A Numerical Method of the Euler-Bernoulli Beam with Optimal Local Kelvin-Voigt Damping

Stability of a Nonlinear Axially Moving String with the Kelvin-Voigt Damping

In this paper, a nonlinear axially moving string with the Kelvin-Voigt damping is considered. It is proved that the string is stable, i.e., its transversal displacement converges to zero when the axial speed of the string is less than a certain critical value. The proof is established by showing that a Lyapunov function corresponding to the string decays to zero exponentially. It is also shown ...

A Meshless Local Petrov-Galerkin Method for Euler-Bernoulli Beam Problems

An accurate and yet simple Meshless Local Petrov-Galerkin (MLPG) formulation for analyzing beam problems is presented. In the formulation, simple weight functions are chosen as test functions. The use of these functions shows that the weak form can be integrated with conventional Gaussian integration. The MLPG method was evaluated by applying the formulation to a variety of patch test and thin ...

Stability of an abstract-wave equation with delay and a Kelvin-Voigt damping

Stability Analysis of Non-Local Euler-Bernoulli Beam with Exponentially Varying Cross-Section Resting on Winkler-Pasternak Foundation

In this paper, linear stability analysis of non-prismatic beam resting on uniform Winkler-Pasternak elastic foundation is carried out based on Eringen's non-local elasticity theory. In the context of small displacement, the governing differential equation and the related boundary conditions are obtained via the energy principle. It is also assumed that the width of rectangle cross-section varie...

Vibration of the Euler-Bernoulli Beam with Allowance for Dampings

The Euler-Bernoulli uniform elastically supported beam model with incorporated dissipation mechanisms is dealt with. Conditions are given to ensure oscillatory character of solutions.