RUS  ENG JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB
General information
Latest issue
Archive
Impact factor

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS



Regul. Chaotic Dyn.:
Year:
Volume:
Issue:
Page:
Find






Personal entry:
Login:
Password:
Save password
Enter
Forgotten password?
Register


Regul. Chaotic Dyn., 2016, Volume 21, Issue 4, Pages 437–454 (Mi rcd87)  

This article is cited in 1 scientific paper (total in 1 paper)

Chaos Control for the Plates Subjected to Subsonic Flow

Hamed Norouzia, Davood Younesianab

a School of Railway Engineering, Iran University of Science and Technology, Tehran 16846-13114, Iran
b Department of Mechanical Engineering, University of California, Berkeley, Berkeley, CA 94720, USA

Abstract: The suppression of chaotic motion in viscoelastic plates driven by external subsonic air flow is studied. Nonlinear oscillation of the plate is modeled by the von-Kármán plate theory. The fluid-solid interaction is taken into account. Galerkinís approach is employed to transform the partial differential equations of the system into the time domain. The corresponding homoclinic orbits of the unperturbed Hamiltonian system are obtained. In order to study the chaotic behavior of the plate, Melnikovís integral is analytically applied and the threshold of the excitation amplitude and frequency for the occurrence of chaos is presented. It is found that adding a parametric perturbation to the system in terms of an excitation with the same frequency of the external force can lead to eliminate chaos. Variations of the Lyapunov exponent and bifurcation diagrams are provided to analyze the chaotic and periodic responses. Two perturbation-based control strategies are proposed. In the first scenario, the amplitude of control forces reads a constant value that should be precisely determined. In the second strategy, this amplitude can be proportional to the deflection of the plate. The performance of each controller is investigated and it is found that the second scenario would be more efficient.

Keywords: chaos control, von-Kármán plate theory, Melnikovís method, Lyapunov exponent, bifurcation

DOI: https://doi.org/10.1134/S1560354716040043

References: PDF file   HTML file

Bibliographic databases:

MSC: 35L75, 37D45, 74H65
Language:

Citation: Hamed Norouzi, Davood Younesian, “Chaos Control for the Plates Subjected to Subsonic Flow”, Regul. Chaotic Dyn., 21:4 (2016), 437–454

Citation in format AMSBIB
\Bibitem{NorYou16}
\by Hamed~Norouzi, Davood~Younesian
\paper Chaos Control for the Plates Subjected to Subsonic Flow
\jour Regul. Chaotic Dyn.
\yr 2016
\vol 21
\issue 4
\pages 437--454
\mathnet{http://mi.mathnet.ru/rcd87}
\crossref{https://doi.org/10.1134/S1560354716040043}
\isi{http://gateway.isiknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&DestLinkType=FullRecord&DestApp=ALL_WOS&KeyUT=000380679700004}
\scopus{http://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84980348220}


Linking options:
  • http://mi.mathnet.ru/eng/rcd87
  • http://mi.mathnet.ru/eng/rcd/v21/i4/p437

    SHARE: VKontakte.ru FaceBook Twitter Mail.ru Livejournal Memori.ru


    Citing articles on Google Scholar: Russian citations, English citations
    Related articles on Google Scholar: Russian articles, English articles

    This publication is cited in the following articles:
    1. Norouzi H., Younesian D., “Nonlinear Vibration of Laminated Composite Plates Subjected to Subsonic Flow and External Loads”, Steel Compos. Struct., 22:6 (2016), 1261–1280  crossref  isi  scopus
  • Number of views:
    This page:71
    References:19

     
    Contact us:
     Terms of Use  Registration  Logotypes © Steklov Mathematical Institute RAS, 2020