Plate geometries for contact resonance atomic force microscopy: Modeling, optimization, and verification

被引:6
作者
Aureli, Matteo [1 ]
Ahsan, Syed N. [1 ]
Shihab, Rafiul H. [1 ]
Tung, Ryan C. [1 ]
机构
[1] Univ Nevada, Dept Mech Engn, Reno 1664 N Virginia St, Reno, NV 89557 USA
基金
美国国家科学基金会;
关键词
ACOUSTIC MICROSCOPY; ELASTIC PROPERTIES;
D O I
10.1063/1.5038727
中图分类号
O59 [应用物理学];
学科分类号
摘要
A novel contact resonance atomic force microscopy (CR-AFM) method utilizing a two-dimensional Kirchhoff-Love plate framework is presented. Theoretical formulations are discussed, and the classic CR-AFM problem is re-cast into an easily implementable generalized eigenvalue problem. An analysis is performed to determine the optimal placement of the sensing tip for plates of different aspect ratios. Finally, an experiment is conducted using the finite element method to numerically verify the proposed technique. By using a plate geometry for CR-AFM and optimizing the sensor tip location, we achieve a higher measurement sensitivity and modal density when compared with standard AFM cantilever geometries. A higher modal density allows CR-AFM measurement to be conducted using more information extracting eigenmodes in a given frequency bandwidth. Published by AIP Publishing.
引用
收藏
页数:10
相关论文
共 20 条
[1]  
Abramowitz M., 1967, HDB MATH FUNCTIONS F
[2]  
[Anonymous], 1985, Matrix Analysis
[3]  
Boresi A.P., 2003, ADV MECH MAT, VSixth
[4]  
Gould S.H., 1966, Variational Methods for Eigenvalue Problems. An Introduction to the Weinstein Method of Intermediate Problems, V2nd
[5]   Atomic force acoustic microscopy methods to determine thin-film elastic properties [J].
Hurley, DC ;
Shen, K ;
Jennett, NM ;
Turner, JA .
JOURNAL OF APPLIED PHYSICS, 2003, 94 (04) :2347-2354
[6]   Viscoelastic Property Mapping with Contact Resonance Force Microscopy [J].
Killgore, J. P. ;
Yablon, D. G. ;
Tsou, A. H. ;
Gannepalli, A. ;
Yuya, P. A. ;
Turner, J. A. ;
Proksch, R. ;
Hurley, D. C. .
LANGMUIR, 2011, 27 (23) :13983-13987
[7]   Low-force AFM nanomechanics with higher-eigenmode contact resonance spectroscopy [J].
Killgore, Jason P. ;
Hurley, Donna C. .
NANOTECHNOLOGY, 2012, 23 (05)
[8]   Quantitative subsurface contact resonance force microscopy of model polymer nanocomposites [J].
Killgore, Jason P. ;
Kelly, Jennifer Y. ;
Stafford, Christopher M. ;
Fasolka, Michael J. ;
Hurley, Donna C. .
NANOTECHNOLOGY, 2011, 22 (17)
[9]   Quantitative evaluation of elastic properties of nano-crystalline nickel using atomic force acoustic microscopy [J].
Kopycinska-Mueller, M. ;
Caron, A. ;
Hirsekorn, S. ;
Rabe, U. ;
Natter, H. ;
Hempelmann, R. ;
Birringer, R. ;
Arnold, W. .
ZEITSCHRIFT FUR PHYSIKALISCHE CHEMIE-INTERNATIONAL JOURNAL OF RESEARCH IN PHYSICAL CHEMISTRY & CHEMICAL PHYSICS, 2008, 222 (2-3) :471-498
[10]  
Meirovitch L., 1967, Analytical methods in vibrations