69. Uncertainty of measurement of eigenfrequency using a dynamically directed vibroexciter

A. Sudintas1, P. Paškevičius2, L. Patašienė3, L. Ragulskis4

1, 2, 3Kaunas University of Technology, Kaunas, Lithuania

4Vytautas Magnus University, Kaunas, Lithuania

1Corresponding author

E-mail: 1antanas.sudintas@ktu.lt, 2petras.paskevicius@ktu.lt, 3laima.patasiene@ktu.lt, 4l.ragulskis@if.vdu.lt

(Received 20 March 2015; received in revised form 10 June 2015; accepted 23 June 2015)

Abstract. Measurement of eigenfrequency using a dynamically directed vibroexciter is investigated. Lyapunov indicators are calculated for various values of parameters of the system. It is shown that when the frequency of excitation coincides with the eigenfrequency there is a positive Lyapunov indicator. Thus chaotic motion takes place and causes uncertainty in the measurement of eigenfrequency.

Keywords: uncertainty of measurement, vibroexciter, dynamical directivity, eigenfrequency, Lyapunov indicator, chaos.

References

[1]        Neymark Yu. I., Landa P. S. Stochastic and Chaotic Vibrations. Nauka, Moscow, 1987, (in Russian).

[2]        Dmitriev A. S., Kislov V. Ya. Chaotic Oscillations in Radiophysics and Electronics. Nauka, Moscow, 1989, (in Russian).

[3]        Zaslavsky G. M., Sagdeev R. Z., Usikov D. A., Chernikov A. A. Weak Chaos and Quasi – Regular Patterns. Nauka, Moscow, 1991, (in Russian).

[4]        Awrejcewicz J., Krysko V. A. Chaos in Structural Mechanics. Springer, Berlin, 2008.

[5]        Ueda Y. The Road to Chaos – II. Aerial Press, Santa Cruz, 2001.

Cite this article

Sudintas A., Paškevičius P., Patašienė L., Ragulskis L. Uncertainty of measurement of eigenfrequency using a dynamically directed vibroexciter. Journal of Measurements in Engineering, Vol. 3, Issue 2, 2015, p. 48‑53.

 

Journal of Measurements in Engineering. June 2015, Volume 3, Issue 2
© JVE International Ltd. ISSN Print 2335-2124, ISSN Online 2424-4635, Kaunas, Lithuania