Vibratory synchronization and coupling dynamic characteristics of multiple unbalanced rotors on a mass-spring rigid base

• Synchronization of multiple unbalanced rotors.
• Criterions of synchronization and stability.
• Ability and quality of synchronization.
• Coupling characteristics of multiple unbalanced rotors.

The investigation of a generalization of the model on vibratory synchronization for multiple unbalanced rotors (URs) is considered in present work. Based on the previous publications and using the average method of small parameters, the dimensionless coupling equation of multiple URs is constructed, and the criterions of synchronization and stability in the simplified form for multiple URs are given. Taking three counting-rotating URs for example, the coupling dynamic characteristics and synchronization regime of the system are discussed numerically. Then a vibrating synchronization bedstand corresponding to the dynamical model used in numerical discussion is set up, a more detailed discussion and parameter study in experiment are provided, through the analyses on experimental data such as phase differences, rotational velocities and synchronization quality, it is shown that the experimental results are in approximate or good agreement with the numerical/theoretical results, which validates the validity of the model and approach.