This study deals with the vibration and stability analysis of double-graphene nanoribbon-system (DGNRS) based on different nonlocal elasticity theories such as Eringen's nonlocal, strain gradient, and modified couple stress within the framework of Rayleigh beam theory. In this system, two graphene nanoribbons (GNRs) are bonded by Pasternak medium which characterized by Winkler modulus and shear...

In this paper, a simple and efficient element is proposed for the free vibration buckling analysis of FGM beams. This formulating, based on Timoshenko beam theory. The assumption constant shear strain in reduces number unknowns addition to improving efficiency new element. performance evaluated with help several benchmark tests. First, accuracy convergence rate response are investigated separat...

in this paper, the mechanical behavior of three-phase inhomogeneous materials is modeled using the meso-scale model with lattice beams for static and dynamic analyses. the timoshenko beam theory is applied instead of the classical euler-bernoulli beam theory and the mechanical properties of lattice beam connection are derived based on the continuum medium using the non-local continuum theory. t...

We present a computational approach for the construction of reducedorder controllers for the Timoshenko beam model. By means of a space discretization of the Timoshenko equations, we obtain a large-scale, finite-dimensional dynamical system, for which we compute an LQG controller for closed-loop stabilization. The solutions of the algebraic Riccati equations characterizing the LQG controller ar...

Today, engineering structures have wide application in military equipment, industrial equipment, machines, robots, etc. How to make the engineering structures away from many damages, repairs, and other costs and how to control them in a way that their life reduction would be prevented are challenging problems for researches in recent decades. They are trying to find an appropriate control appro...

The present paper investigates the transverse vibration of a non-uniform axially functionally graded Timoshenko beam with cross-sectional and material properties varying in length direction. Chebyshev collocation method is used to spatially discretize governing partial differential equations motion into time-dependent ordinary terms differentiation matrices. An algebraic eigenvalue equation mat...