Grinding chatter is a kind of self-excited vibration in which the grinding system continuously absorbs energy from machine, increasing mechanical system. can damage surface workpiece and accelerate abrasion wheel. The theoretical analysis for beam was launched based on behavior single abrasive grain, whose cutting thickness key factor affecting stability. dynamic force model has been developed,...

We present modeling and analysis for the static behavior and collapse instabilities of doublyclamped and cantilever microbeams subjected to capillary forces. These forces can be as a result of a volume of liquid trapped underneath the microbeam during the rinsing and drying process in fabrication. The model considers the microbeam as a continuous medium, the capillary force as a nonlinear funct...

During the past few decades, a significant amount of research has been conducted in the area of non-destructive damage evaluation (NDE) based on changes in dynamic properties of a structure. System Identification and damage detection plays a crucial role in structural dynamics and vibro-acoustic system optimization. The later approach is based on the ‘Modal Analysis” The dynamic behaviors of th...

This paper presents a nonlinear model of a clamped-clamped microbeam actuated by an electrostatic load with stretching and thermoelastic effects. The frequency of free vibration is calculated by discretization based on the Differential Quadrature (DQ) Method. The frequency is a complex value due to the thermoelastic effect that dissipates energy. By separating the real and imaginary parts of fr...

Abstract Free vibration of a single-walled carbon nanotube (SWCNT) embedded in an elastic medium is studied on the basis nonlocal Timoshenko beam model. Influences slenderness ratios, boundary conditions, atomic structures and stiffness natural frequencies mode shapes SWCNT are examined. The effect significant for higher modes with small ratio soft medium, it softens except fundamental frequenc...

In this paper, the dynamic characteristics of clamped-clamped silicon microbeam subjected to electrostatic excitation and mechanical shock is investigated. The Euler-Bernoulli beam model based on the modified couple stress theory with von Kármán geometric non-linearity is utilized in theoretical formulation. Afterwards, squeeze-film damping effects of microstructures for small amplitude vibrati...

A review of contributions and views on the second spectrum of Timoshenko beam theory (TBT) over the past two decades, together with some new results, are presented. It is shown that the Timoshenko frequency equation factorises not solely for hinged–hinged end conditions, as is often claimed, but also for guided–guided and guided–hinged; these new cases may be regarded as portions of a multi-spa...