Micro-XRF analysis provides us with elemental maps, which are very useful for understanding the samples under test. Usually, scanning-type elemental mapping is performed. That means, a sample stage is scanned to a fixed X-ray micro beam. XRF analysis is performed at the scanned points, leading to 2D elemental mapping. One of the drawbacks of this technique is the long acquisition time depending...

This paper is concerned with the dynamics for nonlinear one-dimensional beam equations. We consider a nonlinear beam equation with viscosity or with a lower order damping term instead of the viscosity, and we establish the existence of global attractors for both systems. Keyword: beam equations; global attractor; in nite-dimensional dynamics MSC 2000: 35G25; 35B41

In Applied Mathematics, linear and nonlinear eigenvalue problems arise frequently when characterizing the equilibria of various physical systems. In this thesis, two specific problems are studied, the first of which has its roots in micro engineering and concerns Micro-Electro Mechanical Systems (MEMS). A MEMS device consists of an elastic beam deflecting in the presence of an electric field. M...

The impetus of this study is to investigate the chaotic behavior of a size-dependent nano-beam with double-sided electrostatic actuation, incorporating surface energy effect and intermolecular interactions. The geometrically nonlinear beam model is based on Euler-Bernoulli beam assumption. The influence of the small-scale and the surface energy effect are modeled by implementing the consistent ...

A new micro-XRF instrument was developed in combination with an atomic force microscope (AFM). A small pinhole of 5 or 10 μm was made on the AFM cantilever. The center of the micro X-ray beam generated by a polycapillary X-ray lens was passed through the pinhole. The present experiment demonstrated that the size of the original X-ray beam of 48 μm produced by the polycapillary lens was reduced ...

In this paper a novel method is proposed for construction of an exponential observer for nonlinear system. The presented method is based on direct solution of dynamic error without any linearzing of nonlinear terms. Necessary and sufficient conditions for construction of direct observer are presented. Stability of the observer is checked using Lyapunov theorem. Also the ability of this observer...

Bent and folded beam configurations have been popularly used in electrothermoelastic (E-T) actuation. This paper introduces new designs of thermal end-effector with micro-grasping and micro-heating capabilities. We obtained analytical models for all possible steady state temperature responses of suspended and overhanging microstructures that constitute bent beam, folded beam, and combined actua...

This research investigates the stabilization and control of an uncertain Euler–Bernoulli nano-beam with fixed ends. The governing partial differential equations motion for are derived using Hamilton’s principle non-local strain gradient theory. Galerkin method is then applied to transform resulting dimensionless equation into a nonlinear ordinary equation. A novel fault-tolerant terminal slidin...

For a moment consider a single beam in a storage ring. Individual particle motions are linear at small amplitudes with tunes, optical functions, and, in the case of electrons, synchrotron radiation properties determined by the dipoles, quadrupoles, and RF system. At larger amplitudes, intentional and unintentional field ndinearities lead to amplitude dependent tunes, nonlinear resonances, and a...