Finite element simulations of nonlinear vibrations of atomic force microscope cantilevers

2002 ◽  
Author(s):  
Kangzhi Shen ◽  
Joseph A. Turner
Keyword(s):  
Finite Element ◽  
Atomic Force Microscope ◽  
Nonlinear Vibrations ◽  
Finite Element Simulations ◽  
Atomic Force

Modelling of Nanoindentation of Compliant Layers on Stiffer Substrates using Finite Element Analysis

2007 ◽  
Vol 1025 ◽  
Author(s):  
Charles A Clifford ◽  
Martin P Seah
Keyword(s):  
Finite Element Analysis ◽  
Finite Element ◽  
Atomic Force Microscope ◽  
Indentation Depth ◽  
Element Analysis ◽  
Depth Data ◽  
Atomic Force ◽  
Reduced Modulus ◽  
Compliant Layer ◽  
Initial Results

AbstractNanoindentation using an Atomic Force Microscope (AFM) or a nanoindenter was modelled using Finite Element Analysis (FEA). Force versus indentation depth data were taken for a system consisting of a compliant layer on a stiffer substrate. It was found that the FEA results may be expressed analytically by a simple function that describes the reduced modulus value obtained with Oliver and Pharr's method for any moduli values, thickness of layer or radius of the indenter tip. Initial results obtained by varying the Poisson's ratio of the layer and substrate are also presented.

scholarly journals Invariant slow manifolds of an Atomic Force Microscope system under the Derjaguin-Muller-Toporov forces and a slow harmonic base motion

2018 ◽  
Vol 241 ◽  
pp. 01004
Author(s):  
Sara Baghdadi ◽  
Faouzi Lakrad ◽  
Mohamed Belhaq
Keyword(s):  
Atomic Force Microscope ◽  
Nonlinear Vibrations ◽  
Linear Mass ◽  
Tapping Mode ◽  
Operating Modes ◽  
Slow Manifolds ◽  
Atomic Force ◽  
Saddle Node ◽  
Base Displacement ◽  
Mass Spring

In the present work, we study the nonlinear vibrations of an AFM system, modeled as a linear mass-spring-damper system, under the Derjaguin-Muller-Toporov forces and subject to imposed slow harmonic base displacement. The invariant slow manifolds of the system are approximated and their bifurcations are investigated. Then, the charts of behaviors of the different operating modes of the AFM are determined. The dynamic saddle-node bifurcations of the contact and the noncontact invariant slow manifolds are found to be responsible for the occurrence of the tapping mode.

The Experiment and Simulation Method to Calibrate the Shear Modulus of Individual ZnO Nanorod

2016 ◽  
Vol 16 (4) ◽  
pp. 4040-4043
Author(s):  
Guangbin Yu ◽  
Chengming Jiang ◽  
Bing Dai ◽  
Jinhui Song
Keyword(s):  
Finite Element ◽  
Shear Modulus ◽  
Atomic Force Microscope ◽  
Simulation Method ◽  
Experimental Result ◽  
Experimental Measurements ◽  
Zno Nanorod ◽  
Atomic Force ◽  
Element Simulation ◽  
General Method

A general method is presented to directly measure the shear modulus of an individual nanorod using atomic force microscope (AFM). To obtain shear modulus with less experiment error, finite element simulation is employed to simulate the twisting process of a ZnO nanorod. Based on the experimental measurements, the shear modulus of ZnO nanorod with 4 μm in length and 166 nm in radius is characterized to be 9.1±0.2 GPa, which is obviously more accurate than the simple averaged experimental result.

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