• CN:11-2187/TH
  • ISSN:0577-6686

›› 2002, Vol. 38 ›› Issue (9): 52-56.

• 论文 • 上一篇    下一篇

微型机械薄膜结构在量子力作用下的稳定性和粘附问题

丁建宁;杨继昌;蔡兰;温诗铸   

  1. 江苏大学微纳米科学技术研究中心;清华大学
  • 发布日期:2002-09-15

MECHANICAL STABILITY AND STICKING OF A MEMBRANE STRIP STRUCTURE IN MEMS UNDER CASIMIR FORCES

Ding Jianning; Yang Jichang; Cai Lan;Wen Shizhu   

  1. Jiangsu University Tsinghua University
  • Published:2002-09-15

摘要: 稳定性和粘附在微型机械的制造和运动过程中是很重要的问题。由于微型机械运动构件之间的间隙通常处于微米、纳米量级,因此需考虑量子力学的影响,如Casimir力。首先对两平行的多晶硅平板之间的Casimir力进行了分析,并考虑表面粗糙度、导电常数和温度的影响,然后讨论了Casimir力对微腔的薄膜结构的作用。当只考虑Casimir力作用时,该结构存在稳定的平衡态和不稳定的非平衡态,由量纲一数K值决定。如果K值大于极值Kl,该结构就会塌陷。极值Kl随薄膜与固定面之间的距离变化而变化。这为评价该系统在给定尺寸参数、材料特性和没有其他力的影响下的稳定性提供了依据,而且可设计出高L/δ比值、不出现塌陷的微型机械薄膜微腔结构。

关键词: Casimir力, 多晶硅, 微型机械, 稳定性, 粘附

Abstract: Mechanical stability and sticking are the troublesome problems in the microfabrication process and operating when components in MEMS working in the sub-micrometer regime, where some quantum mechanical effects, hitherto neglected, will need to be taken into account, for example, the Casimir effect. The analysis of the role of the Casimir effect on a membrane strip structure considering roughness, conductivity and temperature corrections is presented. With nothing other than the Casimir force loading the strip, there exist a stable static equilibrium state and an unstable static equilibrium state. The state can be determined by the value of dimensionless constant K. The membrane strip will collapse if A" is larger than the critical value of K{. Thisjprovides a way to check if a system of given dimensions and material properties will have a stable equilibrium position. This also provides a way to design a membrane strip with high aspect ratio (Ll§) that is not easily to collapse into the surface.

Key words: Casimir force MEMS Polysilicon Stability Sticking

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