Contact Resonance Atomic Force Microscopy Using Long, Massive Tips

Jaquez-Moreno, Tony; Aureli, Matteo; Tung, Ryan C.

doi:10.3390/s19224990

Cited by 5 publications

(18 citation statements)

References 38 publications

(46 reference statements)

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“…These methods have been applied to the study of single crystal silicon (SSC), silicon-based materials [6] and diamond [7]. Recent studies using microcantilevers have further explored the application of vibration methods to the quantification of the behaviour of representative MEMS devices [8,9]. For example, microcantilevers have been used to analyse the mechanical properties of SSC using vibration methods [10].…”

Section: Introductionmentioning

confidence: 99%

Dynamic micromechanical measurement of the flexural modulus of micrometre-sized diameter single natural fibres using a vibrating microcantilever technique

Reda,

Dargent,

Arscott

2023

J. Micromech. Microeng.

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The dynamic response of a structure is a manifestation of its inherent characteristics, including material density, mechanical modulus, thermo- and viscoelastic properties, and geometric properties. Together, these factors influence how the material behaves in dynamic scenarios, dictating its damping properties and behaviour under varying forces. In this study we present a novel approach to accurately determine the flexural (bending) modulus of microscopic diameter natural fibres (flax) using microcantilever vibration analysis. Traditionally, the characterisation of the mechanical properties of fibres has relied on macroscopic methods such as tensile testing, which often results in high scatter in measurement data; furthermore, tensile testing does not accurately represent microscale or dynamic conditions and can be complex in terms of sample preparation and loading. To address this, we have developed a microscale technique involving the fabrication of microcantilevers using flat polypropylene support chips, inspired by microelectromechanical systems approaches. Our method provides a refined method for accurately characterising the mechanical modulus of flax fibres, with reduced data dispersion compared to traditional macroscopic testing. Furthermore, by reducing the influence of inherent fibre defects and maintaining homogeneity along the length of the fibre, our micro-scale technique provides reliable modulus determination. This work opens avenues for improved understanding and application of natural and man-made fibres, such as glass and optical fibres, in a variety of fields.

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Section: Introductionmentioning

confidence: 99%

Dynamic micromechanical measurement of the flexural modulus of micrometre-sized diameter single natural fibres using a vibrating microcantilever technique

Reda,

Dargent,

Arscott

2023

J. Micromech. Microeng.

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“…R d encapsulates the dynamic coupling effects between the beam and the tip by combining the beam and tip static stiffness ratio, multiplied by the mass ratio. For the limit of E 2 → ∞ leading to R d → 0, the model reduces to the rigid tip model presented by Jaquez-Moreno et al [20]. The limit of the nondimensional sample stiffness α → 0 corresponds to the case of a freely vibrating L-shaped beam discussed by Oguamanam et al [34,35].…”

Section: Flexural Vibrationsmentioning

confidence: 98%

“…Thus, utilizing the orthogonality condition as a sensitivity function for determining eigenmode veering and crossing offers a strong advantage in terms of computational efficiency. In the case of a long massive rigid tip, as discussed in [20], the orthogonality condition will include the effects from the natural boundary conditions of tip mass and rotational inertia, and is also different than the simple case of a cantilever beam without any natural boundary conditions.…”

Section: Eigenmode Veering and Crossing And Its Effect On The Cr Meas...mentioning

confidence: 99%

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Contact resonance atomic force microscopy using long elastic tips

Zimron-Politi,

Tung

2023

Nanotechnology

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In this work, a new theoretical model for contact resonance atomic force microscopy, which incorporates the elastic dynamics of a long sensing tip is presented. The model is based on the Euler-Bernoulli beam theory and includes coupling effects from the two-beam structure, also known as an ``L-shaped'' beam in the literature. Here, high-accuracy prediction of the sample stiffness, using several vibration modes with a relative error smaller than 10% for practical working ranges, is demonstrated. A discussion on the model's capability to predict the dynamic phenomena of eigenmode veering and crossing, as the force applied to the sample increases, is presented. The L-shaped beam model presented here is also applicable for structural applications such as: micro-electro-mechanical systems, energy harvesting, and unmanned aerial vehicle landing gear.

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“…For the cantilever tip system, lumped parameter modeling (Kirrou and Belhaq, 2013; Martin et al, 2008; Xing et al, 2020) and distributed parameter modeling (Jaquez-Moreno et al, 2019; Kahrobaiyan et al, 2011; Kuo et al, 2011; Togun, 2016) are two common modeling approaches to determining the mathematical model. The equation of motion of the AFM cantilever can be simplified by using ordinary differential equations in the lumped parameter modeling method.…”

Section: Introductionmentioning

confidence: 99%

Split beam method for determining mode shapes of cantilever beams under multiple loading conditions

Chiu

Chao

2021

Journal of Vibration and Control

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We have developed a general method, dubbed the split beam method, to solve Euler–Bernoulli equations for cantilever beams under multiple loading conditions. This kind of problem is, in general, a difficult inhomogeneous eigenvalue problem. The new idea is to split the original beam into two (or more) effective beams, each of which corresponds to one specific load and bears its own Young’s modulus. The mode shape of the original beam can be obtained by linearly superposing those of the effective beams. We apply the split beam method to simulating mechanical responses of an atomic force microscope probe in the “dynamical” operation mode, under which there are a stabilizing force at the positioner and a point-contact force at the tip. Compared with traditional analytical or numerical methods, the split beam method uses only a few number of basis functions from each effective beam, so a very fast convergence rate is observed in solving both the resonance frequencies and the mode shapes at the same time. Moreover, by examining the superposition coefficients, the split beam method provides a physical insight into the relative contribution of an individual load on the beam.

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Contact Resonance Atomic Force Microscopy Using Long, Massive Tips

Cited by 5 publications

References 38 publications

Dynamic micromechanical measurement of the flexural modulus of micrometre-sized diameter single natural fibres using a vibrating microcantilever technique

Dynamic micromechanical measurement of the flexural modulus of micrometre-sized diameter single natural fibres using a vibrating microcantilever technique

Contact resonance atomic force microscopy using long elastic tips

Split beam method for determining mode shapes of cantilever beams under multiple loading conditions

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