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Shock and Vibration
Volume 2016 (2016), Article ID 8935247, 8 pages
http://dx.doi.org/10.1155/2016/8935247
Research Article

Dynamic Modeling and Response of a Rotating Cantilever Beam with a Concentrated Mass

1Institute of Vibration Engineering, Northwestern Polytechnical University, Xi’an 710072, China
2AECC Commercial Aircraft Engine CO., LTD, Shanghai 200241, China
3No. 771 Institute of Aerospace Times Electronics Corporation, Xi’an 710065, China

Received 12 July 2016; Revised 28 September 2016; Accepted 11 October 2016

Academic Editor: Toshiaki Natsuki

Copyright © 2016 Yang Yong-feng 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

The rigid-flexible coupling system with a hub and concentrated mass is studied in this paper. Considering the second-order coupling of axial displacement which is caused by transverse deformation of the beam, the dynamic equations of the system are established using the second Lagrange equation and the assumed mode method. The simulation results show that the concentrated mass mainly suppresses the vibration and exhibits damping characteristics. When the nondimensional mass position parameter , the first natural frequency is reduced as the concentrated mass increases. When , the first natural frequency is increased as the concentrated mass increases. We also find the maximum first natural frequency nondimensional position for the concentrated mass.