Abstract
The goal of the paper is to analysed the influence of the different types of excitation on the synchronisation phenomenon in case of the rotating system composed of a rigid hub and three flexible composite beams. In the model is assumed that two blades, due to structural differences, are de-tuned. Numerical calculation are divided on two parts, firstly the rotating system is exited by a torque given by regular harmonic function, than in the second part the torque is produced by chaotic Duffing oscillator. The synchronisation phenomenon between the beams is analysed both either for regular or chaotic motions. Partial differential equations of motion are solved numerically and resonance curves, time series and Poincaré maps are presented for selected excitation torques.
Highlights
The synchronisation phenomenon was discovered by Christiaan Huygens in the XVII centry
Authors chose two pendulum clocks as identical as possible and observed the behavior of them, they checked whether Huygens was able to observe all type of synchronisation in the XVII centry
The synchronisation phenomenon is quite popular and well known issue, most of the scientist describe systems composed of different type of pendulums
Summary
The synchronisation phenomenon was discovered by Christiaan Huygens in the XVII centry He hang two pendulums clocks on one beam and found out that after some transient time pendulums moved synchronously. Authors chose two pendulum clocks as identical as possible and observed the behavior of them, they checked whether Huygens was able to observe all type of synchronisation in the XVII centry. The synchronisation of two self-excited double pendulums attached to the horizontal beam has been considered in [2]. The theoretical and experimental studies of synchronisation of two rotating in a vertical plane parametric pendulums attached to elastic support under harmonic excitation have been presented in [3]. The aim of this paper is to study synchronisation effect in the system composed of three composite beams attached to a hub rotating in the horizontal plane. The influence of aerodynamic loads is not taken into account in the analysed model
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