Smart reinforced nano/microscale plates for mass detection at ultrasmall levels: A nonlocal continuum-based approach

In the present study, a scale-dependent plate model is developed to examine the vibrational response of ultrasmall mechanical mass detectors applying nano/microscale plates with shape memory alloy (SMA) nanofibers. The nonlocal elasticity is utilized to capture the influence of being at ultrasmall levels on the performance of the ultrasmall mass detector. The present scale-dependent plate model has no limitation regarding the number of nanoparticles. The ultrasmall plate is resting on an elastic medium, which is described via the Pasternak model. The coupled differential motion equations are derived employing Brinson's model together with the nonlocal elasticity. Galerkin's scheme, as a solution technique, is then employed to determine the frequency shift of the ultrasmall mass detector. After indicating the validation of the present results, the influences of various system parameters including the recovery stress, scale coefficient, volume fraction and the location of nanoparticles on the frequency shifts are studied. It is found that SMA nanofibers can be utilized to enhance the performance of ultrasmall mass detectors using vibrating nanoplates.