Natural modes of Bernoulli-Euler beams with symmetric cracks

Thermal Buckling Analysis of Functionally Graded Euler-Bernoulli Beams with Temperature-dependent Properties

Thermal buckling behavior of functionally graded Euler-Bernoulli beams in thermal conditions is investigated analytically. The beam with material and thermal properties dependent on the temperature and position is considered. Based on the transformed-section method, the functionally graded beam is considered as an equivalent homogeneous Euler-Bernoulli beam with an effective bending rigidity un...

Non-symmetric and chaotic vibrations of Euler- Bernoulli beams under harmonic and noisy excitations

Exact Controllability of Serially Connected Euler-Bernoulli Beams

We consider the exact controllability problem by boundary action of hyperbolic systems of a chain of Euler-Bernoulli beams. By the classical Hilbert Uniqueness Method, the control problem is reduced to the obtention of an observability inequality. So that we need to study the asymptotic behaviour of the eigenvalues. More precisely we show that the distance between two consecutive large eigenval...

Stability of a Complex Network of Euler-Bernoulli Beams

A complex network of Euler-Bernoulli beams is studied in this paper. As for this network, the boundary vertices are clamped, the displacements of the structure are continuous but the rotations of different beams are not continuous at the interior vertices. The feedback controller are designed at the interior nodes to stabilize the elastic system. The well-posed-ness of the closed loop system is...

Vibration Analysis of Multi-Step Bernoulli-Euler and Timoshenko Beams Carrying Concentrated Masses

In this paper, vibration analysis of multiple-stepped Bernoulli-Euler and Timoshenko beams carrying point masses is presented analytically for various boundary conditions. Each attached element is considered to have both translational and rotational inertias. The method of solution is “transfer matrix method” which is based on the changes in the vibration modes at the vicinity of any discontinu...