Control of the chaotic oscillations of axial beam

In this paper the chaos in the axially vibrating beam is considered. The perturbation function of Jacobi elliptic type acts on the beam with nonlinear elastic properties and small damping. The vibrations are described with a second order nonlinear partial differential equation. Solving the equation in the form of Jacobi elliptic function, the parameters k and K are introduced. They are responsible for the shape of mode of vibrations due to the mechanical properties of the beam and the shape of perturbation, respectively. As it is suggested by Chacon and Bejarano (1993) the suppressing of chaos is possible by varying of the mentioned parameters. The aim of the paper is to determine parameters for eliminating chaotic motion in the axial beam