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Tribology Letters
Published in: Tribology Letters 1/2011

01-07-2011 | Original Paper

A Note on the Two-Spring Tomlinson Model

Authors: Pin Lu, Yee Chong Loke, Xiaosong Tang, Sunil S. Kushvaha, Sean J. O’Shea

Published in: Tribology Letters | Issue 1/2011

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Abstract

In this note, quasistatic solutions of a two-mass-two-spring Tomlinson model for atomic force microscopy are derived, and are compared with the corresponding results of the single-spring Tomlinson model. It is clarified that the solutions of the two models are equivalent provided that the effective spring constant is correctly defined. It is also shown that modeling the onset of stick-slip motion in terms of the criteria defined by explicit tip and cantilever stiffness is the most convenient to investigate the effects of the tip-flexibility on the stick-slip motion.
previous article Stick–Slip Motion and Static Friction in a Nonlinear Deformable Substrate Potential
next article Synergistic Effect of Nano-MoS2 and Anatase Nano-TiO2 on the Lubrication Properties of MoS2/TiO2 Nano-Clusters

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Metadata
Title
A Note on the Two-Spring Tomlinson Model
Authors
Pin Lu
Yee Chong Loke
Xiaosong Tang
Sunil S. Kushvaha
Sean J. O’Shea
Publication date
01-07-2011
Publisher
Springer US
Published in
Tribology Letters / Issue 1/2011
Print ISSN: 1023-8883
Electronic ISSN: 1573-2711
DOI
https://doi.org/10.1007/s11249-011-9787-5

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