Abstract
In this study, a coupling dynamic model on an acoustic wave sensor system, consisting of a thickness-shear mode quartz crystal resonator (QCR) and an array of surface nanowires (NWs), has been established including the surface effects of NWs. The governing equations of NWs are derived from the Timoshenko beam theory in consideration of shear deformation and rotary inertia. The electrical admittance is described directly in terms of the physical properties of the surface NWs from an electrically forced vibration analysis. The effects of residual surface tension \(\tau _{0}\) and surface elasticity \(E_\mathrm{s}\) of NWs on the admittance spectra and vibration modes of the compound QCR system are examined, and some useful results are obtained, which will be helpful to the design of nanosized beams loaded acoustic wave sensors and some related applications.
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