Effect of tip mass on modal flexural sensitivity of rectangular AFM cantilevers to surface stiffness variations

Amir Farokh Payam, Morteza Fathipour

Research output: Contribution to journalArticle

3 Citations (Scopus)

Abstract

In this paper, the effect of the tip mass on the sensitivity of flexural vibration modes of an AFM rectangular cantilever has been studied and a characteristics equation for the AFM cantilever has been derived. Then, based on the characteristics equation, a closed form expression for the flexural modal sensitivity of the rectangular cantilever to the surface stiffness variations has been derived. Using numerical experiments, the effect of various tip masses on the sensitivity has been investigated. The results show that for low stiffness materials, the sensitivity of AFM cantilevers with smaller tip masses is more than the cantilever with greater tip masses. While for the materials with high stiffness, the difference in sensitivities is not significant. However, for the cantilevers with bigger tip masses sensitivity is higher.
LanguageEnglish
JournalArabian Journal for Science and Engineering
Volume39
DOIs
Publication statusPublished - 12 Sep 2013

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Stiffness
Experiments

Keywords

  • AFM cantilever
  • Sensitivity
  • Surface stiffness
  • Tip mass

Cite this

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Effect of tip mass on modal flexural sensitivity of rectangular AFM cantilevers to surface stiffness variations. / Farokh Payam, Amir; Fathipour, Morteza.

Vol. 39, 12.09.2013.

Research output: Contribution to journalArticle

TY - JOUR

T1 - Effect of tip mass on modal flexural sensitivity of rectangular AFM cantilevers to surface stiffness variations

AU - Farokh Payam, Amir

AU - Fathipour, Morteza

PY - 2013/9/12

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N2 - In this paper, the effect of the tip mass on the sensitivity of flexural vibration modes of an AFM rectangular cantilever has been studied and a characteristics equation for the AFM cantilever has been derived. Then, based on the characteristics equation, a closed form expression for the flexural modal sensitivity of the rectangular cantilever to the surface stiffness variations has been derived. Using numerical experiments, the effect of various tip masses on the sensitivity has been investigated. The results show that for low stiffness materials, the sensitivity of AFM cantilevers with smaller tip masses is more than the cantilever with greater tip masses. While for the materials with high stiffness, the difference in sensitivities is not significant. However, for the cantilevers with bigger tip masses sensitivity is higher.

AB - In this paper, the effect of the tip mass on the sensitivity of flexural vibration modes of an AFM rectangular cantilever has been studied and a characteristics equation for the AFM cantilever has been derived. Then, based on the characteristics equation, a closed form expression for the flexural modal sensitivity of the rectangular cantilever to the surface stiffness variations has been derived. Using numerical experiments, the effect of various tip masses on the sensitivity has been investigated. The results show that for low stiffness materials, the sensitivity of AFM cantilevers with smaller tip masses is more than the cantilever with greater tip masses. While for the materials with high stiffness, the difference in sensitivities is not significant. However, for the cantilevers with bigger tip masses sensitivity is higher.

KW - AFM cantilever

KW - Sensitivity

KW - Surface stiffness

KW - Tip mass

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