A semi-analytical method is used to illustrate the behavior of a multimodal nonlinear electromechanical system which is under base-excitation. System is considered as piezo-ceramic patches attached to a cantilever beam coupled to a resistive load. The cantilever beam is modeled as a nonlinear Timoshenko beam using Assumed Mode method and equations of motion are derived through Lagrange's equati...

"Large and small deflections of a cantilever beam".Large and small deflections of a cantilever beam". ABSTRACT The classical problem of deflection of a cantilever beam of linear elastic material, under the action of an external vertical concentrated load at the free end, is analyzed. We present the differential equation governing the behaviour of this physical system and show that this equation...

Piezoelectric cantilevers have been in great demand in sensor and actuator applications. The tip displacement of the cantilever is the most important and sensitive parameter in the actuation mode. Hence, in this study a bimorph cantilever beam has been chosen as the element of study consisting of two active piezoelectric layers of PVDF bonded together. An attempt has been made to establish the ...

The performance of a chaotic micro resonator is improved by redesigning a quadratic controller reported in a previous study. The chaotic micro resonator is composed of an electrostatic actuator and a voltage regulator (controller). The actuator is made of cantilever beam electrode above a fixed electrode. The actuator voltage, and consequently the electrostatic force magnitude, is controlled to...

The aim of this paper is firstly to address the consequences of the nonlinear interactions between higher order modes and the first order mode of a flexible cantilever beam. The tested cantilever beam exhibited numerous nonlinear phenomena that are commonly observed in many flexible structures. The experimental results have shown that active control of the nonlinear vibration in a flexible stru...

nowadays, atomic force microscope is considered as a useful tool in the determination of intermolecular forces and surface topography with the resolution of nanometers. in this kind of microscope, micro cantilever is considered as the heart of the microscope and is used as a measuring tool.  this paper is aimed towards investigating the behavior of a piezoelectric micro cantilever with a triang...

Quantitative force spectroscopy experiments require a comprehensive knowledge of the frequency response characteristics of the micro-cantilever. To establish a generic theoretical model an analytical mathematical description of the cantilever dynamics in force spectroscopy was developed using a transfer function approach. This study allows for quantitative evaluation of force spectroscopy exper...

INTRODUCTION This paper describes the design and some initial evaluation of a prototype instrument for measuring roundness profiles of axially symmetric micro components with diameters below 500 μm. The instrument will measure form error in micro-scale cutting tools used for micro machining, small-hole metrology probes, and other high aspect ratio micro structures. The instrument will operate o...

Vibrating micro- and nanomechanical mass sensors are capable of quantitatively determining attached mass from only the first three (two) measured cantilever (suspended) resonant frequencies. However, in aqueous solutions that are relevant to most biological systems, the mass determination is challenging because the quality factor (Q-factor) due to fluid damping decreases and, as a result, usual...

Micro-cantilever arrays with different dimensions are fabricated by micromachining technique onto silicon <1 0 0> substrate. These sputtered Gold-Coated micro-cantilevers were later surface functionalized. Scanning Electron Microscopy, Atomic Force Microscopy and Optical SWLI using LASER probe are employed to characterize the morphology and image measurement of the micro-cantilever arrays, resp...