Abstract
The aim of this article is modeling of the atomic force microscope as a lumped parameter system in its dynamic contact mode of operation. The Derjaguin–Muller–Toporov (DMT) force is considered as the interaction of the cantilever tip with the sample surface, and it introduces the nonlinearity to the model. The frequency response equation of the model is obtained by the method of multiple scales. As the results, effects of the nonlinearity, amplitude of excitation, and the damping coefficient on the frequency response are investigated.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
Binnig G, Quate CF, Geber Ch (1986) Atomic Force Microscope Phys Rev Lett 56(9):930
Bahrami MR, Ramezani A, Osgouie K (2010) Modeling and simulation of non-contact atomic force microscope. In: Proceedings of the ASME 2010 10th conference on engineering system design and analysis, ESDA 2010. Vol. 5. pp 565–569
Materassi D, Basso M, Genesio R (2004) Frequency analysis of atomic force microscopes with repulsive-attractive interaction potentials. In: Proceedings of IEEE conference on decision and control. pp 3059–3061
Sebastian A, Salapaka MV, Chen DJ, Cleveland JP (2003) Harmonic analysis based modeling of tapping-mode AFM. In: Proceedings of American control conference. pp 232–236
Wang L (1998) Analytical descriptions of the tapping-mode atomic force microscopy response. Appl Phys Lett 73(25):3781–3783
Gauthier M, Tsukada M (2000) Damping mechanism in dynamic force microscopy. Phys Rev Lett 85(25):5348–5351
Belikov S, Magonov S (2009) Classification of dynamic atomic force microscopy control modes based on asymptotic nonlinear mechanics. In: Proceedings of American control conference. pp 979–984
Bahrami MR, Abeygunavardana VB (2018) Modeling and simulation of atomic force microscope through bond graph. Lecture notes mechanical engineering: advances in mechanical engineering, pp 9–15. Springer ISBN: 978-3-319-72928-2. 2018. PartF5
Nayfeh, AH, Mook DT (1995) Nonlinear oscillations, pp. 161–224. A Wiley-Interscience publication, New York
Bender CM, Orszag SA (1999) Advanced mathematical methods for scientists and engineers, pp 544–568. Springer
Kevorkian J, Cole JD (1996) Multiple scale and singular perturbation methods, Springer
Evgrafov AN, Petrov GN (2017) Computer simulation of mechanisms. Lecture notes in mechanical engineering. pp 45–56
Manzhula KP, Naumov AV (2017) Influence of flections’ radius value to local buckling of box-shaped beams with non-linear walls. Int Rev Mech Eng 11(5):326–331
Egorova OV, Shcherbinin DY (2015) 3D documents in the field of history of science and technology. In: 2015 IFToMM World Congress Proceedings, IFToMM
Eliseev KV (2018) Contact forces between wheels and railway determining in dynamic analysis. Numerical simulation. Lecture Notes in Mechanical Engineering pp. 61–70. PartF5
Eliseev VV (2006) Mechanics of a deformable solid. p 231. Publishing house Polytechnic University
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2019 Springer Nature Switzerland AG
About this paper
Cite this paper
Bahrami, M.R., Abeygunawardana, A.W.B. (2019). Modeling and Simulation of Dynamic Contact Atomic Force Microscope. In: Evgrafov, A. (eds) Advances in Mechanical Engineering. Lecture Notes in Mechanical Engineering. Springer, Cham. https://doi.org/10.1007/978-3-030-11981-2_10
Download citation
DOI: https://doi.org/10.1007/978-3-030-11981-2_10
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-030-11980-5
Online ISBN: 978-3-030-11981-2
eBook Packages: EngineeringEngineering (R0)