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Mechanical Vibrations and Vibration Control

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Passive and Active Structural Vibration Control in Civil Engineering

Part of the book series: CISM International Centre for Mechanical Sciences ((CISM,volume 345))

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Abstract

In these lectures, an introduction is given into the basic concepts of the theory of active and passive vibration damping. First one degree of freedom systems are discussed with respect to the different solution techniques and with view to damping and isolation mechanisms. Next the theory of optimal control is briefly introduced and some examples are given. Mechanical systems with n degrees of freedom are discussed and the concepts of mechanical impedance, vibration absorption and impedance matching are studied. The sources of nonli-nearities in structural vibrations are examined and an appropriate solution technique is explored. Finally, special attention is devoted to a particular technical application, namely to the wind-exited vibrations of transmission lines, where the problem of the damping of bundles of conductors is discussed in more detail.

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References

  1. Hagedorn P., Otterbein S.: Technische Schwingungslehre, Springer, Berlin 1987.

    Book  Google Scholar 

  2. Bryson A.E., HoYu-Chi: Applied optimal control, Ginn, Waltham, Massachusetts, 1969

    Google Scholar 

  3. Hagedorn P.: Nonlinear Oscillations, Oxford University Press, Oxford, 1990

    Google Scholar 

  4. Lee E.B., Markus L.: Foundations of optimal control theory, John Wiley, New York, 1967

    MATH  Google Scholar 

  5. Hagedorn P., Otterbein S.: Technische Schwingungslehre. Springer, Berlin, 1987

    Book  Google Scholar 

  6. Schiel F.: Statik der Pfahlwerke, 2. Auflage, Springer, Berlin, 1987

    Google Scholar 

  7. Hagedorn P.: Nichtlinearitäten in der Schwingungstechnik. Einige Probleme und Lösungswege, Dynamische Probleme, Modellierung und Wirklichkeit, Mitteilung des Curt-Risch-Instituts der Universität Hannover, 1987, S. 1–22

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  8. Hagedorn P., Wallaschek J.: On Equivalent Harmonie and Stochastic Linearization for Nonlinear Mechanical Elements, Proc. IUTAM Symp. on Nonlinear Stochastic Dynamic Engineering Systems, June 21–26, 1987, Innsbruck

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  9. Hagedorn P.: Nonlinear Oscillations, Oxford University Press, Oxford 1988

    Google Scholar 

  10. Diana G., Falco M.: On the Forces Transmitted to a Vibration Cylinder by a Blowing Fluid, Meccanica 6, 1971, p9–22

    Article  Google Scholar 

  11. Doocy E.S., Hard A.R., Rawlins C.B., Ikegami R.: Transmission Line Reference Book, Wind Induced Conductor Motion. Electric Power Research Institute, Palo Alto, Cal., 1979

    Google Scholar 

  12. Farquharson F.B., McHugh R.E.: Wind Tunnel Investigation of conductor vibration with use of rigid models, AIEE Trans. PAS 75, p871–878, 1956

    Google Scholar 

  13. Hagedorn P.: Ein einfaches Rechenmodell zur Berechnung winderregter Schwingungen an Hochspannungsleitungen mit Dämpfern, Ingenieur-Archiv, 49, 1980, p161–177

    Article  MATH  Google Scholar 

  14. Hagedorn P.: On the Computation of Damped Wind-Excited Vibrations of Overhead Transmission Lines, J. of Sound & Vibration, 83, 1982, p253–271

    Article  MathSciNet  Google Scholar 

  15. Hagedorn P., Kraus M.: Aeolian Vibrations: Wind Energy Input Evaluated from Measurements on an Energized Transmission Line, IEEE Paper 90, SM 346–7 PWRD, presented at the IEEE Summer Power Meeting, Minneapolis, July 1990

    Google Scholar 

  16. Hagedorn P.: Leiterseilschwingungen in Theorie und Praxis: Ein Überblick, etz-Report, 26, VDE-Verlag, Berlin 1990

    Google Scholar 

  17. Rawlins C.B.: Power Imparted by Wind to a Model of a Vibrating Conductor, Electrical Products Division, ALCOA, Labs.; Massena, NY., 1982

    Google Scholar 

  18. Staubli T.: Untersuchung der oszillierenden Kräfte am querangeströmten schwingenden Kreiszylinder, Doctoral Thesis, ETH Zürich, Switzerland, Diss. ETH 7322, 1983

    Google Scholar 

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Author information

Authors and Affiliations

  1. Technical University of Darmstadt, Darmstadt, Germany

    P. Hagedorn

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  1. P. Hagedorn
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Editor information

Editors and Affiliations

  1. State University of new York at Buffalo, USA

    T. T. Soong  & M. C. Costantinou  & 

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© 1994 Springer-Verlag Wien

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Hagedorn, P. (1994). Mechanical Vibrations and Vibration Control. In: Soong, T.T., Costantinou, M.C. (eds) Passive and Active Structural Vibration Control in Civil Engineering. CISM International Centre for Mechanical Sciences, vol 345. Springer, Vienna. https://doi.org/10.1007/978-3-7091-3012-4_1

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  • DOI: https://doi.org/10.1007/978-3-7091-3012-4_1

  • Publisher Name: Springer, Vienna

  • Print ISBN: 978-3-211-82615-7

  • Online ISBN: 978-3-7091-3012-4

  • eBook Packages: Springer Book Archive

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