This paper discusses a 1D one-dimensional mathematical model for the thermoelasticity problem in two-layer plate. Basic equations dimensionless form contain both temperature and displacement. General solutions of homogeneous (displacement equations) are assumed to be linear combination Trefftz functions. Particular these then expressed with appropriately constructed sums derivatives general sol...

Semi-active fluid viscous dampers as a subset of control systems have shown their ability to reduce seismic responses of tall buildings. In this paper, multi-objective optimization of the performance of this group of dampers in reducing the seismic responses of buildings is studied using multi-objective genetic algorithms. For numerical example, two 7 and 18 stories buildings are chosen and mod...

in the present research, the effects of delamination size and location on vibration characteristics of laminated composite beams are investigated both analytically and numerically. in the analytical method, the delaminated beam is modeled as four interconnected euler–bernoulli beams and the constrained and free mode models are both simulated. the differential stretching and the bending-extensio...

This paper presents a nonlinear formulation to model flexible-link robots based on finite element approach. To derive nonlinear dynamic equations of the flexible-link robot, links are modeled by some finite elements, and Lagrange’s principle is used for dynamic modeling. A local coordinate system is attached to each link and the local displacement of an arbitrary point is formulated based on no...

The object of our study is the one-dimensional discrete Φ 4 model. We compare two equilibrium properties by use of molecular dynamics simulations: the Lyapunov spectrum and the time dependence of displacement-displacement and energy-energy correlation functions. Both properties imply the existence of a dynamical crossover of the system at the same temperature. This correlation holds for two rat...

The adaptive identiication of the impulse response of an innovation lter is considered. The impulse response is a nite sum of known basis functions with unknown coeecients. These unknown coeecients are estimated using a pseudolinear regression. This estimate is implemented using a square root algorithm based on a displacement rank structure. When the initial conditions have low displacement ran...

A theoretical analysis of the fluctuation properties of optical phonons generated by the optical excitation of a quantum dot is presented. In particular we study whether squeezed states may be generated where either the fluctuations of the displacement or of the momentum fall below the vacuum level. The calculations are based on a generating functions formalism which provides analytical results...

We consider a particle immersed in a thermal reservoir and simultaneously subjected to an external random force that drives the system to a nonequilibrium situation. Starting from a Langevin equation description, we derive exact expressions for the mean-square displacement and the velocity autocorrelation function of the diffusing particle. An effective temperature is introduced to characterize...

In [17] it was suggested that the number of limit cycles in a piecewise-linear system could be closely related to the number of zones, that is the number of parts of the phase plane where the system is linear. In this note we construct an example of a class of perturbed piecewise systems with n zones such that the first variation of the displacement function is identically zero. Then we conject...

The adaptive identification of the impulse response of an innovation filter is considered. The impulse response is a finite sum of known basis functions with unknown coefficients. These unknown coefficients are estimated using a pseudolinear regression. This estimate is implemented using a square root algorithm based on a displacement rank structure. When the initial conditions have low displac...