Frequency response of cantilever beams immersed in viscous fluids with applications to the atomic force microscope: Arbitrary mode order

Cornelis A. Van Eysden; John E. Sader

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Frequency response of cantilever beams immersed in viscous fluids with applications to the atomic force microscope: Arbitrary mode order

机译：悬臂梁浸入粘性流体的频率响应及其在原子力显微镜上的应用：任意模式阶

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The frequency response of a cantilever beam is well known to depend strongly on the fluid in which it is immersed. In this article, we present a theoretical model for the frequency response of a rectangular cantilever beam immersed in a viscous fluid that enables the flexural and torsional modes of arbitrary order to be calculated. This extends the previous models of Sader and Green [J. Appl. Phys. 84, 64 (1998); 92, 6262 (2002)], which were formulated primarily for the fundamental mode and the next few harmonics, to the general case of arbitrary mode order by accounting for the three-dimensional nature of the flow field around the cantilever beam. Due to its importance in atomic force microscope applications, results for the thermal noise spectrum are presented and the influence of mode order on the frequency response investigated.

机译：众所周知，悬臂梁的频率响应在很大程度上取决于其所浸入的流体。在本文中，我们为浸入粘性流体中的矩形悬臂梁的频率响应提供了一个理论模型，该模型能够计算任意阶的弯曲和扭转模态。这扩展了Sader和Green的先前模型[J.应用物理84，64（1998）; 92，6262（2002）]，主要是针对基本模式和随后的几次谐波，通过考虑悬臂梁周围流场的三维特性，针对任意模式阶的一般情况而制定的。由于其在原子力显微镜应用中的重要性，给出了热噪声谱的结果，并研究了模序对频率响应的影响。

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来源
《Journal of Applied Physics》 |2007年第4期|p.044908.1-044908.11|共11页
作者
Cornelis A. Van Eysden; John E. Sader;
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作者单位

Department of Mathematics and Statistics, University of Melbourne, Victoria 3010, Australia;

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收录信息美国《科学引文索引》(SCI);美国《工程索引》(EI);美国《生物学医学文摘》(MEDLINE);
原文格式 PDF
正文语种 eng
中图分类应用物理学;计量学;
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机译：悬臂梁浸入固体表面附近粘性流体中的频率响应及其在原子力显微镜上的应用
2. Frequency response of cantilever beams immersed in compressible fluids with applications to the atomic force microscope [J] . Cornells A. Van Eysden, John E. Sader Journal of Applied Physics . 2009,第9期

机译：浸入可压缩流体中的悬臂梁的频率响应及其在原子力显微镜上的应用
3. Frequency response of atomic force microscope cantilever driven by fluid [J] . Volkov AO, Burnell-Gray JS, Datta PK Applied Physics Letters . 2004,第22期

机译：流体驱动原子力显微镜悬臂梁的频率响应
4. PARAMETER IDENTIFICATION OF A CANTILEVER BEAM IMMERSED IN VISCOUS FLUIDS WITH POTENTIAL APPLICATIONS TO THE PROBE CALIBRATION OF ATOMIC FORCE MICROSCOPES [C] . Wenlung Li, S. P. Tseng Proceedings of the ASME international design engineering technical conferences and computers and information in engineering conference 2009 . 2009

机译：潜在流体中浸没在粘性流体中的悬臂梁的参数识别，用于原子力显微镜探针的标定
5. Three-dimensional measurement of atomic force microscope cantilever deformation to determine the three-dimensional applied force vector. [D] . Kumanchik, Lee. 2010

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6. Tip Effect of the Tapping Mode of Atomic Force Microscope in Viscous Fluid Environments [O] . Hua-Ju Shih, Po-Jen Shih 2015

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7. The Stochastic Dynamics of Rectangular and V-shaped Atomic Force Microscope Cantilevers in a Viscous Fluid and Near a Solid Boundary [O] . Clark, M. T., Paul, M. R. 2008

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Frequency response of cantilever beams immersed in viscous fluids with applications to the atomic force microscope: Arbitrary mode order

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