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Mathematical Modeling and Stability Analysis of a Vacuum Gap Clamped-Clamped Micro-Beam For Thermo-Tunneling Application

机译:热隧道应用中真空间隙夹紧式微束的数学建模和稳定性分析

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摘要

Combined thermionic emission and tunneling of hot electrons (thermo-tunneling) has emerged as a potential new solid state cooling technology. Practical implementation of thermotunneling, however, requires the formation of a nanometer-sized gap spanning macroscopically significant surfaces. Thermotunneling is a term used to describe combined emission of hot electrons (thermionic emission) and tunneling of electrons through a narrow potential barrier between two surfaces (field emission). Thermo-tunneling of hot electrons across a few nanometer gap has application to vacuum electronics, at panel displays, and holds great potential in thermo-electric cooling and energy generation. Development of new thermo-tunneling applications requires creation of a stable nanometer gap between two surfaces. Formation of such a small scale gap is very challenging. Due to the various type of the forces that come to the picture in the scale of nanometer gap creates a complex interaction between the engaged surfaces. In this project different setups of a test device is suggested to form a nanometer-sized gap appropriate for tunneling current generation. Having a mathematical model describing the physical characteristics of such a system is inevitable in order to examine the stability of the system's dynamics. The first set of externally applied forces selected to stabilize the system is composed of electrostatic force that attracts two surfaces opposed by an electro-magnetic force. The electro-magnetic force is produced by applying an external magnetic field to in the proximity of the thin flexible electrode which carries electrical current due to the electron tunneling. The orientation of the external magnetic field is set to generate a force in the opposite direction of the electrostatic force. The second setup of the experimental model is composed of electrostatic force opposed by the thermoelastic force. The thermoelastic force is generated due to the thermal expansion/contraction of the flexible beam. The configuration of the designed device determines the direction of which the thermoelastic force is applied. This project is focused on our effort to investigate the stability of the thin flexible micro structure under mentioned opposing forces and feasibility study of the fabrication of such a device.
机译:结合热电子发射和热电子隧穿(热隧穿)已成为一种潜在的新型固态冷却技术。然而,热隧道的实际实施需要跨越纳米级重要表面形成纳米级间隙。热隧穿是一个术语,用于描述热电子的组合发射(热电子发射)和电子通过两个表面之间的狭窄势垒(电场发射)的隧穿。跨越几纳米间隙的热电子热隧道技术已应用于面板显示器的真空电子设备,在热电冷却和能量产生方面具有巨大潜力。开发新的热隧道技术需要在两个表面之间创建稳定的纳米间隙。形成如此小规模的差距非常具有挑战性。由于以纳米级间隙的形式出现在图片上的力的类型各异,因此在接合表面之间产生了复杂的相互作用。在该项目中,建议使用测试设备的不同设置来形成适合于隧穿电流产生的纳米级间隙。为了检查系统动力学的稳定性,不可避免地需要具有描述此类系统物理特性的数学模型。为稳定系统而选择的第一组外部作用力由静电力组成,该静电力吸引与电磁力相对的两个表面。电磁力是通过在薄的柔性电极附近施加外部磁场而产生的,该柔性电极由于电子隧穿而传输电流。设置外部磁场的方向以产生与静电力相反的力。实验模型的第二种设置由与热弹性力相反的静电力组成。由于弹性梁的热膨胀/收缩而产生热弹性力。设计设备的配置决定了施加热弹性力的方向。该项目的重点是我们在上述相反作用力下研究薄柔性微结构的稳定性的努力,以及这种装置制造的可行性研究。

著录项

  • 作者

    Ganji Mahdi;

  • 作者单位
  • 年度 2015
  • 总页数
  • 原文格式 PDF
  • 正文语种 en_US
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