Springer Nature is making SARS-CoV-2 and COVID-19 research free. View research | View latest news | Sign up for updates

Determination of the amplitude-frequency characteristic of a vibroprotective system with two-mass pendulum damper in the linear statement

  • 38 Accesses

We study the dynamic behavior of a vibroprotective system with a two-mass pendulum damper. By using the Ritz averaging method, we deduce the equations for the amplitude-frequency characteristics of this system in the linear statement. A numerical method for the evaluation of the damper adjusted parameters is proposed.

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

References

  1. 1.

    V. P. Legeza, “Efficiency of the vibroprotective system with two-mass pendulum damper,” Strength Mater., 39, No. 5, 545–552 (2007).

  2. 2.

    A. N. Obmorshev, Introduction to the Theory of Vibrations [in Russian], Nauka, Moscow (1965).

  3. 3.

    S. P. Timoshenko, D. H. Young, and W. Weaver, Jr., Vibration Problems in Engineering, Wiley, New York (1974).

  4. 4.

    K. Magnus, Schwingungen. Eine Einführung in die theoretische Behandlung von Schwingungsproblemen, Teubner Verlagsgesellschaft, Stuttgart (1976).

  5. 5.

    M. V. Vasylenko and O. M. Alekseichuk, Theory of Vibrations and Stability of Motion [in Ukrainian], Vyshcha Shkola, Kyiv (2004).

  6. 6.

    I. M. Babakov, Theory of Vibrations [in Russian], Nauka, Leningrad (1968).

  7. 7.

    V. A. Postnov, V. O. Kalinin, and D. M. Rostovtsev, Vibration of Ships [in Russian], Sudostroenie, Leningrad (1983).

  8. 8.

    N. I. Levitskii, Vibrations in Mechanisms [in Russian], Nauka, Moscow (1988).

  9. 9.

    Ya. G. Panovko, Introduction to the Theory of Mechanical Vibrations [in Russian], Nauka, Moscow (1980).

  10. 10.

    W. Ritz, “Über eine neue Methode zur Lösung gewisser Variations — Probleme der mathematischen Physik,” Z. Reine Angew. Math. (Crelle), B135, No. 1, 1–61 (1909).

  11. 11.

    K. Klotter, “Nonlinear vibration problems treated by the averaging method of W. Ritz,” in: Proc. 1st U.S. Nat. Congr. Appl. Mech., Edwards Brothers, Chicago, Ill. (1951), pp. 125–131.

  12. 12.

    SNiP (Building Code) 2.01.07-85. Loads and Actions. Design-Basis Norms [in Russian], Gosstroi SSSR, Moscow (1987).

  13. 13.

    B. G. Korenev and I. M. Rabinovich (Eds.), Dynamic Analysis of Structures for Special Actions: Designer's Handbook [in Russian], Stroiizdat, Moscow (1981).

  14. 14.

    V. I. Sysoev, Devices for Damping Vibrations, in: B. G. Korenev and I. M. Rabinovich (Eds.), Designer's Handbook [in Russian], Stroiizdat, Moscow (1984).

  15. 15.

    V. V. D'yakonov, MathCAD-2001: A Special Handbook, PITER, St.-Petersburg (2002).

  16. 16.

    V. P. Legeza, “Influence of a spherical damper of forced vibrations with linear viscous friction on the dynamic behavior of the load-carrying body,” Probl. Upravl. Informat., No. 4, 44–52 (2003).

  17. 17.

    V. P. Legeza, “Regulation of the dynamic behavior of the load-carrying body based on the application of a cycloidal damper of forced vibrations with dry friction,” Probl. Upravl. Informat., No. 1, 99–106 (2002).

Download references

Author information

Correspondence to V. P. Legeza.

Additional information

Translated from Problemy Prochnosti, No. 6, pp. 100–109, November–December, 2008.

Rights and permissions

Reprints and Permissions

About this article

Cite this article

Legeza, V.P. Determination of the amplitude-frequency characteristic of a vibroprotective system with two-mass pendulum damper in the linear statement. Strength Mater 40, 670–677 (2008). https://doi.org/10.1007/s11223-008-9085-0

Download citation

Keywords

  • vibroprotective system
  • two-mass pendulum damper
  • amplitude-frequency characteristic
  • Ritz averaging method
  • damper adjusted parameters