Stability and Synchronous Characteristics of Dual-Rotors Vibrating System Considering the Material Effects

The stability and synchronization characteristics of vibrating system cannot be ignored to get a better form of motion. In the present work the stability and synchronous characteristics of dual-rotors vibrating system considering the material effects are studied. Firstly, the equations of motion about the vibrating system are solved using Lagrange theory, Newton's laws of motion and momentum theorem. Then the stability of the system is discussed based on the theory of nonlinear dynamics and Poincare theory using numerical simulation. Further the effect rules of material with different mass on phase difference of dual-rotors are revealed. Finally, the reliability and correctness of theoretical analysis and numerical simulation are verified approximately based on a prototype experiment in which the amplitude errors of vertical displacement about test point P1 and P2 are within the allowable limits of experimental error. It can be concluded that the stability of the system and the synchronous characteristics of dual-rotors decline with the mass ratio of material to vibrating body increasing.