Non-linear and chaotic behavior of a magnetically levitated doubly-clamped beam
In this paper, chaotic vibrations of a doubly clamped Euler-Bernoulli beam under magnetic excitation is being investigated. First by using the Galerkin Method the governing ordinary differential equations of vibrations of the beam at time space is extracted. Then nonlinear dynamics and chaos is studied by using the Poincare map. Existence of third order periodic orbit is indicated in the system by the means of simulation and finally it is concluded that there is chaos in the system according to the Li-Yorke theorem.