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Optimal Positioning of Viscous Dampers in Linear Multibody Systems

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Advanced Multibody System Dynamics

Part of the book series: Solid Mechanics and Its Applications ((SMIA,volume 20))

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Summary

Optimal positioning of dampers is an important aspect regarding the damping of vibrations of multibody systems. This study deals with the problem of finding the optimal damping constants and the optimal positions of viscous dampers for general linear mechanical systems with f degrees-of-freedom on the basis of an energy criterion. A program package MBMDAM has been developed which allows the computation of the value of the energy criterion and its constrained minimization with respect to the damping parameters of several dampers with technical restrictions.

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References

  1. Müller, P. C.; Weber, H. I.: Analysis and Optimization of Certain Qualities of Controllability and Observability for Linear Dynamical Systems. Automatica 8 (1972), 237–246.

    Article  MATH  Google Scholar 

  2. Schulz, G.: Heimbold, G.: Zur Positionierung von Stellgliedern und Sensoren mit gleichzeitiger Reglerauslegung für die Regelung großer flexibler Raumflugstrukturen. Regelungstechnik 31 (1983), 188–196.

    MATH  Google Scholar 

  3. Arbel, A.: Controllability Measures and Actuator Placement in Oscillatory Systems. Int. J. Control 33 (1981), 565–574.

    Article  MathSciNet  MATH  Google Scholar 

  4. Skelton, R. E.; Norris, G.: Selection of Sensors and Actuators in the Presence of Correlated Noise. Control–Theory and Advanced Technology 4 (1988), 53–71.

    Google Scholar 

  5. Norris, G.; Skelton, R. E.: Selection of Dynamic Sensors and Actuators in the Control of Linear Systems. ASME J. Dynamic Systems, Measurement, and Control 111 (1989), 389–397.

    Article  MATH  Google Scholar 

  6. Meirovitch, L.: Dynamics and Control of Structures. John Wiley & Sons, New York 1990.

    Google Scholar 

  7. Kanianthra, N.; Speckhart, F. H.: A Technique for Determining Damping Values and Damper Locations in Multidegree-of-Freedom Systems. Design Engineering Technical Conference, Washington, D.C., Sept. 17–19, 1975, ASME-Paper No. 75-DET-83.

    Google Scholar 

  8. Wang, B.P.; Pilkey, W. D.: Optimal Damper Location in the Vibration Control of Large Space Structures. Proc. AIAA Symp. Dynamics and Control of Large Flexible Spacecraft, Virginia Polytechnic Institute, Blacksburg, Va., USA, 1981.

    Google Scholar 

  9. Horner, G. C.: Optimum Damping Locations for Structural Vibrations Control. Proc. AIAA/ASME/ASCE/AHS 23rd Structures, Structural Dynamics, and Material Conference, 1982, 29–34.

    Google Scholar 

  10. Springer, H.: Optimale Lagerdämpfung für hochflexible Rotoren. Z. Angew. Math. Mech. 65 (1985), T105 - T107.

    Google Scholar 

  11. Müller, P. C.: Optimale Positionierung von Dämpfern in Schwingungssystemen. Z. Angew. Math. Mech. 67 (1987), T89 - T90.

    Google Scholar 

  12. Giirgöze, M; Müller, P.C.: Optimal Positioning of Dampers in Multibody Systems. J. Sound and Vibration 158 (1992), 517–530.

    Article  ADS  Google Scholar 

  13. Gürgöze, M; Müller, P.C.: Optimal Positioning of Viscous Dampers in Mechanical Systems with Multi-Degrees-of Freedom. Submitted to J. Sound and Vibration.

    Google Scholar 

  14. Müller, P.C.: Stabilität und Matrizen. Springer, Berlin-Heidelberg 1977.

    Book  MATH  Google Scholar 

  15. Bartels, R. H.; Stewart, G. W.: A Solution of the Equation AX + XB = C. Communications of the ACM 15 (1972), 820–826.

    Article  Google Scholar 

  16. Jacob, H. G.: Rechnergestützte Optimierung statischer und dynamischer Systeme. Fachberichte Messen, Steuern, Regeln Vol. 6, Springer, Berlin-Heidelberg 1982.

    Google Scholar 

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© 1993 Springer Science+Business Media Dordrecht

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Müller, P.C., Gürgöze, M. (1993). Optimal Positioning of Viscous Dampers in Linear Multibody Systems. In: Schiehlen, W. (eds) Advanced Multibody System Dynamics. Solid Mechanics and Its Applications, vol 20. Springer, Dordrecht. https://doi.org/10.1007/978-94-017-0625-4_15

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  • DOI: https://doi.org/10.1007/978-94-017-0625-4_15

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-90-481-4253-8

  • Online ISBN: 978-94-017-0625-4

  • eBook Packages: Springer Book Archive

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