Equilibrium and bifurcation of varying cross-section microcantilevers subject to the atomic force

Li Qun Chen; Hao Chen; Jean W. Zu

doi:10.1016/j.chaos.2005.08.194

Equilibrium and bifurcation of varying cross-section microcantilevers subject to the atomic force

Li Qun Chen
, Hao Chen
, Jean W. Zu

Shanghai University

Research output: Contribution to journal › Article › peer-review

4 Scopus citations

Abstract

This paper treats a microcantilever with varying cross-section subject to interatomic force derived from the Lennard-Jones potential. Such a microcantilever may be used in the atomic force microscope. The equilibrium configurations are calculated via the Bernoulli-Euler beam theory. The effect of the microcantilever length and its working distance from the sample on the number and the stability of the equilibrium configurations are analyzed via the Lagrange-Dirichlet theorem.

Original language	English
Pages (from-to)	1159-1164
Number of pages	6
Journal	Chaos, Solitons and Fractals
Volume	28
Issue number	5
DOIs	https://doi.org/10.1016/j.chaos.2005.08.194
State	Published - Jun 2006

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10.1016/j.chaos.2005.08.194

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title = "Equilibrium and bifurcation of varying cross-section microcantilevers subject to the atomic force",

abstract = "This paper treats a microcantilever with varying cross-section subject to interatomic force derived from the Lennard-Jones potential. Such a microcantilever may be used in the atomic force microscope. The equilibrium configurations are calculated via the Bernoulli-Euler beam theory. The effect of the microcantilever length and its working distance from the sample on the number and the stability of the equilibrium configurations are analyzed via the Lagrange-Dirichlet theorem.",

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AU - Zu, Jean W.

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N2 - This paper treats a microcantilever with varying cross-section subject to interatomic force derived from the Lennard-Jones potential. Such a microcantilever may be used in the atomic force microscope. The equilibrium configurations are calculated via the Bernoulli-Euler beam theory. The effect of the microcantilever length and its working distance from the sample on the number and the stability of the equilibrium configurations are analyzed via the Lagrange-Dirichlet theorem.

AB - This paper treats a microcantilever with varying cross-section subject to interatomic force derived from the Lennard-Jones potential. Such a microcantilever may be used in the atomic force microscope. The equilibrium configurations are calculated via the Bernoulli-Euler beam theory. The effect of the microcantilever length and its working distance from the sample on the number and the stability of the equilibrium configurations are analyzed via the Lagrange-Dirichlet theorem.

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U2 - 10.1016/j.chaos.2005.08.194

DO - 10.1016/j.chaos.2005.08.194

M3 - Article

AN - SCOPUS:29144517808

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EP - 1164

JO - Chaos, Solitons and Fractals

JF - Chaos, Solitons and Fractals

IS - 5

ER -

Equilibrium and bifurcation of varying cross-section microcantilevers subject to the atomic force

Abstract

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