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Two-dimensional thermoelastic damping models for circular micro/nanoplate resonators with nonlocal dual-phase-lagging effect of heat conduction
https://orcid.org/0009-0004-6292-2745
https://orcid.org/0000-0001-7771-5598
https://orcid.org/0000-0002-4348-1591
Abstract The accurate calculation of thermoelastic damping (TED) is significant for designing and optimizing micro/nano-resonators. In this work, employing the nonlocal dual-phase-lagging (NDPL) theory, two forms of analytical TED expressions for circular micro/nanoplate resonators are attained for the first time considering the two-dimensional (2-D) heat conduction. Specifically, the heat flows both along the thickness and radial directions are considered in the modeling. The NDPL model is adopted to establish the governing equation of thermoelasticity, which modifies the thermal field through adding time and space parameters. To intuitively illustrate the mechanism of 2-D TED with the NDPL effect, the explorations of fluctuation temperature and TED spectra are conducted. Results show that the NDPL effect has a greater influence on the real part of the fluctuation temperature than the imaginary part. Moreover, the added heat flow along the radial direction mainly affects TED at relatively-low frequencies or relatively-large thicknesses, while the NDPL effect mainly affects the regions of relatively-high frequencies or relatively-small thicknesses. Additionally, the values of TED in circular plates with large thicknesses in the second-order axisymmetric mode are generally lower than that in the first-order axisymmetric mode.
Highlights Investigate thermoelastic damping (TED) in circular micro/nanoplates with nonlocal-dual-phase-lagging (NDPL) effect. Consider the heat conduction both along the thickness and radial directions of plate. TED in thick plates is affected by the addition of radial heat flow. The NDPL effect can capture the small-scale characteristic of fluctuation temperature and TED.
Two-dimensional thermoelastic damping models for circular micro/nanoplate resonators with nonlocal dual-phase-lagging effect of heat conduction
https://orcid.org/0009-0004-6292-2745
https://orcid.org/0000-0001-7771-5598
https://orcid.org/0000-0002-4348-1591
Abstract The accurate calculation of thermoelastic damping (TED) is significant for designing and optimizing micro/nano-resonators. In this work, employing the nonlocal dual-phase-lagging (NDPL) theory, two forms of analytical TED expressions for circular micro/nanoplate resonators are attained for the first time considering the two-dimensional (2-D) heat conduction. Specifically, the heat flows both along the thickness and radial directions are considered in the modeling. The NDPL model is adopted to establish the governing equation of thermoelasticity, which modifies the thermal field through adding time and space parameters. To intuitively illustrate the mechanism of 2-D TED with the NDPL effect, the explorations of fluctuation temperature and TED spectra are conducted. Results show that the NDPL effect has a greater influence on the real part of the fluctuation temperature than the imaginary part. Moreover, the added heat flow along the radial direction mainly affects TED at relatively-low frequencies or relatively-large thicknesses, while the NDPL effect mainly affects the regions of relatively-high frequencies or relatively-small thicknesses. Additionally, the values of TED in circular plates with large thicknesses in the second-order axisymmetric mode are generally lower than that in the first-order axisymmetric mode.
Highlights Investigate thermoelastic damping (TED) in circular micro/nanoplates with nonlocal-dual-phase-lagging (NDPL) effect. Consider the heat conduction both along the thickness and radial directions of plate. TED in thick plates is affected by the addition of radial heat flow. The NDPL effect can capture the small-scale characteristic of fluctuation temperature and TED.
Two-dimensional thermoelastic damping models for circular micro/nanoplate resonators with nonlocal dual-phase-lagging effect of heat conduction
https://orcid.org/0009-0004-6292-2745
https://orcid.org/0000-0001-7771-5598
https://orcid.org/0000-0002-4348-1591
Abstract The accurate calculation of thermoelastic damping (TED) is significant for designing and optimizing micro/nano-resonators. In this work, employing the nonlocal dual-phase-lagging (NDPL) theory, two forms of analytical TED expressions for circular micro/nanoplate resonators are attained for the first time considering the two-dimensional (2-D) heat conduction. Specifically, the heat flows both along the thickness and radial directions are considered in the modeling. The NDPL model is adopted to establish the governing equation of thermoelasticity, which modifies the thermal field through adding time and space parameters. To intuitively illustrate the mechanism of 2-D TED with the NDPL effect, the explorations of fluctuation temperature and TED spectra are conducted. Results show that the NDPL effect has a greater influence on the real part of the fluctuation temperature than the imaginary part. Moreover, the added heat flow along the radial direction mainly affects TED at relatively-low frequencies or relatively-large thicknesses, while the NDPL effect mainly affects the regions of relatively-high frequencies or relatively-small thicknesses. Additionally, the values of TED in circular plates with large thicknesses in the second-order axisymmetric mode are generally lower than that in the first-order axisymmetric mode.
Highlights Investigate thermoelastic damping (TED) in circular micro/nanoplates with nonlocal-dual-phase-lagging (NDPL) effect. Consider the heat conduction both along the thickness and radial directions of plate. TED in thick plates is affected by the addition of radial heat flow. The NDPL effect can capture the small-scale characteristic of fluctuation temperature and TED.
Two-dimensional thermoelastic damping models for circular micro/nanoplate resonators with nonlocal dual-phase-lagging effect of heat conduction
Shao, Dongfang (author) / Xu, Le (author) / Li, Pu (author) / Zhou, Hongyue (author)
Thin-Walled Structures ; 190
2023-06-20
Article (Journal)
Electronic Resource
English