Applied Mathematics and Mechanics (English Edition) ›› 2014, Vol. 35 ›› Issue (12): 1573-1590.doi: https://doi.org/10.1007/s10483-014-1880-6

• 论文 • 上一篇    下一篇

Effects of size-dependent elasticity on stability of nanotweezers

A. FARROKHABADI1, A. KOOCHI2, A. KAZEMI3, M. ABADYAN2   

  1. 1. Department of Aerospace Engineering, Semnan University, Semnan 35131-19111, Iran;
    2. Mechanical Engineering Group, Shahrekord Branch, Islamic Azad University, Shahrekord 88137-33395, Iran;
    3. Department of Physics, University of Bath, Bath BA2-7AY, United Kingdom
  • 收稿日期:2013-08-07 修回日期:2014-05-01 出版日期:2014-12-01 发布日期:2014-12-01
  • 通讯作者: M. ABADYAN, Professor, Ph.D., E-mail: abadyan@yahoo.com E-mail:abadyan@yahoo.com

Effects of size-dependent elasticity on stability of nanotweezers

A. FARROKHABADI1, A. KOOCHI2, A. KAZEMI3, M. ABADYAN2   

  1. 1. Department of Aerospace Engineering, Semnan University, Semnan 35131-19111, Iran;
    2. Mechanical Engineering Group, Shahrekord Branch, Islamic Azad University, Shahrekord 88137-33395, Iran;
    3. Department of Physics, University of Bath, Bath BA2-7AY, United Kingdom
  • Received:2013-08-07 Revised:2014-05-01 Online:2014-12-01 Published:2014-12-01

摘要:

It is well-recognized that the electromechanical response of a nanostructure is affected by its element size. In the present article, the size dependent stability behavior and nanotweezers fabricated from nanowires are investigated by modified couple stress elasticity (MCSE). The governing equation of the nanotweezers is obtained by taking into account the presence of Coulomb and intermolecular attractions. To solve the equation, four techniques, i.e., the modified variational iteration method (MVIM), the monotonic iteration method (MIM), the MAPLE numerical solver, and a lumped model, are used. The variations of the arm displacement of the tweezers versus direct current (DC) voltage are obtained. The instability parameters, i.e., pull-in voltage and deflection of the system, are computed. The results show that size-dependency will affect the stability of the nanotweezers significantly if the diameter of the nanowire is of the order of the length scale. The impact of intermolecular attraction on the size-dependent stability of the system is discussed.

关键词: nanowire, stability analysis, intermolecular force, nanotweezer, modified couple stress elasticity (MCSE)

Abstract:

It is well-recognized that the electromechanical response of a nanostructure is affected by its element size. In the present article, the size dependent stability behavior and nanotweezers fabricated from nanowires are investigated by modified couple stress elasticity (MCSE). The governing equation of the nanotweezers is obtained by taking into account the presence of Coulomb and intermolecular attractions. To solve the equation, four techniques, i.e., the modified variational iteration method (MVIM), the monotonic iteration method (MIM), the MAPLE numerical solver, and a lumped model, are used. The variations of the arm displacement of the tweezers versus direct current (DC) voltage are obtained. The instability parameters, i.e., pull-in voltage and deflection of the system, are computed. The results show that size-dependency will affect the stability of the nanotweezers significantly if the diameter of the nanowire is of the order of the length scale. The impact of intermolecular attraction on the size-dependent stability of the system is discussed.

Key words: intermolecular force, stability analysis, nanowire, modified couple stress elasticity (MCSE), nanotweezer

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