Synchronization and Stability of Two Unbalanced Rotors with Fast Antirotation considering Energy Balance. (17th August 2015)

• Record Type: Journal Article
• Authors: Hou, Yongjun; Fang, Pan
• Other Names: Brennan Michael J. Academic Editor.
• Is Part Of: Mathematical problems in engineering. Volume 2015(2015)
• Publication Date: 2015-08-17
• Subjects: Engineering mathematics -- Periodicals; 510.2462
• DOI: 10.1155/2015/694145
• Languages: English
• ISSNs: 1024-123X

Abstract

Abstract : We consider synchronization and stability of two unbalanced rotors reversely and fast excited by induction motors fixed on an oscillating body. We explore the energy balance of the system and show how the energy is transferred between the rotors via the oscillating body allowing the implementation of the synchronization of the two rotors. An approximate analytical analysis, energy balance method, allows deriving the synchronization condition, and the stability criterion of the synchronization is deduce by disturbance differential equations. Later, to prove the correctness of the theoretical analysis, many features of the vibrating system are computed and discussed by computer simulations. The proposed method may be useful for analyzing and understanding the mechanism of synchronization, stability, and energy balance of similar fast rotation rotors excited by induction motors in vibrating systems.