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...

In this paper we analyze a locking-free numerical scheme for the LQR control of a Timoshenko beam. We consider a non-conforming finite element discretization of the system dynamics and a control law constant in the spatial dimension. To solve the LQR problem we seek a feedback control which depends on the solution of an algebraic Riccati equation. An optimal error estimate for the feedback oper...

In this paper, we consider a plate–beam system inwhich the Reissner–Mindlin platemodel is combined with the Timoshenko beam model. Natural frequencies and vibration modes for the system are calculated using the finite element method. The interface conditions at the contact between the plate and beams are discussed in some detail. The impact of regularity on the enforcement of certain interface ...

This paper presents a method for the dynamic modeling of parallel robots with flexible links and rigid moving platform based on finite element theory. The relation between elastic displacements of links is investigated, taking into consideration the coupling effects of elastic motion and rigid motion. The kinematic and dynamic constraint conditions of elastic displacements of flexible parallel ...

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.

In the present paper, the problem of low-velocity impact of an elastic sphere against a viscoelastic Timoshenko-type beam is studied considering the extension of its middle surface. The viscoelastic features of the beam out of the contact domain are governed by the standard linear solid model with derivatives of integer order, while within the contact domain the fractional derivative standard l...

The stochastic behaviour of materials and loading is great importance for buckling analysis prestressed beam frame structures. In this paper, the stiffness stress matrices are developed analysis. bending rigidity load modelled as fields. spectral decomposition known Karhunen–Loéve expansion has been used to expand random Using expansion, closed-form formulated in terms discrete parameters. cons...