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Thermoelastic damping in flexural vibration of bilayered microbeams with circular cross-section

机译：具有圆形横截面的双层微沟弯曲振动热弹性阻尼

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摘要

Predicting of thermoelastic damping (TED) is crucial in the design of micro-resonators with composite structures. Several analytical models were developed to evaluate TED in bilayered and three-layered microbeams in the past. However, the previous models focus on the microbeams with rectangular cross-section. This paper aims to study the TED in a bilayered microbeam with circular cross-section. The temperature field is approximated by using sine series and Bessel series in the circular cross-section. An analytical full model for TED in flexural vibration of bilayered microbeam is presented in the form of an infinite series. A simple model is also developed by retaining only the first term. The simulation results of the present model have a good agreement with those of the finite element method (FEM). The results indicate that well-resolved two peaks of TED are typically observed in the bilayered microbeams in which the value of k_2/C_2 is much less or higher than that of k_1/C_1. The present model is not a rapidly converging infinite series for most of the bilayered microbeams. The present model is more suitable for the long slender beams.
机译：预测热弹性阻尼（TED）在具有复合结构的微谐振器的设计中至关重要。开发了几种分析模型，以评估过去的双层和三层微磁束。但是，以前的模型专注于带矩形横截面的微观镜头。本文旨在使用圆形横截面研究双层微沟中的TED。通过在圆形横截面中使用正弦系列和贝塞尔系列来近似温度场。以无限系列的形式提出了双层微沟弯曲振动中TED的分析全模型。还通过仅保留第一个术语来开发一个简单的模型。本模型的仿真结果与有限元方法（FEM）的仿真结果吻合良好。结果表明，在双层微沟中通常观察到良好的达德峰，其中K_2 / C_2的值远小于或高于K_1 / C_1。对于大多数双层微沟，本模型不是迅速融合的无限系列。本模型更适合于长细长梁。

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  • 来源
    《Applied Mathematical Modelling》 |2020年第1期|1129-1147|共19页
  • 作者

    Yuming Fang; Pu Li; Hongyue Zhou; Wanli Zuo;

  • 作者单位

    College of Electronic and Optical Engineering & College of Microelectronic Nanjing University of Posts and Telecommunications Nanjing 210003 China National and local Joint Engineering Laboratory of RE Integration and Micro-Assembly Technology Nanjing University of Posts and Telecommunications Nanjing 210003 China;

    School of Mechanical Engineering Southeast University Nanjing 211189 China;

    School of Mechanical Engineering Southeast University Nanjing 211189 China;

    School of Mechanical Engineering Southeast University Nanjing 211189 China;

  • 收录信息 美国《科学引文索引》(SCI);美国《工程索引》(EI);
  • 原文格式 PDF
  • 正文语种 eng
  • 中图分类
  • 关键词

    Composite structures; Bilayered microbeam; Circular cross-section; Thermoelastic damping;

    机译：复合结构;双层微沟;圆形横截面;热弹性阻尼;

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