On the Free Vibration Analysis of Thin-Walled Box Beams having Variable Cross-Sections

Semi-analytical Approach for Free Vibration Analysis of Variable Cross-Section Beams Resting on Elastic Foundation and under Axial Force

in this paper, free vibration of an Euler-Bernoulli beam with variable cross-section resting on elastic foundation and under axial tensile force is considered. Beam’s constant height and exponentially varying width yields variable cross-section. The problem is handled for three different boundary conditions: clamped-clamped, simply supported-simply supported and clamp-free beams. First, the equ...

Free Vibration Analysis of BNNT with Different Cross-Sections via Nonlocal FEM

In the present study, free vibration behaviors of of carbon nanotube (CNT) and boron nitride nanotube (BNNT) have been investigated via Eringen’s nonlocal continuum theory. Size effect has been considered via nonlocal continuum theory. Nanotubes have become popular in the world of science thanks to their characteristic properties. In this study, free vibrations of Boron Nitride Nanotube (BNNT) ...

Free vibration analysis of variable stiffness composite laminated thin skew plates using IGA

A NURBS-based isogeometric finite element formulation is developed and adopted to the free vibration analysis of finite square and skew laminated plates. Variable stiffness plies are assumed due to implementation of curvilinear fiberreinforcements. It is assumed due to employment of tow placement technology, in each ply of variable stiffness composite laminated plate the fiber reinforceme...

Notes on the Linear Analysis of Thin-walled Beams

Thin-walled beams: the case of the rectangular cross-section

In this paper we present an asymptotic analysis of the three-dimensional problem for a thin linearly elastic cantilever Ωε = ωε × (0, l) with rectangular cross-section ωε of sides ε and ε 2, as ε goes to zero. Under suitable assumptions on the given loads, we show that the threedimensional problem converges in a variational sense to the classical one-dimensional model for extension, flexure and...