Flexural sensitivity of a V-shaped cantilever of an atomic force microscope

Lee, Haw-Long; Chang, Win-Jin; Yang, Yu−Ching

doi:10.1016/j.matchemphys.2005.01.046

Cited by 31 publications

(14 citation statements)

References 9 publications

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“…it is also assumed that k n ¼ 0.9k 1 . [44] The relative error percentage of the resonant frequency obtained from the classical beam theory can be defined as…”

Section: Resultsmentioning

confidence: 99%

“…The influence of tip length and contact stiffness on the flexural vibration response of AFM rectangular cantilevers was studied by Wu et al [13] Lin and Wang [14] developed an analytical model for a cantilever with an eccentric tip. Lee et al [15] predicted the flexural sensitivity of a V-shaped AFM microcantilever including the effects of the cantilever slope and interaction forces. Kahrobaiyan et al [16] investigated the resonant frequency and flexural sensitivity of AFM with assembled cantilever probe.…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Size-Dependent Resonant Frequency and Flexural Sensitivity of Atomic Force Microscope Microcantilevers Based on the Modified Strain Gradient Theory

Ansari

Pourashraf

Gholami

et al. 2015

International Journal of Optomechatronics

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In the present study, the resonant frequency and flexural sensitivity of atomic force microscope (AFM) microcantilevers are predicted incorporating size effects. To this end, the modified strain gradient elasticity theory is applied to the classical Euler-Bernoulli beam theory to develop a non-classical beam model which has the capability to capture sizedependent behavior of microcantilevers. On the basis of Hamilton's principle, the sizedependent analytical expressions corresponding to the frequency response and sensitivity of AFM cantilevers are derived. It is observed that by increasing the contact stiffness, the resonant frequencies of AFM cantilevers firstly increase and then tend to remain constant at an especial value. Moreover, the resonant frequencies of AFM cantilevers obtained via the developed non-classical model is higher than those of the classical beam theory, especially for the values of beam thickness close to the internal material length scale parameter.

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“…it is also assumed that k n ¼ 0.9k 1 . [44] The relative error percentage of the resonant frequency obtained from the classical beam theory can be defined as…”

Section: Resultsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Size-Dependent Resonant Frequency and Flexural Sensitivity of Atomic Force Microscope Microcantilevers Based on the Modified Strain Gradient Theory

Ansari

Pourashraf

Gholami

et al. 2015

International Journal of Optomechatronics

View full text Add to dashboard Cite

show abstract

“…1, the interactions between sample surfaces and the probing tips for flexural vibrations are modeled by two linear springs with stiffness k 1 and k 2 , which represent the contact stiffness of the sample surfaces. This simplification is prevalent among the researchers in order to determine the AFM sensitivity [9][10][11][12]24].…”

Section: Discussionmentioning

confidence: 99%

“…In this study, Rayleigh-Ritz method [10] is utilized in order to obtain the ACP's flexural resonant frequencies and sensitivities. So, the maximum kinetic and potential energies of the ACP are introduced as Fig.…”

Section: Discussionmentioning

confidence: 99%

“…Wu et al [9] studied the effect of tip length and both normal and lateral contact stiffness on the flexural vibration response of the AFM rectangular cantilever. Using the Rayleigh-Ritz method, Lee et al [10] studied the flexural sensitivity of a V-shaped AFM cantilever taking into consideration the cantilever slope and both normal and lateral interaction forces. Chang et al [11] analytically derived a closed-form solution for both flexural and torsional sensitivities of the conventional AFM cantilever with rectangular cross-section and investigated the surface damping effect on the flexural and torsional sensitivities of some vibration modes.…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Sensitivity and resonant frequency of an AFM with sidewall and top-surface probes for both flexural and torsional modes

Kahrobaiyan

Ahmadian

Haghighi

et al. 2010

International Journal of Mechanical Sciences

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Dynamic analysis of flexural vibration mode of an atomic force microscope cantilever with a sidewall probe in liquid

Payam

2020

Microscopy Res & Technique

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In this paper, dynamic behavior and the resonance frequencies of flexural vibration modes of an atomic force microscope cantilever with sidewall probe immersed in liquid to surface stiffness variations have been investigated and a closed-form expression is derived. Using numerical analysis, the flexural resonance frequencies of microcantilever immersed in liquid are calculated and the results are compared with the air environment. Then, the effect of sidewall length and normal stiffness on the frequency is investigated. Moreover, the surface-coupled effect between the cantilever and simple surface when the cantilever is close to the surface is considered and its effect on the quality factors of the first to fourth modes is studied.

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Flexural sensitivity of a V-shaped cantilever of an atomic force microscope

Cited by 31 publications

References 9 publications

Size-Dependent Resonant Frequency and Flexural Sensitivity of Atomic Force Microscope Microcantilevers Based on the Modified Strain Gradient Theory

Size-Dependent Resonant Frequency and Flexural Sensitivity of Atomic Force Microscope Microcantilevers Based on the Modified Strain Gradient Theory

Sensitivity and resonant frequency of an AFM with sidewall and top-surface probes for both flexural and torsional modes

Dynamic analysis of flexural vibration mode of an atomic force microscope cantilever with a sidewall probe in liquid

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