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An active electromagnetic stabilization of the Leipholz column

Treść / Zawartość
Identyfikatory
Warianty tytułu
Języki publikacji
EN
Abstrakty
EN
We study the application of electromagnetic actuators for the active stabilization of the Leipholz column. The cases of the compressive and tensional load of the column placed in air and in water are considered. The partial differential equation of the column is discretized by Galerkin's procedure, and the stability of the obtained control system is evaluated by the eigenvalues of its linearization. Four different methods of active stabilization are investigated. They incorporate control systems based on feedback proportional to the transverse displacement of the column, its velocity and the current in the electromagnets. Conditions in which these strategies are effective in securing safe operation of the column are discussed in detail.
Rocznik
Strony
161--174
Opis fizyczny
Bibliogr. 13 poz., rys., wzory
Twórcy
autor
  • Institute of Machine Design Fundamentals, Faculty of Automotive and Construction Machinery Engineering, Warsaw University of Technology, Narbutta 84, 02-524 Warsaw, Poland, tomasz.szmidt@gmail.com
Bibliografia
  • [1] M. A. De Rosa and C. Franciosi: The Influence of an Intermediate Support on the Stability Behaviour of Cantilever beams Subjected to Follower Forces. J. of Sound and Vibration, 137 (1990), 107-115.
  • [2] S. Kirstein, M. Mertesdorf and M. Schönhoff: The influence of a viscous fluid on the vibration dynamics of scanning near-field optical microscopy fiber probes and atomic force microscopy cantilevers. J. of Applied Physics, 84(4), (1998), 1782-1790.
  • [3] W. Kurnik: Magnetic Stabilization of a Rotor with Hydrodynamic Bearings. Machine Dynamics Problems, 7 (1994), 117-133.
  • [4] W. Kurnik: Active Magnetic Antiwhirl Control of a Rigid Rotor Supported on Hydrodynamic Bearings. Machine Dynamics Problems, 10 (1995), 21-36.
  • [5] W. Kurnik and M. Pękalak: Stability and Bifurcation Analysis of the Non-Linear Damped Leipholz Column. J. of Sound and Vibration, 152(2), (1992), 285-294.
  • [6] W. Kurnik and P. M. Przybyłowicz: Nonlinear Behavior of the Leipholz Column Actively Stabilized by Piezoelements. Proc. of the Int. Symp. on Active Control of Sound and Vibration ACTIVE'95, (Eds. S. Sommerfeldt, H. Hamada), Newport Beach, CA, USA, (1995), 139-150.
  • [7] W. Kurnik, P. Przybyłowicz and T. Szmidt: An application of electromagnetic phenomena to damping of mechanical vibrations. A chapter in: A. Tylikowski, Influence of parameter modifications on structure vibrations. Warsaw University of Technology, 2009, 53-87.
  • [8] H. P. Lee: Dynamic Stability of a Tapered Cantilever Beam on an Elastic Foundation Subjected to a Follower Force. Int. J. of Solids and Structures, 33(10), (1996), 1409-1424.
  • [9] P. Przybyłowicz and T. Szmidt: Magnetic damping of vibrations of a harmonic oscillator. Modelowanie Inżynierskie, 35 (2008), 101-106, (in Polish).
  • [10] P. Przybyłowicz and T. Szmidt: Electromagnetic damping of a mechanical harmonic oscillator with the effect of magnetic hysteresis. J. of Theoretical and Applied Mechanics, 47(2), (2009), 259-273.
  • [11] P. Przybyłowicz and T. Szmidt: Nonlinear response of a harmonically driven oscillator in magnetic field. Archives of Control Sciences, 20(1), (2010), 19-30.
  • [12] P. Przybyłowicz and T. Szmidt: Critical flow velocity in a pipe with electromagnetic actuators. XVIIth PSCS Scientific Workshops, Krynica Zdrój, Poland, (2010), (in Polish).
  • [13] T. Szmidt and P. Przybyłowicz: Bifurcation analysis of the Leipholz column with electromagnetic actuators. IInd Congress of Polish Mechanics, Poznań, Poland, (2011), (in Polish).
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-BSW3-0098-0011
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