Nonlinear Dynamics

, Volume 50, Issue 1–2, pp 61–71 | Cite as

The effect of dynamical self-orientation and its applicability for identification of natural frequencies

  • Minvydas Ragulskis
  • Kazimieras Ragulskis


The effect of dynamical self-orientation and its applicability for the identification of natural frequencies of the investigated systems is demonstrated in this paper. Unidirectional vibration exciter is fixed to the investigated systems via a pivot link and can rotate around it. It is shown that the exciter changes its orientation in the steady state motion mode when the frequency of excitation sweeps over the fundamental frequency of the examined system. Approximate analytical analysis of the discrete system illustrates the basic principle of the effect of dynamical self-orientation. Numerical analysis of both the discrete and different continuous elastic systems confirms the applicability of the effect of self-orientation for the identification of natural frequencies.


Self-orientation Natural frequencies Pendulum Vibration Chaos 


Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.


  1. 1.
    Trueba, J.L., Baltanás J.P., Sanjuán, M.A.F.: A generalized perturbed pendulum. Chaos Solitons Fractals 15(5), 911–924 (2003)zbMATHCrossRefGoogle Scholar
  2. 2.
    Omar, H.M., Nayfeh, A.H.: Anti-swing control of gantry and tower cranes using fuzzy and time-delayed feedback with friction compensation. Shock Vib. 12(2), 73–90 (2005)Google Scholar
  3. 3.
    Belato, D., Weber, H.I., Balthazar, J.M.: Using transient and steady state considerations to investigate the mechanism of loss of stability of a dynamical system. Appl. Math. Comput. 164(2), 605–613 (2005)zbMATHCrossRefGoogle Scholar
  4. 4.
    Tsai, C.S., Chiang, T.C., Chen, B.J.: Finite element formulations and theoretical study for variable curvature friction pendulum system. Eng. Struct. 25(14), 1719–1730 (2003)CrossRefGoogle Scholar
  5. 5.
    Vyas, A., Bajaj, A.K.: Dynamics of autoparametric vibration absorbers using multiple pendulums. J. Sound Vib. 246(1), 115–135 (2001)CrossRefGoogle Scholar
  6. 6.
    Murnal, P., Sinha, R.: A seismic design of structure–equipment systems using variable frequency pendulum isolator. Nucl. Eng. Des. 231(2), 129–139 (2004)CrossRefGoogle Scholar
  7. 7.
    Song, Y., Sato, H., Iwata, Y., Komatsuzaki, T.: The response of a dynamic vibration absorber system with a parametrically excited pendulum. J. Sound Vib. 259(4), 747–759 (2003)CrossRefGoogle Scholar
  8. 8.
    Belato, D., Weber, H.I., Balthazar, J.M., Mook, D.T.: Chaotic vibrations of a nonideal electro-mechanical system. Int. J. Solids Struct. 38(10–13), 1699–1706 (2001)zbMATHCrossRefGoogle Scholar
  9. 9.
    Bathe, K.J.: Finite Element Procedures in Engineering Analysis. Prentice-Hall, Englewood Cliffs, NJ (1982)Google Scholar

Copyright information

© Springer Science+Business Media, Inc. 2006

Authors and Affiliations

  1. 1.Department of Mathematical Research in SystemsKaunas University of TechnologyKaunasLithuania

Personalised recommendations