Thermoelastic damping in circular cross-section micro/nanobeam resonators with single-phase-lag time

Zhou, Hongyue; Li, Pu; Fang, Yuming

doi:10.1016/j.ijmecsci.2018.05.024

Cited by 39 publications

(11 citation statements)

References 30 publications

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“…Table 4 shows the expressions of the normalized TEDs for classifications of models and cross-sections. Although, the forms of the equations obtained from beams with rectangular- (Zhou and Li 2017), circular- (Zhou et al 2018) cross-section, and the ring with rectangular-cross-section (Zhou et al 2019) are much similar to the result of the toroidal ring, but the factors c and b 1q in the calculation are different from existing models. Additionally, there is straight temperature distribution in a rectangular-cross-sectional structure (Wong et al 2004), thus the z-direction can be neglected.…”

Section: Asymptotic Lines For Normalized Frequency and Quality Factormentioning

confidence: 80%

“…Also, (Zhou and Li 2017) predicted the more accurate characteristics in micro/nano-beams with the TED based on the non-Fourier heat conduction theory. Zhou et al organized the estimations of the dissipation of the beam with circular- (Zhou et al 2018) and ring with rectangular- (Zhou et al 2019) cross-sections, respectively. Moreover, (Kim and Kim 2019) extended the analysis of the dissipation for the cylindrical shell model with the lagging of the heat flux through the thickness direction.…”

Section: Introductionmentioning

confidence: 99%

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Thermoelastic attenuation of circular-cross-sectional micro/nanoring including single-phase-lag time

Kim

2021

Int J Mech Mater Des

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In this work, the thermoelastic dissipation (TED) for circular-cross-sectional micro/nanoring model is studied including the single-phase-lag (SPL) time based on the non-Fourier heat conduction model. The toroidal solid ring is simple to manufacture and thus the potential is high for future development. Also, the present model is more precise than the 1D or 2D beam or rectangular-cross-sectional ring because the governing equation is established by 3D coordinate system. Moreover, the SPL shows the delay time of heat-flux and is especially important in cryogenic or ultrafast-vibration environments. In this regard, characteristics of the TED is mainly analyzed according to the lagging time, geometrical shape, mode number and temperature, etc. Using the experimental data in literatures, the effectiveness of this work is verified to represent the investigations. The spectra of the TED with the phenomenon of multiple peaks are presented, and then the results can be grouped and compared with previous works. Moreover, the temperature distribution is graphically described to explain the SPL mechanism.

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Section: Asymptotic Lines For Normalized Frequency and Quality Factormentioning

confidence: 80%

Section: Introductionmentioning

confidence: 99%

Thermoelastic attenuation of circular-cross-sectional micro/nanoring including single-phase-lag time

Kim

2021

Int J Mech Mater Des

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“…For small vibration of in-plane mode of a ring, consider only the strain and stress along circumferential direction to calculate the total energy stored per cycle of entire structure. Using Equations (7) and (8), the maximum energy stored is given by…”

Section: Discussionmentioning

confidence: 99%

“…Using Equations (7) and (8), the maximum energy stored of a ring per cycle of in-plane vibration can be obtained as (see Appendix A for detail)…”

Section: Thermoelastic Dampingmentioning

confidence: 99%

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Entropy Generation and Thermoelastic Damping in the In-plane Vibration of Microring Resonators

Tai

Zheng

et al. 2019

Entropy

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Thermoelastic damping is a critical issue for designing very high quality factor microresonators. This paper derives the entropy generation, associated with the irreversibility in heat conduction, that is used for ring resonators in in-plane vibration and presents an analytical model of thermoelastic damping according to heat increments calculated by entropy theory. We consider the heat flow only in radial thickness of the ring and obtain a complex temperature field that is out of phase with the mechanical stress. The thermoelastic dissipation is calculated in the perspective of heat increments that appear due to entropy generation. The analytical model is validated by comparing with an LR (Lifshitz and Roukes) model, finite-element method and measurement. The accuracy of the present model is found to be very high for different ambient temperatures and structures. The effects of structure dimensions and vibration frequencies on entropy generation and thermoelastic damping is investigated for ring resonators under in-plane vibration.

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Thermoelastic damping analysis in microbeam resonators based on Moore–Gibson–Thompson generalized thermoelasticity theory

Kumar

Mukhopadhyay

2020

Acta Mech

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Thermoelastic damping in circular cross-section micro/nanobeam resonators with single-phase-lag time

Cited by 39 publications

References 30 publications

Thermoelastic attenuation of circular-cross-sectional micro/nanoring including single-phase-lag time

Thermoelastic attenuation of circular-cross-sectional micro/nanoring including single-phase-lag time

Entropy Generation and Thermoelastic Damping in the In-plane Vibration of Microring Resonators

Thermoelastic damping analysis in microbeam resonators based on Moore–Gibson–Thompson generalized thermoelasticity theory

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