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...

This paper features the modeling and design of a Fast Output Sampling (FOS) Feedback control technique for the Active Vibration Control (AVC) of a smart flexible aluminium cantilever beam for a Single Input Single Output (SISO) case. Controllers are designed for the beam by bonding patches of piezoelectric layer as sensor / actuator to the master structure at different locations along the lengt...

Modeling and control of a viscoelastic beam are considered. Piezoelectrical elements are bonded to the beam and used as actuators. The beam is also equipped with a strain gauge that serves as a sensing device. The beam system is described by the Euler-Bernoulli beam equation, which is Fourier transformed and numerically solved in the frequency domain. Then, two different approaches are evaluate...

In this papcr we analyze and compare the lattice Boltzmann equation with the beam scheme in details. We notice the similarity and differences between the lattice Boltzmann equation and the beam scheme. We show that the accuracy of the lattice Boltzmann equation is indeed second order in space. We discuss the advantages and limitations of lattice Boltzmann equation and the beam scheme. Based on ...

in this paper, a crack localization method for euler-bernoulli beams via an efficient static data based indicator is proposed. the crack in beams is simulated here using a triangular variation in the stiffness. static responses of a beam are obtained by the finite element modeling. in order to reduce the computational cost of damage detection method, the beam deflection is fitted through a poly...

The current article focus on the ordinary Bernoulli, Euler and Genocchi numbers and polynomials. It introduces a new approach to obtain identities involving these special polynomials and numbers via generating functions. As an application of the new approach, an easy proof for the main result in [6] is given. Relationships between the Genocchi and the Bernoulli polynomials and numbers are obtai...