Recently, a large amount of studies have been related to nonlinear systems with multi-degrees of freedom as well as continuous systems. The purpose of this paper is to optimize passive vibration absorbers in linear and nonlinear states for an Euler-Bernoulli beam with a nonlinear vibratory behavior under concentrated moving load. The goal parameter in the optimization is maximum deflection of t...

Teaching linear algebra routines for computing eigenvalues of a matrix can be well motivated to students using interesting examples. We propose in this paper to use vibrating plates for two reasons: first there are interesting applications, from which we chose the Chladni figures representing sand ornaments which form on a vibrating plate, and the Tacoma bridge, one of the most spectacular brid...

— We consider a network of vibrating elastic strings and Euler-Bernoulli beams. Using a generalized Poisson formula and some Tauberian theorem, we give a Weyl formula with optimal remainder estimate. As a consequence we prove some observability and stabilization results. Résumé (Formule de Weyl avec reste optimal de quelques réseaux élastiques et applications) Nous considérons un réseau de cord...

One of the principal objectives of vibration isolation technology is to isolate sensitive equipment from a vibrating structure or to isolate the structure from an uncertain exogenous disturbance source. In this paper, a dynamic observer-based active isolator is proposed that guarantees closed-loop asymptotic stability and disturbance decoupling between the vibrating structure and isolated struc...

Background: This work investigated the dosimetry limitations of the random and systematic uncertainties of sliding window (SW) intensity modulated radiation therapy (IMRT). Materials and Methods: A Varian 21EX linear accelerator, Pinnacle3 treatment planning system and radiographic film dosimetry was used. The limitations of the SW were studied using beam modulation ranging from 2 to 10...

Background: The purpose of this paper is to establish an easy and reliable biodosimeter protocol to evaluate the biological effects of proton beams. Materials and Methods: Human peripheral blood lymphocytes were irradiated using proton beams (LET: 34.6 keV μm−1), and the chromosome aberrations induced were analyzed using cytokinesis-blocked (CB) micronucleus (MN) assay. To determine th...