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Mathematical and Computational Applications is published by MDPI from Volume 21 Issue 1 (2016). Articles in this Issue were published by another publisher in Open Access under a CC-BY (or CC-BY-NC-ND) licence. Articles are hosted by MDPI on mdpi.com as a courtesy and upon agreement with the previous journal publisher.
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Math. Comput. Appl. 2004, 9(2), 275-284; https://doi.org/10.3390/mca9020275

Effects of Periodic Magnetic Field to the Dynamics of Vibrating Beam

1,* , 2 and 3
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.
Published: 1 August 2004
PDF [625 KB, uploaded 31 March 2016]

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
This is an open access article distributed under the Creative Commons Attribution License (CC BY 3.0).
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Kurt, E.; Kasap, R.; Acar, S. Effects of Periodic Magnetic Field to the Dynamics of Vibrating Beam. Math. Comput. Appl. 2004, 9, 275-284.

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