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  1. Journal of the Brazilian Society of Mechanical Sciences and Engineering
  2. Journal of the Brazilian Society of Mechanical Sciences and Engineering : Volume 39
  3. Journal of the Brazilian Society of Mechanical Sciences and Engineering : Volume 39, Issue 12, December 2017
  4. Nonlinear vibration of AFM microcantilevers with sidewall probe
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Journal of the Brazilian Society of Mechanical Sciences and Engineering : Volume 40
Journal of the Brazilian Society of Mechanical Sciences and Engineering : Volume 39
Journal of the Brazilian Society of Mechanical Sciences and Engineering : Volume 39, Issue 12, December 2017
Analytical approach on leaflet flutter on biological prosthetic heart valves
Sound attenuation in air–water media with rough bubbly interface at low frequencies considering bubble resonance dispersion
Nonlinear vibration of AFM microcantilevers with sidewall probe
Nonlinear vibration analysis of a Timoshenko beam with concentrated mass using variational iteration method
Vibration performance evaluation of planar flexible multibody systems with joint clearance
Dynamic modeling and analysis of spur gears considering friction–vibration interactions
An improved Hilbert vibration decomposition method for analysis of rotor fault signals
A simplified-nonlocal model for transverse vibration of nanotubes acted upon by a moving nanoparticle
Simulation analysis of electromechanical performance of crawler of mobile crushing station
Study of micropolar fluid flow inside a magnetohydrodynamic micropump
Cattaneo–Christov double-diffusion model for flow of Jeffrey fluid
Numerical investigation on the orifice cavitating water jet considering the fluid viscosity’s effects on bubbles’ growth and collapse
Large eddy simulation of thermal turbulent mixing and reduction of temperature fluctuations with swirl in T-junction
Improving efficiency of SPH method for simulation of free surface flows using a new treatment of Neumann boundary conditions
Non-Newtonian fluid flow induced by pressure gradient and time-periodic electroosmosis in a microtube
Effects of entropy generation on Powell Eyring fluid in a porous channel
Numerical analysis of MHD three-dimensional Carreau nanoliquid flow over bidirectionally moving surface
A method based on spindle motor current harmonic distortion measurements for tool wear monitoring
A novel approach for the rolling force calculation of cold rolled sheet
Modelling and multiobjective optimization for productivity improvement in high speed milling of Ti–6Al–4V using RSM and GA
Estimation of surface roughness using cutting parameters, force, sound, and vibration in turning of Inconel 718
Process optimization for maximizing bushing length in thermal drilling using integrated ANN-SA approach
Investigation of microstructure and mechanical properties in asymmetrically rolled copper wire
Modelling and application of response surface optimization to optimize cutting parameters for minimizing cutting forces and surface roughness in high-speed, ball-end milling of Al2014-T6
Measurement and prediction of cutting temperatures during dry milling: review and discussions
Formation mechanism study on tooth surface of two gear finishing processes: combined theoretical and experimental approaches
Non-circular gear continuous generating machining interpolation method and experimental research
Theoretical and experimental investigation of hydro-mechanical deep drawing of hemi-prolate spheroid cups
Prediction of the convective heat transfer coefficient of cutting fluid in helical drills
Assembling of thick-section HSLA steel with one seam per layer multi-pass PC-GMA welding producing superior quality
An improved inverse method by envelope fitting for prediction of contact stresses in strip rolling
Correction to: Study on the roller enveloping end face internal engagement worm gear
Journal of the Brazilian Society of Mechanical Sciences and Engineering : Volume 39, Issue 11, November 2017
Journal of the Brazilian Society of Mechanical Sciences and Engineering : Volume 39, Issue 10, October 2017
Journal of the Brazilian Society of Mechanical Sciences and Engineering : Volume 39, Issue 9, September 2017
Journal of the Brazilian Society of Mechanical Sciences and Engineering : Volume 39, Issue 8, August 2017
Journal of the Brazilian Society of Mechanical Sciences and Engineering : Volume 39, Issue 7, July 2017
Journal of the Brazilian Society of Mechanical Sciences and Engineering : Volume 39, Issue 6, June 2017
Journal of the Brazilian Society of Mechanical Sciences and Engineering : Volume 39, Issue 5, May 2017
Journal of the Brazilian Society of Mechanical Sciences and Engineering : Volume 39, Issue 4, April 2017
Journal of the Brazilian Society of Mechanical Sciences and Engineering : Volume 39, Issue 3, March 2017
Journal of the Brazilian Society of Mechanical Sciences and Engineering : Volume 39, Issue 2, February 2017
Journal of the Brazilian Society of Mechanical Sciences and Engineering : Volume 39, Issue 1, January 2017
Journal of the Brazilian Society of Mechanical Sciences and Engineering : Volume 38
Journal of the Brazilian Society of Mechanical Sciences and Engineering : Volume 37
Journal of the Brazilian Society of Mechanical Sciences and Engineering : Volume 36
Journal of the Brazilian Society of Mechanical Sciences and Engineering : Volume 35

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Nonlinear vibration of AFM microcantilevers with sidewall probe

Content Provider SpringerLink
Author Vatankhah, R.
Copyright Year 2017
Abstract In this paper, an atomic force microscope (AFM) with an assembled cantilever probe (ACP) capable of measurement at sidewalls and edges is modeled and its nonlinear vibration is investigated. The ACP comprises a horizontal microcantilever, a vertical assembled extension located at the free end of the microcantilever and a tip located at the free end of the extension. Utilizing Hamilton principle, the governing partial differential equation (PDE) of the ACP vibration and corresponding boundary conditions are obtained. Subsequently, the governing ordinary differential equation (ODE) is derived applying Galerkin method to the aforementioned PDE. Since the ODE is nonlinear, perturbation techniques are employed to solve it for two major functional modes of AFMs: amplitude modulation (AM) and frequency modulation (FM). Effects of different factors including geometrical parameters on the frequency responses of the system are delineated during some figures in which the jump phenomena can be observed. The results show that the system becomes more nonlinear as the length of the vertical extension increases; however, increase of the tip length has a decreasing effect on the nonlinearity of the system.
Starting Page 4873
Ending Page 4886
Page Count 14
File Format PDF
ISSN 16785878
Journal Journal of the Brazilian Society of Mechanical Sciences and Engineering
Volume Number 39
Issue Number 12
e-ISSN 18063691
Language English
Publisher Springer Berlin Heidelberg
Publisher Date 2017-06-08
Publisher Place Berlin, Heidelberg
Access Restriction One Nation One Subscription (ONOS)
Subject Keyword Atomic force microscopy (AFM) Nonlinear vibration Perturbation techniques Micro-structures Nonlinear dynamics analysis Mechanical Engineering
Content Type Text
Resource Type Article
Subject Applied Mathematics Industrial and Manufacturing Engineering Automotive Engineering Mechanical Engineering Aerospace Engineering
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