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Effects of Tip Mass and Interaction Force on Nonlinear Behavior of Force Modulation FM-AFM Cantilever

Published online by Cambridge University Press:  23 June 2016

K. E. Torkanpouri ,
H. Zohoor  and
M. H. Korayem
K. E. Torkanpouri
Affiliation:
Department of Mechanical and Aerospace EngineeringScience and Research BranchIslamic Azad UniversityTehran, Iran
H. Zohoor*
Affiliation:
Center of Excellence in Design, Robotics and AutomationMechanical Engineering DepartmentSharif University of TechnologyTehran, Iran The Academy of Sciences of IR IranTehran, Iran
M. H. Korayem
Affiliation:
Department of Mechanical and Aerospace EngineeringScience and Research BranchIslamic Azad UniversityTehran, Iran Robotic Research LaboratoryCenter of Excellence in Experimental Solid Mechanics and DynamicsSchool of Mechanical EngineeringIran University of Science and TechnologyTehran, Iran
*
*Corresponding author (zohoor@sharif.edu, hzohoor@ias.ac.ir)
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Abstract

Influences of the tip mass, excitation mode of Frequency Modulated Atomic Force Microscope (FM-AFM) on the resonance frequency shift in force modulation (FM) mode are studied. Governing equations of motion are determined based on Timoshenko beam model with concentrated end mass. Approach point and base amplitude are set such that the FM-AFM remains just in FM mode. Either the linearized and nonlinear Derjaguin-Muller-Toporov (DMT) model are investigated. Then frequency shifts are determined for various interaction force regimes. It is showed the effect of tip mass on frequency shift is significant even for small tips. Nonlinear model shows lower frequency shifts in comparison with linearized model. It is showed that the amplitude of response is increased by increasing the tip mass and order of base excitation. Deviation of frequency shift between linearized and nonlinear solution are studied. It is declared that the error between linearized and nonlinear model is complicated. A deviation index is used for explaining behavior of error while tip mass and excitation mode are changed. It is showed, this index predicts the trend of error in all excitation modes and force cases. Behavior of system is linearizing by increasing the order of excitation, generally.

Keywords

Force Modulation FM-AFMTip-massNonlinear vibrationDeviation index
Type
Research Article
Information
Journal of Mechanics , Volume 33 , Issue 2 , April 2017 , pp. 257 - 268
Copyright
Copyright © The Society of Theoretical and Applied Mechanics 2017 

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