A Timoshenko beam equation with boundary feedback control is considered. By an abstract result on the Riesz basis generation for the discrete operators in the Hilbert spaces, we show that the closed-loop system is a Riesz system, that is, the sequence of generalized eigenvectors of the closed-loop system forms a Riesz basis in the state Hilbert space. 1. Introduction. The boundary feedback stab...

There are different finite element models in place for predicting the bending behavior of shear deformable beams and plates. Mostly, the literature abounds with traditional equi-spaced Langrange based low order finite element approximations using displacement formulations. However, the finite element models of Timoshenko beams and Mindlin plates with linear interpolation of all generalized disp...

In this paper, the effects of three types porosity on bending behavior functionally graded porous (FGP) beams are studied. The finite element procedure is established and based simple Timoshenko beam theory. results achieved in paper presented compared with other references to verify feasibility implementing formula writing Matlab code. On hand, can help researchers have an overview beams.

The vibration problems of uniform and nonuniform Euler-Bernoulli beams have been solved analytically or approximately [1-5] for various end conditions. In order to calculate fundamental natural frequencies and related mode shapes, well known variational techniques such as Rayleigh_Ritz and Galerkin methods have been applied in the past. Besides these techniques, some discretized numerical metho...

This paper deals with the design of a periodic output feedback controller for a flexible beam structure modeled with Timoshenko beam theory, Finite Element Method, State space methods and embedded piezoelectrics concept. The first 3 modes are considered in modeling the beam. The main objective of this work is to control the vibrations of the beam when subjected to an external force. Shear piezo...

In the present work, a finite element model is proposed to describe the response of isotropic and orthotropic beams with piezoelectric actuators due to applied mechanical loads as well as electrical load. The assumed field displacements of the beams are represented by First-order Shear Deformation Theory (FSDT), the Timoshenko beam theory. The equation of motion of the smart beam system is deri...