The vibration behavior and the synchronization between some internal points of four coupled self-excited beams are numerically studied. Coupling through the root of the beams is considered. The transverse displacements of the internal points and the beam tips are monitored, and the power spectra of the resulting time series are employed to determine the oscillation frequencies. The synchronization between beams is analyzed using phase portraits and correlation coefficients. Numerical results show multiple frequencies in the vibration pattern, and complex patterns of synchronization between pairs of beams.
Zhang, W., Hu, W.H., Cao, D.X. and Yao, M.H. (2016) Vibration Frequencies and Modes of a Z-Shaped Beam with Variable Folding Angles. Journal of Vibration and Acoustics, 138, 1-7. http://dx.doi.org/10.1115/1.4033196
Bhaskar, K.K. and Saheb, K.M. (2015) Large Amplitude Free Vibrations of Timoshenko Beams at Higher Modes Using Coupled Displacement Field Method. Journal of Physics: Conference Series, 662, 012019.
Schultz, J.A., Heinrich, S., Josse, F., Dufour, I., Nigro, N.J., Beardslee, L.A. and Brand, O. (2015) Lateral-Mode Vibration of Microcantilever-Based Sensors in Viscous Fluids using Thimoshenko Beam Theory. Journal of Microelectromechanical Systems, 24, 848-860. http://dx.doi.org/10.1109/JMEMS.2014.2354596
Gabbai, R.D. and Benaroya, H. (2005) An Overview of Modeling and Experiments of Vortex-Induced Vibration of Circular Cylinders. Journal of Sound and Vibration, 282, 575-616. http://dx.doi.org/10.1016/j.jsv.2004.04.017
Junge, L. and Parlitz, U. (1998) Control and Synchronization of Spatially Extended Systems. Proceedings of the International Symposium on Nonlinear Theory and Its Applications (NOLTA’98), Crans, Montana, 14-17 September 1998, 775-778.
Bragard, J., Montbrio, E., Mendoza, C., Boccaletti, S. and Blasius, B. (2005) Defect-Enhanced Anomaly in Frequency Synchronization of Asymmetrically Coupled Spatially Extended Systems. Physical Review E, 71, 025201.