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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
ORIGINAL ARTICLE

Abstract

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.

Keywords

Self-orientation Natural frequencies Pendulum Vibration Chaos 

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Copyright information

© Springer Science+Business Media, Inc. 2006

Authors and Affiliations

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

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