the static pull-in instability of beam-type micro-electromechanical systems is theoretically investigated. two engineering cases including cantilever and double cantilever micro-beam are considered. considering the mid-plane stretching as the source of the nonlinearity in the beam behavior, a nonlinear size-dependent euler-bernoulli beam model is used based on a modified couple stress theory, c...

We present applications of variational – wavelet approach to three different models of nonlinear beam motions with underlying collective behaviour: Vlasov-MaxwellPoisson systems, envelope dynamics, beam-beam model. We have the representation for dynamical variables as a multiresolution (multiscales) expansion via high-localized nonlinear eigenmodes in the base of compactly supported wavelet bas...

In this study, the nonlinear optical properties and optical limiting performance of the silver nanoparticles (AgNPs) in distilled water are investigated. The nonlinear absorption coefficient of the colloid is measured by the Z-scan technique. The optical limiting behavior of the AgNP suspension is investigated under exposure to nanosecond laser pulses at 532 nm. The results show that nonlinear ...

The nonlinear system becomes an area with numerous investigations over the past decades. The conventional modal analysis could not be  applied on nonlinear continuous system which makes it impossible to construct the reduced order models and obtain system response based on limited number of measurement points. Nonlinear normal modes provide a useful tool for extending modal analysis to nonlinea...

We investigate the propagation characteristics of superGaussian beam in highly nonlocal nonlinear media. The optical beam propagation has been modeled by well known nonlocal nonlinear Schrödinger equation. The variational method is employed to find the initial beam propagation parameters and then split step Fourier method is used for numerical simulations. A generalized exact analytical solutio...

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

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 ...

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...