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A size-dependent thermoelastic damping model for micro-beams based on modified gradient elasticity

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Abstract

To investigate the size-dependent behavior of micro-beams with thermoelastic damping (TED), a new size-dependent thermoelastic damping model based on modified gradient elasticity is proposed in this study. The governing equations and boundary conditions are derived based on the modified gradient elasticity theory and the single-phase-lag thermal relaxation model. By utilizing the complex frequency method, the exact expression of thermoelastic damping is obtained from the model. The results indicate that there is a significant size effect of thermoelastic damping in micro-beams, and the critical thickness of the beam is related to the internal length scale. Different thermal parameters have varying degrees of influence on thermoelastic damping. Compared with other size-dependent thermoelastic damping models, the proposed thermoelastic damping model in this paper is characterized by its clear physical interpretation and simple form. Some theoretical guidance for the designing of high-quality micro/nano-electromechanical resonators can be provided by the new model.

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Acknowledgements

This work was supported by the postgraduate research innovation project of Changsha University of Science and Technology (No. CXCLY2022047), the Natural Science Foundation of Hunan Province of China (No. 2022JJ30583), the Natural Science Research Project of Hunan Education Department (No. 21B0315), the Civil Engineering Key Subject Foundation of Changsha University of Science and Technology (No. 18ZDXK04).

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Authors and Affiliations

  1. Department of Mechanics, School of Civil Engineering, Changsha University of Science and Technology, No.45, Chiling Rd., Tianxin District, Changsha, 410114, People’s Republic of China

    Bing Zhao, Lin Liu, Jian Chen, Chengyun Long, Xulong Peng & Huanxin Yi

  2. Department of Mechanics, School of Civil Engineering, Central South University, Changsha, 410083, People’s Republic of China

    Jian Chen

  3. Shien-Ming Wu School of Intelligent Engineering, South China University of Technology, Guangzhou, 510641, People’s Republic of China

    Chengyun Long

  4. School of Materials Science and Engineering, Northeastern Universit, Shenyang, 110167, People’s Republic of China

    Moyu Zhao

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  1. Bing Zhao
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Zhao, B., Liu, L., Chen, J. et al. A size-dependent thermoelastic damping model for micro-beams based on modified gradient elasticity. Arch Appl Mech 93, 4527–4540 (2023). https://doi.org/10.1007/s00419-023-02510-4

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