Skip to main content
Log in

Determining the Tuning Parameters for a Roller Damper with Constraints

  • Published:
International Applied Mechanics Aims and scope

The effect of constraints for the travel of the working body of a roller damper on its tuning parameters is studied. A simple procedure for determining the tuning parameters of a roller damper with such constraints is proposed. A numerical experiment is conducted to obtain nomograms representing the dependence of the tuning parameters on the constraints. It is shown that the tuning parameters of the roller damper differ considerably from those of the roller without the constraints

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. V. P. Legeza, Theory of Vibration Isolation of Systems with Isochronous Roller Dampers (Model, Methods, Dynamic Analysis, Engineering Solutions) [in Russian], E-book, Lambert Academic Publishing, Saarbrücken, Deutschland (2013).

  2. M. Abe and Y. Fujino, “Dynamic characterization of multiple tuned mass dampers and some design formulas,” Int. J. Earthquake Eng. Struct. Dyn., 23, 813–835 (1994).

    Article  Google Scholar 

  3. C. C. Chang, “Mass dampers and their optimal designs for building vibration control,” Eng. Struct., 21, 454–463 (1999).

    Article  Google Scholar 

  4. J. P. Den Hartog, Mechanical Vibrations, McGraw-Hill, New York (1956).

    MATH  Google Scholar 

  5. O. Fisher and M. Pirner, “The ball absorber—a new tool for passive energy dissipation of vibrations of high buildings,” in: Proc. 7th Int. Semin. on Seismic Isolation, Passive Energy Dissipation and Active Control of Vibrations of Structures (Assisi, October 2–5, 2001), Vol. II, A. Martelli, ANIDIS–GLIS–Italian national association for seismic engineering – Working group for seismic isolation, Roma-Bologna (2002), pp. 103–110.

  6. Y. Fujino and M. Abe, “Design formulas for tuned mass damper based on a perturbation technique,” Int. J. Earthquake Eng. Struct. Dyn., 22, 833–854 (1993).

    Article  Google Scholar 

  7. T. Kдrnд, “Damping methods to mitigate wind-induced vibrations,” J. Struct. Mech., 42, No. 1, 38–47 (2009).

    Google Scholar 

  8. K. C. S. Kwok, “Damping increase in building with tuned mass damper,” ASCE J. Eng. Mech., 110, No. 11, 1645–1649 (1984).

    Article  Google Scholar 

  9. V. P. Legeza, “Dynamics of vibration isolation system with a quasi-isochronous roller shock absorber,” Int. Appl. Mech., 47, No. 3, 329–337 (2011).

    Article  ADS  MathSciNet  MATH  Google Scholar 

  10. V. P. Legeza and D. V. Legeza, “Vibration of a string with moving end,” Int. Appl. Mech., 50, No. 1, 87–91 (2014).

    Article  ADS  MathSciNet  Google Scholar 

  11. V. P. Legeza, “Determining the amplitude–frequency response and settings of a nonlinear vibration isolation system with a quasi-iochronous damper,” Int. Appl. Mech., 51, No. 2, 233–241 (2015).

    Article  ADS  MathSciNet  Google Scholar 

  12. J. Li, Z. Zhang, and J. Chen, “Experimental study on vibration control of offshore wind turbines using a ball vibration absorber,” J. Ener. Power Eng., No. 4, 153–157 (2012).

  13. D. J. Mead, Passive Vibration Control, J. Wiley & Sons, New York (1999).

    Google Scholar 

  14. J. Naprstek, C. Fisher, M. Pirner, and O. Fisher, “Non-linear dynamic behavior of a ball vibration absorber,” in: Proc. 3rd ECCOMAS Thematic Conf. on Computational Methods in Structural Dynamics and Earthquake Engineering (COMPDYN 2011), Corfu, Greece, May 26–28 (2011), pp. 1–14.

  15. K. Ogawa, F. Sakai, and K. Hayashi, “Development of impact mass damper and its application to tower structure,” Kawasaki Technical Review, No. 108, 84–89 (1991).

  16. M. Pirner, “Actual behaviour of a ball vibration absorber,” Wind Eng. Industr. Aerodyn., 90, No. 8, 987–1005 (2002).

    Article  Google Scholar 

  17. M. Pirner and O. Fischer, “One prototype of the ball absorber and its effect on the tower,” in: IASS. Proc. Working Group IV Masts and Towers, 19th Meeting in Krakow, Poland, September (1999), pp. 187–196.

  18. M. Pirner and O. Fischer, “The development of a ball vibration absorber for the use on towers,” IASS. J. Int. Assoc. Shell Spatial Struc., 41, No. 2, 91–99 (2000).

    Google Scholar 

  19. W. R. Reed, “Hanging-chain impact dampers, a simple method for damping tall flexible structures,” in: Proc. Conf. on Wind Effects on Buildings and Structures, Vol. 2, Toronto Univ. Press, Ottawa (1967), pp. 283–321.

  20. W. Weaver, S. P. Timoshenko, and D. H. Young, Vibration Problems in Engineering, John Wiley, New-York (1990).

    Google Scholar 

  21. Y. L. Xu and K. C. S. Kwok, “Semianalytical method for parametric study of tuned mass dampers,” ASCE. J. Struct. Eng., 120, No. 3, 747–764 (1994).

    Article  Google Scholar 

  22. Z.-L. Zhang, J.-B. Chen, and J. Li, “Theoretical study and experimental verification of vibration control of offshore wind turbines by a ball vibration absorber,” Struct. Infrastruct. Eng., 10, No. 8, 1100–1087 (2014).

    Google Scholar 

  23. Z.-L. Zhang, J. Li, S. R. K. Nielsen, and B. Basu, “Mitigation of edgewise vibrations in wind turbine blades by means of roller dampers,” J. Sound Vibr., 21, 5283–5298 (2014).

    Article  ADS  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to V. P. Legeza.

Additional information

Translated from Prikladnaya Mekhanika, Vol. 51, No. 6, pp. 104–111, November–December 2015.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Legeza, V.P. Determining the Tuning Parameters for a Roller Damper with Constraints. Int Appl Mech 51, 691–695 (2015). https://doi.org/10.1007/s10778-015-0726-2

Download citation

  • Received:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s10778-015-0726-2

Keywords

Navigation