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Shock and Vibration
Volume 2016, Article ID 8641754, 22 pages
Research Article

Investigation for Synchronization of a Rotor-Pendulum System considering the Multi-DOF Vibration

School of Mechanical Engineering, Southwest Petroleum University, Chengdu 610500, China

Received 30 May 2015; Accepted 28 September 2015

Academic Editor: Tai Thai

Copyright © 2016 Yongjun Hou and Pan Fang. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


This work is a continuation for our published literature for vibration synchronization. A new mechanism, two rotors coupled with a pendulum rod in a multi-DOF vibration system, is proposed to implement coupling synchronization, and the dynamics equation of mechanism is derived by Lagrange equation. In addition, the coupling relationship between the vibrobody and the pendulum rod is ascertained with the Laplace transformation method, based on the dimensionless equation of the dynamics system. The Poincare method is employed to study the synchronization state between the two unbalanced rotors, which is converted into that of existence and the stability of solutions for synchronization-balance equations. The obtained results are supported by computer simulations. It is demonstrated that the values of the spring stiffness coefficient, the length of the pendulum, and the angular installation of the pendulum are important parameters with respect to the synchronous behavior in the rotor-pendulum system.