Nonlinear dynamics of a rotating SD oscillator

Q. Cao, N. Han, M. Wiercigroch

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

In this paper, we present a novel model which comprises a conventional pendulum and the presently proposed SD oscillator being of an oblique spring pinned to its rigid support. This model provides a cylindrical dynamical system with both smooth and discontinuous regimes depending on the value of a system parameter and also the dynamics transient relying on the coupling strength between the pendulum and the SD oscillator. The unperturbed system behaves both standard (smooth) and nonstandard (discontinuous) nonlinear dynamics of equilibrium bifurcations, periodic patterns and their separatrices of homoclinic and heteroclinic orbits of the first type, second-type and double heteroclinic orbits. Chaotic attractors are presented when the system is excited under the perturbation of viscous damping and external harmonic forcing within smooth regime. The results presented herein this paper show the dependency of the demonstrate attractors depending the coupling strength of the the pendulum and the SD oscillator exhibiting pendulum-type, SD-type and their mixture.

Original languageEnglish
Title of host publicationResearch and Applications in Structural Engineering, Mechanics and Computation
Subtitle of host publicationProceedings of the 5th International Conference on Structural Engineering, Mechanics and Computation, SEMC 2013
EditorsAlphose Zingoni
PublisherCRC Press
Pages163-168
Number of pages6
ISBN (Electronic)9781315850788
ISBN (Print)9781138000612
DOIs
Publication statusPublished - 15 Aug 2013
Event5th International Conference on Structural Engineering, Mechanics and Computation, SEMC 2013 - Cape Town, South Africa
Duration: 2 Sep 20134 Sep 2013

Conference

Conference5th International Conference on Structural Engineering, Mechanics and Computation, SEMC 2013
CountrySouth Africa
CityCape Town
Period2/09/134/09/13

Fingerprint

Pendulums
Orbits
Dynamical systems
Damping

ASJC Scopus subject areas

  • Civil and Structural Engineering
  • Mechanical Engineering

Cite this

Cao, Q., Han, N., & Wiercigroch, M. (2013). Nonlinear dynamics of a rotating SD oscillator. In A. Zingoni (Ed.), Research and Applications in Structural Engineering, Mechanics and Computation: Proceedings of the 5th International Conference on Structural Engineering, Mechanics and Computation, SEMC 2013 (pp. 163-168). [27] CRC Press. https://doi.org/10.1201/b15963-32

Nonlinear dynamics of a rotating SD oscillator. / Cao, Q.; Han, N.; Wiercigroch, M.

Research and Applications in Structural Engineering, Mechanics and Computation: Proceedings of the 5th International Conference on Structural Engineering, Mechanics and Computation, SEMC 2013. ed. / Alphose Zingoni. CRC Press, 2013. p. 163-168 27.

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Cao, Q, Han, N & Wiercigroch, M 2013, Nonlinear dynamics of a rotating SD oscillator. in A Zingoni (ed.), Research and Applications in Structural Engineering, Mechanics and Computation: Proceedings of the 5th International Conference on Structural Engineering, Mechanics and Computation, SEMC 2013., 27, CRC Press, pp. 163-168, 5th International Conference on Structural Engineering, Mechanics and Computation, SEMC 2013, Cape Town, South Africa, 2/09/13. https://doi.org/10.1201/b15963-32
Cao Q, Han N, Wiercigroch M. Nonlinear dynamics of a rotating SD oscillator. In Zingoni A, editor, Research and Applications in Structural Engineering, Mechanics and Computation: Proceedings of the 5th International Conference on Structural Engineering, Mechanics and Computation, SEMC 2013. CRC Press. 2013. p. 163-168. 27 https://doi.org/10.1201/b15963-32
Cao, Q. ; Han, N. ; Wiercigroch, M. / Nonlinear dynamics of a rotating SD oscillator. Research and Applications in Structural Engineering, Mechanics and Computation: Proceedings of the 5th International Conference on Structural Engineering, Mechanics and Computation, SEMC 2013. editor / Alphose Zingoni. CRC Press, 2013. pp. 163-168
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