An analytical expression relating mass and position of a particle attached on a cantilever to the resulting change in cantilever resonant frequency is derived. Theoretically, the position and mass of the attached particle can be deduced by combining measured resonant frequencies of several bending modes. This finding is verified experimentally using a microscale cantilever with and without an a...

We utilize the recently developed surface Cauchy–Born model, which extends the standard Cauchy–Born theory to account for surface stresses due to undercoordinated surface atoms, to study the coupled influence of boundary conditions and surface stresses on the resonant properties of h100i gold nanowires with f100g surfaces. There are two major purposes to the present work. First, we quantify, fo...

the resonant frequency and sensitivity of an atomic force microscope (afm) cantilever with assembled cantilever probe (acp) have been analyzed and a closed-form expression for the sensitivity of vibration modes has been obtained. the proposed acp comprises an inclined cantilever and extension, and a tip located at the free end of the extension, which makes the afm capable of topography at sidew...

The purpose of the present work is to quantify the coupled effects of surface stresses and boundary conditions on the resonant properties of silicon nanowires. We accomplish this by using the surface Cauchy–Born model, which is a nonlinear, finite deformation continuum mechanics model that enables the determination of the nanowire resonant frequencies including surface stress effects through so...

This study presents an innovative concept acoustic metrology for on-line dimensional conformance inspection. It investigates the linear and radial dimensions as well as the true position of a center. It conclusively finds that as these dimensions change, the resonant frequencies of tested cylindrical and flat plate parts also shift. The high resonant frequencies appear to shift more than low re...

There are two major objectives to the present work. The first objective is to demonstrate that, in contrast to predictions from linear surface elastic theory, when nonlinear, finite deformation kinematics are considered, the residual surface stress does impact the resonant frequencies of silicon nanowires. The second objective of this work is to delineate, as a function of nanowire size, the re...

The analysis of resonant frequency for anisotropic artificial circular dielectric resonator (CDR) encapsulated in waveguide is investigated theoretically. The anisotropic permittivity of CDR is established by taking a relative permittivity value in one direction higher than the values of other directions in cylindrical coordinate system. By deriving Maxwell time-dependent curl equations for the...

This paper proposed to take advantages of resonant ultrasound spectroscopy (RUS) to measure the mechanical properties of human dentin specimen. The resonant spectroscopy of the dentin specimen was obtained between the frequency bands 155 and 575 kHz, and resonant frequencies were extracted by linear predictive filter and then by Levenberg-Marquardt method. By inverse problem approach, 13 experi...