In this article we consider one-dimensional linear thermoelastic system of Timoshenko type with linear frictional damping and a distributed delay acting on the displacement equation. The heat flux of the system is governed by Cattaneo’s law. Under suitable assumption on the weight of the delay and that of frictional damping, we establish the well-posedness result and prove that the system is ex...

In this paper, the dynamic response of a simply supported beam subjected to moving load is reinvestigated. Based on new theory, slope inertia-based Timoshenko (SIBT), governing equations motion are derived. An analytical solution presented by using coupled Fourier and Laplace–Carson integral transformation method. The finite element also developed compared with solution. Then, comparative study...

We consider a nonlinear model for a thermoelastic beam that can enter in contact with obstacles. We first prove the well-posedness of this problem. Next, we propose a discretization by Euler and Crank-Nicolson schemes in time and finite elements in space and perform the a priori analysis of the discrete problem. Some numerical experiments confirm the interest of this approach. Résumé: Nous cons...

In this paper, Eringen’s nonlocal elasticity and Timoshenko beam theories are implemented to analyze the bending vibration for non-uniform nano-beams.  The governing equations and the boundary conditions are derived using Hamilton’s principle. A Generalized Differential Quadrature Method (GDQM) is utilized for solving the governing equations of non-uniform Timoshenko nano-beam for pinned-pinned...