Resonating microplates appear as ideal candidates for microcantilever-based real-time biosensing, because their low planar aspect ratio allows for effectively large Q factors, even in highly viscous fluids like water and other biological liquids. Since, a complete analytical treatment of a plate vibrating in liquid is missing; a fully numerical approach is needed for an effective design of a microcantilever-based Lab-On-Chip, as well as for its correct operation. We here report on a three-dimensional finite element model for an accurate and general solution methodology of the Fluid–Structure interaction for a plate vibrating in a transverse flexural mode within a viscous fluid environment. The model directly allows extracting vibration mode shapes, frequencies and Q factors through an eigenfrequency analysis, thus avoiding time-consuming and time-dependent simulations. A benchmark with the available analytical results (that rely on the classical beam theory) and a comparison with experimental data on a fabricated microcantilever-based Lab-On-Chip confirm the accuracy and the reliability of our numerical calculations. The here proposed model works in a very general context, without limitations about the cantilever planar geometry and material, as well as about the shape of the fluid domain.

A finite element model for the frequency spectrum estimation of a resonating microplate in a microfluidic chamber / Ricci, Alessandro; Canavese, Giancarlo; Ferrante, Ivan; Marasso, SIMONE LUIGI; Ricciardi, Carlo. - In: MICROFLUIDICS AND NANOFLUIDICS. - ISSN 1613-4982. - ELETTRONICO. - 15:2(2013), pp. 275-284. [10.1007/s10404-013-1146-4]

A finite element model for the frequency spectrum estimation of a resonating microplate in a microfluidic chamber

RICCI, ALESSANDRO;CANAVESE, GIANCARLO;FERRANTE, IVAN;MARASSO, SIMONE LUIGI;RICCIARDI, Carlo
2013

Abstract

Resonating microplates appear as ideal candidates for microcantilever-based real-time biosensing, because their low planar aspect ratio allows for effectively large Q factors, even in highly viscous fluids like water and other biological liquids. Since, a complete analytical treatment of a plate vibrating in liquid is missing; a fully numerical approach is needed for an effective design of a microcantilever-based Lab-On-Chip, as well as for its correct operation. We here report on a three-dimensional finite element model for an accurate and general solution methodology of the Fluid–Structure interaction for a plate vibrating in a transverse flexural mode within a viscous fluid environment. The model directly allows extracting vibration mode shapes, frequencies and Q factors through an eigenfrequency analysis, thus avoiding time-consuming and time-dependent simulations. A benchmark with the available analytical results (that rely on the classical beam theory) and a comparison with experimental data on a fabricated microcantilever-based Lab-On-Chip confirm the accuracy and the reliability of our numerical calculations. The here proposed model works in a very general context, without limitations about the cantilever planar geometry and material, as well as about the shape of the fluid domain.
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/11583/2506114
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