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首页> 外文期刊>Applied Mathematical Modelling >Size effect on pull-in behavior of electrostatically actuated microbeams based on a modified couple stress theory
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Size effect on pull-in behavior of electrostatically actuated microbeams based on a modified couple stress theory

机译：基于修正耦合应力理论的尺寸对静电微束吸合行为的影响

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摘要

A variety of micro-scale experiments have demonstrated that the mechanical property of some metals and polymers on the order of micron scale are size dependence. Taking into account the size effect on the mechanical property of materials and the inherent nonlinear property of electrostatic force, the static pull-in behavior of an electrostatically actuated Bernoulli-Euler microbeam is analyzed on the basis of a modified couple stress theory. The approximate analytical solutions to the pull-in voltage and pull-in displacement of the microbeam are derived by using the Rayleigh-Ritz method. The results show that the normalized pull-in voltage of the microbeam increases by a factor of 3.1 as the micro-beam thickness equals to the material length scale parameter and exhibits size effect remarkably. However, the size effect on the pull-in voltage is almost diminishing as the microbeam thickness is far greater than the material length scale parameter. The normalized pull-in displacement of the microbeam exhibits size independence and equals to 0.448 and 0.398 for the cantilever beam and clamped-clamped beam, respectively.
机译：各种微观实验表明，某些金属和聚合物的力学性能在微米级别上与尺寸有关。考虑到尺寸对材料的机械性能的影响以及静电力固有的非线性特性，在修正耦合应力理论的基础上，分析了静电驱动的Bernoulli-Euler微梁的静态吸合行为。利用Rayleigh-Ritz方法推导了微束的引入电压和引入位移的近似解析解。结果表明，当微束厚度等于材料长度比例参数时，微束的归一化吸合电压增加了3.1倍，并显着显示出尺寸效应。但是，由于微束厚度远大于材料长度比例参数，因此尺寸对拉入电压的影响几乎减小。规范化的微束拉入位移表现出尺寸独立性，分别等于悬臂梁和夹紧梁的0.448和0.398。

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  • 来源
    《Applied Mathematical Modelling》 |2013年第13期|7481-7488|共8页
  • 作者

    Shengli Kong;

  • 作者单位

    School of Mechanical and Automotive Engineering, Shandong Polytechnic University, Jinan 250353, PR China Key Laboratory of Advanced Manufacture and Control Technology for Light Industrial Equipments of Shandong Province, Jinan 250353, PR 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

    Couple stress theory; Bernoulli-Euler beam; Size effect; Pull-in;

    机译：耦合应力理论;伯努利-欧拉光束;尺寸效果;插入式;

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