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Shock and Vibration
Volume 2017, Article ID 4846532, 14 pages
Research Article

Impedance Synthesis Based Vibration Analysis of Geared Transmission System

1Shaanxi Engineering Laboratory for Transmissions and Controls, Northwestern Polytechnical University, Xi’an 710072, China
2College of Engineering and Applied Science, University of Cincinnati, Cincinnati, OH 45221, USA

Correspondence should be addressed to Geng Liu; nc.ude.upwn@guilupn

Received 6 January 2017; Revised 2 April 2017; Accepted 12 April 2017; Published 20 June 2017

Academic Editor: Jeong-Hoi Koo

Copyright © 2017 Yafeng Ren 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.


The severity of gear noise response depends on the sensitivity of geared rotor system dynamics to the transmission error. As gearbox design trending towards lighter weight and lower noise, the influence of housing compliance on system dynamic characteristics cannot be ignored. In this study, a gear-shaft-bearing-housing coupled impedance model is proposed to account for the effect of housing compliance on the vibration of geared transmission system. This proposed dynamic model offers convenient modeling, efficient computing, and ability to combine computed parameters with experimental ones. The numerical simulations on system dynamic characteristics are performed for both a rigid housing configuration and a flexible one. Natural frequencies, dynamic mesh forces, and dynamic bearing reaction loads are computed, and the housing compliance contribution on system dynamic characteristics is analyzed. Results show that increasing housing compliance will decrease the system natural frequencies and will affect the dynamic bearing reaction loads significantly but have very little influence on the dynamic mesh force. Also, the analysis shows that bearing stiffness has significant influence on the degree of housing contribution on system dynamic characteristics.