title: Deconvolution of damping forces with a nonlinear microresonator.
abstract: We report a fully electrical microcantilever device that utilizes capacitance for both actuation and detection and show that it can characterize various gases with a bare silicon microcantilever. We find the motion of the cantilever as it rings down when the oscillating force is removed, by measuring the voltage induced by the oscillating capacitance in the microcantilever∕counterelectrode system. The ringdown waveform was analyzed using an iterative numerical algorithm to calculate the oscillator motion, modeling the cantilever∕electrode capacitance to calculate the electrostatic force. We find that nonlinearity in the motion of the cantilever is not necessarily a disadvantage. After calibration, we simultaneously measure viscosity and density of several gaseous mixtures, yielding viscosities within ±2% and densities within ±6% of NIST values.
authors.affiliation: Department of Physics and Astronomy, Clemson University, 118 Kinard Laboratory, Clemson, South Carolina 29634, USA.
authors.forename: Bevan
authors.initials: B
authors.lastname: Elliott
authors.forename: Herbert W
authors.initials: HW
authors.lastname: Behlow
authors.forename: Doyl
authors.initials: D
authors.lastname: Dickel
authors.forename: Malcolm J
authors.initials: MJ
authors.lastname: Skove
authors.forename: Apparao M
authors.initials: AM
authors.lastname: Rao
authors.forename: Gayatri
authors.initials: G
authors.lastname: Keskar