Atomic force microscope (AFM) has been developed at first for topography imaging; in addition, it is used for characterization of mechanical properties. Most researches have been primarily focused on rectangular single-beam probes to make vibration models simple. Recently, the U-shaped AFM probe is employed to determine sample elastic properties and has been developed to heat samples locally. I...

This paper presents new exact 3-D (three-dimensional) elasticity closed-form solutions for out-of-plane free vibration of thick rectangular single layered FG (functionally graded) plates and thick rectangular homogeneous plate coated by a functionally graded layer with simply supported boundary conditions. It is assumed that the plate is on a Winkler-Pasternak elastic foundation and elasticity ...

In this study, a dynamic stiffness method for free vibration analysis of moderately thick function-ally graded material plates is developed. The elasticity modulus and mass density of the plate are assumed to vary according to a power-law distribution in terms of the volume fractions of the constituents whereas Poisson’s ratio is constant. Due to the variation of the elastic properties through ...

Abstract Various methods have been proposed to measure vibration frequency. However, mechanical systems are not efficient as they be attached the object of interest. So, measurements precise when a new mass is introduced surface. Besides, obtaining power and phase distribution on whole surface vibrating possible through using accelerometers or other vibrometers. Out-of-plane detection was previ...

The free and forced in-plane vibrations of axially moving plates are investigated in this work. The plate possesses an internal damping of which the constitutive relation obeys the Kelvin-Voigt model, and the excitations are arbitrarily distributed on two opposite edges. First, the equations of motion and the boundary conditions of the axially moving plate are derived. Then, the extended Ritz m...

This paper presents the modelling and analysis of a piezoelectric annular stator structure for a new in-situ dynamic balance regulator which is driven by the in-plane bending vibration of the stator. The mathematical model for the in-plane vibration is first developed using an analytical method to determine the theoretical excitation frequency. The excitation modes and structural parameters are...