Resonant microcantilever type chemical sensors: analytical modeling in view of optimization

Dufour, Isabelle; Fadel, Ludivine

doi:10.1016/s0925-4005(03)00110-2

Cited by 47 publications

(22 citation statements)

References 11 publications

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“…11,15 Improvements to this analytical model can be produced when considering that all cantilever segments possess both compliance and inertia properties. 16,17 Mass deposition, particularly in a layerlike manner, has also been modeled by means of the finite element method.…”

Section: Introductionmentioning

confidence: 99%

Modeling, design, and characterization of multisegment cantilevers for resonant mass detection

Lobontiu

Lupea

Ilic

et al. 2008

Journal of Applied Physics

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The work presents the analytic modeling, design, and the experimental and numerical characterization of multisegment cantilevers’ bending and torsion resonant responses with the aim of evaluating the amount and position of matter which deposits on these elastic structures. The cantilevers may comprise any number of geometrically different segments that are serially connected, and actual results are presented for the two-segment, circularly notched configuration. The generic analytical model, which formulates the bending and torsion resonant frequencies of both the original cantilever and the one with the attached mass, is derived by means of Rayleigh’s quotient approach. Relationships are formulated between nondimensional parameters characterizing the geometry, resonant frequencies, and deposited mass amount and position for both bending and torsion. The sensitivity of the frequency shift to the landing parameters and mass amount are also studied. Analytical model, finite element, and experimental testing data corresponding to the bending and torsion resonant responses of macro- and nano-two-segment, circularly notched cantilever specimens are in agreement. The analytical model of the circularly notched cantilever is further employed to investigate the relationships between the cantilever geometry parameters, the deposited mass amount, and its landing position to the change in the bending and torsion resonant frequency.

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Section: Introductionmentioning

confidence: 99%

Modeling, design, and characterization of multisegment cantilevers for resonant mass detection

Lobontiu

Lupea

Ilic

et al. 2008

Journal of Applied Physics

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“…Ligands : Target molecules : In order to predict the sensitivity of these versatile sensors, it is crucial to precisely calculate the resonance frequencies of these micro-cantilevers (Dufour et al, 2003 ;Lochan et al, 2005). The resonance frequencies can be only calculated analytically for cantilevers with simple geometries like straight beams.…”

Section: Mechanical Excitationmentioning

confidence: 99%

Finite Element Modelling of Micro-cantilevers Used as Chemical Sensors

Louarn¹,

Cuenot²

2008

Modelling and Simulation

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“…1. 1,3,7,26,32,[40][41][42][43][44][45][46] Another vibration mode that has been previously investigated in the literature is the in-plane (lateral) flexural mode. 22,35,38,[47][48][49][50][51] This reduces the amount of fluid resistance by decreasing the amount of fluid drag on the leading edge of the beam.…”

Section: Introductionmentioning

confidence: 99%

Characteristics of laterally vibrating resonant microcantilevers in viscous liquid media

Cox

Josse

Heinrich

et al. 2012

Journal of Applied Physics

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The characteristics of microcantilevers vibrating laterally in viscous liquid media are investigated and compared to those of similar microcantilevers vibrating in the out-of-plane direction. The hydrodynamic loading on the vibrating beam is first determined using a numerical model. A semi-analytical expression for the hydrodynamic forces in terms of the Reynolds number and the aspect ratio (beam thickness over beam width) is obtained by introducing a correction factor to Stokes' solution for a vibrating plate of infinite area to account for the effects of the thickness. The results enable the effects of fluid damping and effective fluid mass on the resonant frequency and the quality factor (Q) to be investigated as a function of both the beam's geometry and liquid medium's properties and compared to experimentally determined values given in the literature. The resonant frequency and Q are found to be higher for laterally vibrating microcantilevers compared to those of similar geometry experiencing transverse (out-of-plane) vibration. Compared to transversely vibrating beams, the resonant frequency of laterally vibrating beams is shown to decrease at a slower rate (with respect to changes in viscosity) in media having higher viscosities than water. The theoretical results are compared to experimental data obtained for cantilevers completely immersed in solutions of varying aqueous percent glycerol. The increases in resonant frequency and Q are expected to yield much lower limits of detection in liquid-phase chemical sensing applications.

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Resonant microcantilever type chemical sensors: analytical modeling in view of optimization

Cited by 47 publications

References 11 publications

Modeling, design, and characterization of multisegment cantilevers for resonant mass detection

Modeling, design, and characterization of multisegment cantilevers for resonant mass detection

Finite Element Modelling of Micro-cantilevers Used as Chemical Sensors

Characteristics of laterally vibrating resonant microcantilevers in viscous liquid media

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