Flexural vibration of an atomic force microscope cantilever based on modified couple stress theory

LIang, L, Ke, L, Wang, Y, Yang, J and Kitipornchai, S 2015, 'Flexural vibration of an atomic force microscope cantilever based on modified couple stress theory', International Journal of Structural Stability and Dynamics, vol. 15, no. 7, 1540025, pp. 1-16.


Document type: Journal Article
Collection: Journal Articles

Title Flexural vibration of an atomic force microscope cantilever based on modified couple stress theory
Author(s) LIang, L
Ke, L
Wang, Y
Yang, J
Kitipornchai, S
Year 2015
Journal name International Journal of Structural Stability and Dynamics
Volume number 15
Issue number 7
Article Number 1540025
Start page 1
End page 16
Total pages 16
Publisher World Scientific Publishing Co. Pte. Ltd.
Abstract This paper is concerned with the flexural vibration of an atomic force microscope (AFM) cantilever. The cantilever problem is formulated on the basis of the modified couple stress theory and the Timoshenko beam theory. The modified couple stress theory is a nonclassical continuum theory that includes one additional material parameter to describe the size effect. By using the Hamilton's principle, the governing equation of motion and the boundary conditions are derived for the AFM cantilevers. The equation is solved using the differential quadrature method for the natural frequencies and mode shapes. The effects of the sample surface contact stiffness, length scale parameter and location of the sensor tip on the flexural vibration characteristics of AFM cantilevers are discussed. Results show that the size effect on the frequency is significant when the thickness of the microcantilever has a similar value to the material length scale parameter.
Subject Civil Engineering not elsewhere classified
Mechanical Engineering not elsewhere classified
Keyword(s) Atomic force microscope
modified couple stress theory
size effect
vibration
DOI - identifier 10.1142/S0219455415400258
Copyright notice © World Scientific Publishing Company
ISSN 0219-4554
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Citation counts: TR Web of Science Citation Count  Cited 17 times in Thomson Reuters Web of Science Article | Citations
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