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Deflection of an eccentric tooth of a comb drive in an electrostatic field

机译:在静电场中梳齿驱动器的偏心齿的偏转

摘要

The elastic deflection of a comb drive tooth in an electrostatic field is considered. The tooth can be symmetrically located between two rigid teeth of the matching comb, in which case the problem reduces to a pure bifurcation problem for which the critical voltage can be determined. Alternatively, due to an ap- proximate straight-line mechanism, the tooth can have a uniform initial lateral displacement and a smooth curve of equilibria is found which has a limit point, after which pull-in occurs. An assumed deflection shape and a series expansion of the electrostatic capacity yield the deflection curves for the case with a uniform initial lateral displacement. This shows that pull-in occurs at a voltage that is reduced by a factor that is about pro- portional to the two-third power of the relative lateral initial dis- placement. The theoretical results have been experimentally tested. The results show a qualitative agreement, but the experimental de- flections are larger and the pull-in voltages are lower. These differences can be explained from neglected fringe fields and de- viations from the nominal shape.
机译:考虑了梳齿驱动齿在静电场中的弹性挠度。齿可以对称地位于匹配梳的两个刚性齿之间,在这种情况下,问题减少到可以确定临界电压的纯分叉问题。可替代地,由于近似的直线机构,牙齿可以具有均匀的初始侧向位移,并且可以找到具有极限点的平滑的平衡曲线,此后发生拉入。假定的挠曲形状和静电电容的一系列扩展会产生具有均匀初始横向位移的情况下的挠曲曲线。这表明吸合发生在电压降低了大约与相对横向初始位移的三分之二功率成比例的情况下。理论结果已通过实验测试。结果显示出定性的一致性,但实验偏差较大,而引入电压较低。这些差异可以通过忽略的边缘场和与标称形状的偏差来解释。

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