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Active Parametric Modification of Linear Vibrating Systems

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Smart Structures

Part of the book series: NATO Science Series ((ASHT,volume 65))

Abstract

Dynamical systems with variable parameters are usually considered in the context of parameteric resonances and instabilities. However, if the system parameters are changed suitably, then an improvement of dynamical properties of a given system can be observed. If this is the case, then we say that an active parametric modification is applied to the system.

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References

  1. Warburton, A.G.R.(1992) Reduction of Vibrations, John Wiley and Sons Ltd.

    Google Scholar 

  2. Pantelides, C.P.(1990) Optimum design of actively controlled structures, Earthquake Eng. Struct. Dyn. 19, 583–596.

    Google Scholar 

  3. Kaniathra, J.N., Speckhart, F.H.(September 1975) A technique for determining damping values and damper locations in multi-degree-of-freedom systems, Design Engineering Technical Conference, Washington, D.C, pp. 17–19.

    Google Scholar 

  4. Ossowski, A.(1997) Active parametric modification of a linear oscillator, 5th Polish-German Workshop on Dynamical Problems in Mechanical Systems, Zakopane, August 31st-September 6th.

    Google Scholar 

  5. Muszy/nska, A., Radziszewski, B. (1981) Exponential stability as a criterion of parametric modification in vibration control, Nonlinear Vibration Problems, 20, PWN, pp. 175–191.

    Google Scholar 

  6. Ossowski, A. (1989) On the exponential stability of non-stationary dynamical systems, Nonlinear Vibration Problems, 21, PWN, pp. 109–121.

    Google Scholar 

  7. Ossowski, A. (1994) Nonlinear stabilization of linear systems, Archives of Control Sciences, Vol.3, (XXXIX), No.1-2, pp. 69–84.

    Google Scholar 

  8. Kaiman, R., Beltram, J. (1960) Control system analysis and design via the “second method of Lyapunov”, I-Continuous time systems, Trans. ASME. J. of Basic Engineering, pp.371–393.

    Google Scholar 

  9. Lubiner, E., Elishakoff, I. (1986) Random vibrations of systems with finitely many degrees of freedom and several coalescent frequencies, Int. J. of Eng. Science. Vol.24, No.4.

    Google Scholar 

  10. Mohler, R.R. (1991) Non-linear systems, Vol.II, Application to bilinear control, Prentice Hall, Englewood Cliffs, New Jersey.

    Google Scholar 

  11. Ossowski, A. (1992) Application of neural networks to stabilization of dynamical systems, IFTR reports 32.

    Google Scholar 

  12. Cheung, J.Y., Mulholland, J. (1989) Using neural network as a feedback controller, Proc. of 32nd Midwest Symposium on Circuits and Systems, Washington.

    Google Scholar 

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© 1999 Springer Science+Business Media Dordrecht

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Ossowski, A. (1999). Active Parametric Modification of Linear Vibrating Systems. In: Holnicki-Szulc, J., Rodellar, J. (eds) Smart Structures. NATO Science Series, vol 65. Springer, Dordrecht. https://doi.org/10.1007/978-94-011-4611-1_28

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  • DOI: https://doi.org/10.1007/978-94-011-4611-1_28

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-0-7923-5613-4

  • Online ISBN: 978-94-011-4611-1

  • eBook Packages: Springer Book Archive

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