Effects of Periodic Magnetic Field to the Dynamics of Vibrating Beam

Abstract

Dynamics of a magnetoelastic beam in a periodic magnetic field is investigated. For this aim, a new measurement tool for the observation of vibrations of the beam is introduced in place of Using common strain-gauge technique. Several analyses including power spectra, maximal Lyapunov exponent, correlation dimension and time series clustering are carried out to determine vibrational aspects of the system. As a result of these analyses, it is found that the system extremely depends on the frequency of external field, even, the nonlinear character of the motion exhibits more complexity for the odd excitation frequencies.

Nonlinear Responses of a Magnetoelastic Beam in a Step-Pulsed Magnetic Field

“…It was not possible to obtain experimental results for every value of γ from the experimental point. Here, we will not give the details about the results of the experimental studies, meanwhile we would like to present a representative output in the case of f = 10 and γ = 2.61 (for more details see [16]). In Figures 9a and b, the corresponding time series from our numerical and experimental studies are shown, respectively.…”

“…Exponents equal to either 0 or negative values toward the periodic region. In one of our earlier studies, we also carried out an experimental research on this system [16]. In the experimental process a new tool, which consists of a laser-deduction mechanism was introduced for the measurement of the vibrations.…”

Explorations of displacement and velocity nonlinearities and their effects to power of a magnetically-excited piezoelectric pendulum

“…It was proved [21,22] that an electromagnet could create a static and inhomogeneous magnetic field near the tip of the magnetoelastic beam. The dynamics of the pendulum-like beam consists of a certain elastic force, gravitational force and magnetic force.…”

“…The damping coefficient is proven to be important in order to characterize such a harvester system. The effects of excitation frequencies in terms of even and odd values are undeniable in the sense that the system generates much complexity for odd frequencies (see in [21]). In addition, the intermediate regimes of two-well chaos persist for appropriate parameter sets such as the magnetic field magnitude and excitation frequency.…”

“…According to literature, the dynamic responses of beams can be different in terms of external excitations and system parameters and this reality obviously affects the energy harvesting mechanism of the proposed system. In previous papers [21,22], we studied such complicated responses of a magnetoelastic beam in a step-pulsed magnetic field, experimentally and theoretically. A numerous dynamic responses including periodic and chaotic ones were observed.…”