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Mathematical Problems in Engineering
Volume 2011, Article ID 451047, 15 pages
http://dx.doi.org/10.1155/2011/451047
Research Article

Dynamics of an Autoparametric Pendulum-Like System with a Nonlinear Semiactive Suspension

Department of Applied Mechanics, Lublin University of Technology, Nadbystrzycka 36, 20-618 Lublin, Poland

Received 5 August 2010; Revised 30 November 2010; Accepted 27 December 2010

Academic Editor: Maria do Rosário de Pinho

Copyright © 2011 Krzysztof Kecik and Jerzy Warminski. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Citations to this Article [19 citations]

The following is the list of published articles that have cited the current article.

  • P. Brzeski, P. Perlikowski, S. Yanchuk, and T. Kapitaniak, “The dynamics of the pendulum suspended on the forced Duffing oscillator,” Journal of Sound and Vibration, vol. 331, no. 24, pp. 5347–5357, 2012. View at Publisher · View at Google Scholar
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  • M. Kapitaniak, P. Perlikowski, and T. Kapitaniak, “Synchronous motion of two vertically excited planar elastic pendula,” Communications in Nonlinear Science and Numerical Simulation, vol. 18, no. 8, pp. 2088–2096, 2013. View at Publisher · View at Google Scholar
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  • Krzysztof Kecik, “Control of chaotic dynamics by magnetorheological damping of a pendulum vibration absorber,” Structural Engineering and Mechanics, vol. 51, no. 5, pp. 743–754, 2014. View at Publisher · View at Google Scholar
  • Krzysztof Kecik, Andrzej Mitura, Danuta Sado, and Jerzy Warminski, “Magnetorheological damping and semi-active control of an autoparametric vibration absorber,” Meccanica, 2014. View at Publisher · View at Google Scholar
  • Krzysztof Kecik, “Dynamics and control of an active pendulum system,” International Journal of Non-Linear Mechanics, 2014. View at Publisher · View at Google Scholar
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  • P. Brzeski, E. Pavlovskaia, T. Kapitaniak, and P. Perlikowski, “The application of inerter in tuned mass absorber,” International Journal of Non-Linear Mechanics, 2014. View at Publisher · View at Google Scholar
  • Zhimiao Yan, and Muhammad R Hajj, “Energy harvesting from an autoparametric vibration absorber,” Smart Materials and Structures, vol. 24, no. 11, pp. 115012, 2015. View at Publisher · View at Google Scholar
  • Sze-Hong Teh, Ko-Choong Woo, and Hazem Demrdash, “Rotating orbits of pendulum in stochastic excitation,” Journal of Theoretical and Applied Mechanics (Poland), vol. 54, no. 3, pp. 717–730, 2016. View at Publisher · View at Google Scholar
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  • Ting Tan, Zhimiao Yan, Yajian Zou, and Wenming Zhang, “Optimal dual-functional design for a piezoelectric autoparametric vibration absorber,” Mechanical Systems and Signal Processing, vol. 123, pp. 513–532, 2019. View at Publisher · View at Google Scholar
  • Krzysztof Kecik, “Architecture and Optimization of a Low Frequency Maglev Energy Harvester,” International Journal of Structural Stability and Dynamics, 2019. View at Publisher · View at Google Scholar