Synchronization of two asymmetric exciters in a vibrating system

Issue title: 2nd International Conference on Vibro-Impact Systems (ICoVIS), Sanya, China, 6–9 January, 2010

Article type: Research Article

Authors: Ren, Zhaohui | Zhao, Qinghua | Zhao, Chunyu | Wen, Bangchun

Affiliations: School of Mechanical Engineering and Automation, Northeastern University, Shenyang, 110004, China | Hebei State-owned Minerals Development & Investment Co., Ltd., Shijiazhuang, 050021, China

Note: [] Corresponding author: Zhaohui Ren, Tel.: +86 24 83679731; Fax: +86 24 83679731; E-mail: zhhren@mail.neu.edu.cn

Abstract: We investigate synchronization of two asymmetric exciters in a vibrating system. Using the modified average method of small parameters, we deduce the non-dimensional coupling differential equations of the two exciters (NDDETE). By using the condition of existence for the zero solutions of the NDDETE, the condition of implementing synchronization is deduced: the torque of frequency capture is equal to or greater than the difference in the output electromagnetic torque between the two motors. Using the Routh-Hurwitz criterion, we deduce the condition of stability of synchronization that the inertia coupling matrix of the two exciters is positive definite. A numeric result shows that the structural parameters can meet the need of synchronization stability.

Keywords: Synchronization, asymmetric exciters, frequency capture, vibrating system

DOI: 10.3233/SAV-2010-0579

Journal: Shock and Vibration, vol. 18, no. 1-2, pp. 63-72, 2011