In this article free vibration of a Timoshenko nanobeam with variable cross-section is investigated using nonlocal elasticity theory within the scope of continuum mechanics. Small scale effects are modelled after Eringen’s nonlocal elasticity theory while the non-uniformity is presented by exponentially varying width through the beam length with constant thickness. Analytical solution is achiev...

In this study, a semi analytical method for transverse and axial vibration of single-walled boron nitride nanotube (SWBNNT) under moving a nanoparticle is presented. The surrounding elastic medium as Pasternak foundation and surface stress effect are included in the formulations of the proposed model. Using Timoshenko beam theory (TBT), Hamilton’s principle and nonlocal piezoelasticity theory, ...

In this article free vibration of a Timoshenko nanobeam with variable cross-section is investigated using nonlocal elasticity theory within the scope of continuum mechanics. Small scale effects are modelled after Eringen’s nonlocal elasticity theory while the non-uniformity is presented by exponentially varying width through the beam length with constant thickness. Analytical solution is achiev...

The control of a flexible beam using ionic polymer metal composites (IPMCs) is investigated in this paper. mechanical dynamics are modelled as Timoshenko beam. electric the IPMCs considered model. port-Hamiltonian framework used to propose an interconnected model and IPMC actuator. Furthermore, passive Hamiltonian structure-preserving linear quadratic Gaussian (LQG) controller achieve desired c...

Considered is the control and stabilizability of a slowly rotating non-homogeneous Timoshenko beam with the aid of a torque. It turns out that the beam is (approximately) controllable with the aid of the torque if and only if it is (approximately) controllable. However, the controllability problem appears to be a side-effect while studying the stabilizability. To build a stabilizing control one...

The purpose of this paper is to show how the Timoshenko beam can be fruitfully approached within the framework of distributed port Hamiltonian systems (dpH systems) so that rather simple and elegant considerations can be drawn regarding both the modeling and control of this mechanical system. After the distributed port Hamiltonian (dpH) model of the beam is introduced, the control problem is di...