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Article

Effects of Periodic Magnetic Field to the Dynamics of Vibrating Beam

1
Institute of Physics, University of Bayreuth, D-95440 Bayreuth, Germany
2
Department of Statistics, Faculty of Arts and Sciences, Gazi University, 06500 Ankara, Turkey
3
Department of Physics, Faculty of Arts and Sciences, Gazi University, 06500 Ankara, Turkey
*
Author to whom correspondence should be addressed.
Math. Comput. Appl. 2004, 9(2), 275-284; https://doi.org/10.3390/mca9020275
Published: 1 August 2004

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.
Keywords: magnetoelastic beam; nonlinearity; Lyapunov exponent; dendogram magnetoelastic beam; nonlinearity; Lyapunov exponent; dendogram

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MDPI and ACS Style

Kurt, E.; Kasap, R.; Acar, S. Effects of Periodic Magnetic Field to the Dynamics of Vibrating Beam. Math. Comput. Appl. 2004, 9, 275-284. https://doi.org/10.3390/mca9020275

AMA Style

Kurt E, Kasap R, Acar S. Effects of Periodic Magnetic Field to the Dynamics of Vibrating Beam. Mathematical and Computational Applications. 2004; 9(2):275-284. https://doi.org/10.3390/mca9020275

Chicago/Turabian Style

Kurt, E., R. Kasap, and S. Acar. 2004. "Effects of Periodic Magnetic Field to the Dynamics of Vibrating Beam" Mathematical and Computational Applications 9, no. 2: 275-284. https://doi.org/10.3390/mca9020275

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