The dynamic response of a microcantilever beam used as a transducer in a biomechanical sensor for molecule detection is analyzed. The cantilever motion is modeled using the classical Euler-Bernoulli beam theory coupled to the Reynolds equation of lubrication accounting for the hydrodynamic interactions. The beam is oscillated by an electrostatic harmonic force in close proximity to a rigid wall in an analysis chamber. It is shown that the dynamic response of the beam can be accurately predicted by a simple equivalent damped harmonic oscillator whose quality factor has been estimated as a function of the beam-wall gap. As the gap is reduced the quality factor is reduced and damping becomes more and more important. A transduction relationship between the frequency shift and the mass of molecules adherent on the beam is proposed which accounts for the beam-fluid-substrate interactions.

Dynamic response of microcantilever-based sensors in a fluidic chamber / Decuzzi, P.; Granaldi, A.; Pascazio, Giuseppe. - In: JOURNAL OF APPLIED PHYSICS. - ISSN 0021-8979. - 101:2(2007). [10.1063/1.2426966]

Dynamic response of microcantilever-based sensors in a fluidic chamber

PASCAZIO, Giuseppe
2007-01-01

Abstract

The dynamic response of a microcantilever beam used as a transducer in a biomechanical sensor for molecule detection is analyzed. The cantilever motion is modeled using the classical Euler-Bernoulli beam theory coupled to the Reynolds equation of lubrication accounting for the hydrodynamic interactions. The beam is oscillated by an electrostatic harmonic force in close proximity to a rigid wall in an analysis chamber. It is shown that the dynamic response of the beam can be accurately predicted by a simple equivalent damped harmonic oscillator whose quality factor has been estimated as a function of the beam-wall gap. As the gap is reduced the quality factor is reduced and damping becomes more and more important. A transduction relationship between the frequency shift and the mass of molecules adherent on the beam is proposed which accounts for the beam-fluid-substrate interactions.
2007
Dynamic response of microcantilever-based sensors in a fluidic chamber / Decuzzi, P.; Granaldi, A.; Pascazio, Giuseppe. - In: JOURNAL OF APPLIED PHYSICS. - ISSN 0021-8979. - 101:2(2007). [10.1063/1.2426966]
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11589/6621
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