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Shock and Vibration
Volume 2015, Article ID 382145, 11 pages
http://dx.doi.org/10.1155/2015/382145
Research Article

A Vibration Control Method for the Flexible Arm Based on Energy Migration

1School of Mechanical Engineering and Automation, Beihang University, Beijing 100191, China
2The Second of Corps of Engineers, GEH PLA, Beijing 100036, China

Received 19 January 2015; Revised 1 June 2015; Accepted 22 June 2015

Academic Editor: Vadim V. Silberschmidt

Copyright © 2015 Yushu Bian et al. 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.

Abstract

A vibration control method based on energy migration is proposed to decrease vibration response of the flexible arm undergoing rigid motion. A type of vibration absorber is suggested and gives rise to the inertial coupling between the modes of the flexible arm and the absorber. By analyzing 1 : 2 internal resonance, it is proved that the internal resonance can be successfully created and the exchange of vibration energy is existent. Due to the inertial coupling, the damping enhancement effect is revealed. Via the inertial coupling, vibration energy of the flexible arm can be dissipated by not only the damping of the vibration absorber but also its own enhanced damping, thereby effectively decreasing vibration. Through numerical simulations and analyses, it is proven that this method is feasible in controlling nonlinear vibration of the flexible arm undergoing rigid motion.