

Section: Isotropic Beam Neglecting Piezoelectro-magnetic Propertiesmentioning

confidence: 99%

“…Since then and up to recent times, they are also used to analyze the vibrational aspects and TED of several types of structures like rings, cylinders, beams, resonators, plates, layered structures, etc., as can be seen in the works of Lifshitz and Roukes [16], Li et al [17], Zuo et al [18], Kumar and Mukhopadhyay [19], Weng et al [20], Ranji et al [21], Barati and Zenkour [22], Sobhy and Zenkour [23], etc. More recently, TED and FS were analyzed by Zhou and Li [24], Guha and Singh [25], Abouelregal and Sedighi [26], Guha and Singh [27], Qin et al [28], etc. Due to several important applications, another significant area of research is the analysis of quality factors of micro-beam resonators in a wide range of gas rarefaction conditions.…”

Section: Introductionmentioning

confidence: 99%

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Thermoelastic damping and frequency shift of different micro-scale piezoelectro-magneto-thermoelastic beams

Guha,

Singh,

Singh

2023

Phys. Scr.

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This work focuses on mathematically studying thermoelastic damping (TED) and frequency shift (FS) in micro-scale piezoelectro-magneto-thermoelastic (PEMT) composite beams composed of BaTiO3-CoFe2O4 combination. Pertaining to cutting-edge micro-technologies implemented in several engineering/scientific applications now-a-days, micro-scale doubly clamped (CC), doubly simply supported (SS), clamped-free (CF), and clamped-simply supported (CS) beams are extensively analyzed. The beams are modeled following the linear Euler–Bernoulli assumptions. The first two eigenvalues of all beams are numerically obtained using Newton-Raphson method. The closed-form expressions of TED and FS of all beams are derived analytically. The influences of Classical dynamical coupled (CL), Lord-Shulman (LS) & Green-Lindsay (GL) thermoelasticity theories, beam dimensions, BaTiO3 volume fraction (Ωf), and the first two modes M1 & M2) on the TED & FS are meticulously analyzed. Critical thickness (CrTh), critical length (CrLt), and TED (inverse Quality factor) of the beams are numerically obtained and studied. Among other key outcomes, the existence of a critical value of Ωf is established in the range Ωf∈ [ [0.5, 0.55], at which, the TED and FS display a drastic change in their natures. The outcomes of the present analysis may find immense potential uses in the design and development of PEMT composite micro-beams, and their applications in several areas such as supporting/stiffening other micro/nanostructures, construction works, sensitive sensing applications, etc.

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“…It can be seen that the TED and FS for all considered beams are in well-agreement with those derived by Guha and Singh [25], if the terms with sandiness and voids are ignored therein.…”

Section: Isotropic Beam Neglecting Piezoelectro-magnetic Propertiessupporting

confidence: 86%

Section: Isotropic Beam Neglecting Piezoelectro-magnetic Propertiesmentioning

confidence: 99%

“…If the terms representing sandiness and voids are ignored in the work of Guha and Singh [25], the expressions of TED and FS become:…”

Section: Isotropic Beam Neglecting Piezoelectro-magnetic Propertiesmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Thermoelastic damping and frequency shift of different micro-scale piezoelectro-magneto-thermoelastic beams

Guha,

Singh,

Singh

2023

Phys. Scr.

Self Cite

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“…One can find further analysis on TED in micro and nanobeams as reported in Refs. Abbas (2016); Borjalilou and Asghari (2021); Guha and Singh (2021); Kumar et al (2020); ; Rahimi et al (2019); Yang et al (2021a); Singh et al (2021);and Zhou et al (2018and Zhou et al ( , 2019and Zhou et al ( , 2020.…”

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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Influence of fiber orientation on reflection and attenuation phenomenon in fiber-reinforced viscoelastic medium

Nain

Guha

2023

Arch Appl Mech

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Frequency shifts and thermoelastic damping in different types of Nano-/Micro-scale beams with sandiness and voids under three thermoelasticity theories

Cited by 27 publications

References 51 publications

Thermoelastic damping and frequency shift of different micro-scale piezoelectro-magneto-thermoelastic beams

Thermoelastic damping and frequency shift of different micro-scale piezoelectro-magneto-thermoelastic beams

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

Influence of fiber orientation on reflection and attenuation phenomenon in fiber-reinforced viscoelastic medium

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