Coupled longitudinal and transverse vibrations of tensioned Euler-Bernoulli beams with general linear boundary conditions

A Semianalytical Method for Nonlinear Vibration of Euler-Bernoulli Beams with General Boundary Conditions

This paper presents a new semianalytical approach for geometrically nonlinear vibration analysis of Euler-Bernoulli beams with different boundary conditions. The method makes use of Linstedt-Poincaré perturbation technique to transform the nonlinear governing equations into a linear differential equation system, whose solutions are then sought through the use of differential quadrature approxim...

Solution of Inverse Euler-Bernoulli Problem with Integral Overdetermination and Periodic Boundary Conditions

In this work, we tried to find the inverse coefficient in the Euler problem with over determination conditions. It showed the existence, stability of the solution by iteration method and linearization method was used for this problem in numerical part. Also two examples are presented with figures.

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

An Optimal Control of Transverse Vibrations of an Euler-Bernoulli Beam-String Complex System

In this paper, an optimal control of transverse vibrations of an Euler-Bernoulli beam and string complex system is studied. The dynamic response of the system is measured by a performance index that consists of a modified energy functional of two coupled structures at the terminal time and the expenditure of the control forces as a penalty term. The minimization of the performance index over th...

Three-dimensional Vibration Suppression of an Euler-bernolli Beam via Boundary Control Method

In this paper, the general governing equations of three-dimensional vibrations of an Euler-Bernoulli Beam under influences of system dynamics are derived by the Hamiltonian method. Then two fundamental cases of a cantilever beam and a rotating beam are considered. The conventional methods for vibration suppression debit to expenses and make new problems such as control spillover because they ar...