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Archive of Applied Mechanics

03-04-2024 | Original

Size-dependent thermoelastic damping analysis in functionally graded bi-layered microbeam resonators considering the nonlocal dual-phase-lag heat conduction model

Authors: Wei Peng, Baocai Pan

Published in: Archive of Applied Mechanics

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Abstract

Functionally graded (FG) bi-layer structures have become one of the most promising candidates for micro-devices, which are widely used as high-efficient micro-resonators due to their excellent thermo-mechanical properties. In addition, the design of high performance micro-resonators requires sufficiently accurate analysis of their thermoelastic damping (TED). Nevertheless, the classical analysis model of TED fail on the micro-structures owing to without considering the influences of the spatial size-dependent effects related to heat transfer and elastic deformation. To address this issue, present study focuses on investigating the size-dependent TED model of FG bi-layered microbeam resonators for TED analysis by combining the nonlocal dual-phase-lag heat conduction model and the modified coupled stress theory. It is assumed that the FG bi-layered microbeam resonators consist of double FG surfaces. The corresponding governing equation are formulated, and the analytical solution is solved by complex frequency method. The obtained TED model is theoretically verified, and then, the parameter effects of the nonlocal thermal parameter, the material length scale parameter, the power-law index and the vibration modes on the TED are analyzed. This article provides a theoretical analysis model of the TED in FG bi-layered microbeam resonators, which has practical significance in the design of high quality factor devices.

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Metadata
Title
Size-dependent thermoelastic damping analysis in functionally graded bi-layered microbeam resonators considering the nonlocal dual-phase-lag heat conduction model
Authors
Wei Peng
Baocai Pan
Publication date
03-04-2024
Publisher
Springer Berlin Heidelberg
Published in
Archive of Applied Mechanics
Print ISSN: 0939-1533
Electronic ISSN: 1432-0681
DOI
https://doi.org/10.1007/s00419-024-02564-y

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