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Double Physical Pendulum with Magnetic Interaction

  • Mateusz WojnaEmail author
  • Jan Awrejcewicz
  • Grzegorz Wasilewski
Conference paper
Part of the Advances in Intelligent Systems and Computing book series (AISC, volume 934)

Abstract

The paper is devoted to experimental investigation of a system consisting of a double physical pendulum with magnetic interaction caused by a pair of permanent magnets repelling each other – one mounted on the end of a second link of a pendulum and one mounted in the body of the setup. To the experimental rig of double physical pendulum system with the first body periodically forced a constructed magnetic interaction forces measurement system is added. The work consists of investigation on how magnetic interaction forces depend on pendulum’s links relative angle. Constructed measurement system consists of two links shafts encoders and one force sensor – extensometer beam with an output signal amplifier. Three analog signals are read by acquisition device, sent to connected PC and processed in LabVIEW measurement software programs. The dynamics of the system is also observed. Regular and chaotic behaviors of the system are recorded depending on the frequency of the motor. The work is the first approach to electromechanical system of the double physical pendulum with magnets. Such system is a unique construction. The magnetic forces measurement system is constructed and tested. The regular and chaotic behaviors of the system are shown and discussed.

Keywords

Magnetic and mechanical system Double pendulum Magnets Experiment and construction 

References

  1. 1.
    Khomeriki, G.: Parametric resonance induced chaos in magnetic damped driven pendulum. Phys. Lett. A 380, 2382–2385 (2016)MathSciNetCrossRefGoogle Scholar
  2. 2.
    Siahmakoun, A., French, V.A., Patterson, J.: Nonlinear dynamics of a sinusoidally driven pendulum in a repulsive magnetic field. Am. J. Phys. 65, 393 (1997)CrossRefGoogle Scholar
  3. 3.
    Tran, V., Brost, E., Johnston, M., Jalkio, J.: Predicting the behavior of a chaotic pendulum with a variable interaction potential. CHAOS 23, 033103 (2013)CrossRefGoogle Scholar
  4. 4.
    Awrejcewicz, J., Supeł, B., Lamarque, C.-H., Kudra, G., Wasilewski, G., Olejnik, P.: Numerical and experimental study of regular and chaotic behavior of triple physical pendulum. Int. J. Bifurc. Chaos 18(10), 2883–2915 (2008)CrossRefGoogle Scholar
  5. 5.
    Awrejcewicz, J., Kudra, G., Wasilewski, G.: Potrójne wahadło fizyczne - wybrane aspekty eksperymentalne i numeryczne. XII Konferencja Naukowa Wibrotechniki i Wibroakustyki, VII Ogólnopolskie Seminarium Wibroakustyka w Systemach Technicznych (2006)Google Scholar
  6. 6.
    Awrejcewicz, J., Wasilewski, G.: Bifurkacje w układzie potrójnego wahadła fizycznego - badania eksperymentalne. In: XXII Sympozjum Mechaniki Eksperymentalnej Ciała Stałego (2006)Google Scholar

Copyright information

© Springer Nature Switzerland AG 2019

Authors and Affiliations

  1. 1.Department of Automation, Biomechanics and MechatronicsLodz University of TechnologyŁódźPoland

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