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Thermoelastic dissipation of circular-cross-sectional ring including nonlocal and dual-phase-lagging effects
Highlights TED of toroidal ring is investigated with dual-phase-lag and modified couple stress based on nonlocal elasticity. Size-dependent influences are specified by length-scale parameters in the elastic and thermal fields. TED results are predicted as peaks of quality factor, and compared with respect to the causes of physical quantities. Nonlocal elasticity should be considered if the size of resonator decreases to the scale of energy-carrying mean-free-path. New MCS length-scale parameter is suggested according to the local radius of the circular-cross-section.
Abstract In the high-frequency region, thermoelastic damping (TED) is essential to ensure the accuracy of micro- or nano-precision sensors or actuators. The size-effect of molecules should be considered in the design and analysis since the atomic volume is not negligible in the nanoscale model. Moreover, a toroidal ring is easy to manufacture, so there is a high possibility that it will be developed in the near future. And thus, the 3-dimensional (3D) TED model of a circular cross-sectional ring is investigated by adopting dual-phase-lagging (DPL) and modified couple stress (MCS) theories based on nonlocal elasticity. Additionally, the size-dependent influences are specified by length-scale parameters in the elastic and thermal fields. Then the TED results are predicted as a quality factor (Q) with the peaks of the spectra and are compared separately by the causes of physical quantity. Moreover, the phenomenon is analyzed in terms of how the properties and length-scale parameters correlate with each other. Finally, it is confirmed that nonlocal elasticity should be considered when the size of the resonator decreases to the scale of the energy-carrying mean-free path. In this regard, this work provides an idea for the analysis of DPL TED of the toroidal ring, including nanoscale effects based on nonlocal elasticity and MCS theories.
Thermoelastic dissipation of circular-cross-sectional ring including nonlocal and dual-phase-lagging effects
Highlights TED of toroidal ring is investigated with dual-phase-lag and modified couple stress based on nonlocal elasticity. Size-dependent influences are specified by length-scale parameters in the elastic and thermal fields. TED results are predicted as peaks of quality factor, and compared with respect to the causes of physical quantities. Nonlocal elasticity should be considered if the size of resonator decreases to the scale of energy-carrying mean-free-path. New MCS length-scale parameter is suggested according to the local radius of the circular-cross-section.
Abstract In the high-frequency region, thermoelastic damping (TED) is essential to ensure the accuracy of micro- or nano-precision sensors or actuators. The size-effect of molecules should be considered in the design and analysis since the atomic volume is not negligible in the nanoscale model. Moreover, a toroidal ring is easy to manufacture, so there is a high possibility that it will be developed in the near future. And thus, the 3-dimensional (3D) TED model of a circular cross-sectional ring is investigated by adopting dual-phase-lagging (DPL) and modified couple stress (MCS) theories based on nonlocal elasticity. Additionally, the size-dependent influences are specified by length-scale parameters in the elastic and thermal fields. Then the TED results are predicted as a quality factor (Q) with the peaks of the spectra and are compared separately by the causes of physical quantity. Moreover, the phenomenon is analyzed in terms of how the properties and length-scale parameters correlate with each other. Finally, it is confirmed that nonlocal elasticity should be considered when the size of the resonator decreases to the scale of the energy-carrying mean-free path. In this regard, this work provides an idea for the analysis of DPL TED of the toroidal ring, including nanoscale effects based on nonlocal elasticity and MCS theories.
Thermoelastic dissipation of circular-cross-sectional ring including nonlocal and dual-phase-lagging effects
Kim, Jung-Hwan (author) / Kim, Ji-Hwan (author)
Thin-Walled Structures ; 193
2023-09-18
Article (Journal)
Electronic Resource
English
Nonlocal Thermoelastic Damping in Microelectromechanical Resonators
| Online Contents | 2009