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An Analytical Model for Thermoelastic Damping and Frequency Shift of Micro/Nano Cylindrical Shell Resonators
Guoshuai Wang1, Pan Liu1, Qiang Zhang1
1Southwest Institute of Technical Physics, Chengdu 610041, China.
Micromachines
|June 26, 2026
Summary
Size effects significantly impact thermoelastic damping (TED) in micro/nano cylindrical shells, reducing their quality factor (Q-factor). Nonlocal elasticity theory and dual-phase-lag heat conduction models were combined to analyze these size-dependent effects.
Area of Science:
- Solid Mechanics
- Materials Science
- Nanotechnology
Background:
- Thermoelastic damping (TED) and frequency shift (FS) are critical for resonator performance.
- Size-dependent effects significantly influence the mechanical and thermal behavior of micro/nano structures.
Purpose of the Study:
- To develop a theoretical framework for analyzing TED in micro/nano cylindrical shells considering size effects.
- To investigate the impact of nonlocal elasticity and dual-phase-lag heat conduction on resonator Q-factor.
Main Methods:
- Combined nonlocal elasticity theory (NET) with the nonlocal dual-phase-lag (NDPL) heat-conduction model.
- Employed the Donnell-Mushtari-Vlasov (DMV) approximation for shell dynamics.
- Utilized the Galerkin method and complex frequency method for analytical solutions.
Main Results:
- Size effects significantly increase TED and reduce the Q-factor in micro/nano cylindrical shells.
- Mechanical nonlocal effects were found to exacerbate TED.
- The study examined the influence of size effects on frequency shift (FS) and frequency attenuation (FA).
Conclusions:
- The developed theoretical framework accurately predicts TED in size-dependent micro/nano cylindrical shells.
- This research provides essential theoretical foundations for designing resonators using micro/nano cylindrical shell materials.
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