A modified mathematical model for simulating gear crack from root with linear growth path in a pinion is developed, in which an improved potential energy method is used to calculate the time-varying meshing stiffnesses of the meshing gear pair while we also take the deformation of gear-body into consideration. The formulas for the meshing stiffness are deduced when the crack grows as the linear growth path in the pinion. A 16DOF dynamic model of a one-stage spur gear system is used to study the response from the system considering time-varying meshing stiffnesses and different levels of crack growing in the pinion. As vibration signals induced by the tooth crack are buried in normal vibration signals which are induced by the normal gear pair in meshing at the early stage of crack growth, the algorithm combined autoregressive modeling method and demodulation method is proposed to process the signals to investigate the response characteristics as the crack grows, and the comparison of the relationship between indicators and the crack levels from different simulation methods are given.
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e-mail: ymshao@cqu.edu.cn
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February 2012
Research Papers
Time-Varying Meshing Stiffness Calculation and Vibration Analysis for a 16DOF Dynamic Model With Linear Crack Growth in a Pinion
Xiaojun Zhou,
Xiaojun Zhou
State Key Laboratory of Mechanical Transmission,
Chongqing University
, People’s Republic of China
400030; Department of Mechanical Engineering, University of Alberta
, Canada
T6G 2G8
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Yimin Shao,
Yimin Shao
State Key Laboratory of Mechanical Transmission,
e-mail: ymshao@cqu.edu.cn
Chongqing University
, People’s Republic of China
400030
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Yaguo Lei,
Yaguo Lei
Department of Mechanical Engineering,
University of Alberta
, Canada
T6G 2G8
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Mingjian Zuo
Mingjian Zuo
Department of Mechanical Engineering,
University of Alberta
, Canada
T6G 2G8
Search for other works by this author on:
Xiaojun Zhou
State Key Laboratory of Mechanical Transmission,
Chongqing University
, People’s Republic of China
400030; Department of Mechanical Engineering, University of Alberta
, Canada
T6G 2G8
Yimin Shao
State Key Laboratory of Mechanical Transmission,
Chongqing University
, People’s Republic of China
400030e-mail: ymshao@cqu.edu.cn
Yaguo Lei
Department of Mechanical Engineering,
University of Alberta
, Canada
T6G 2G8
Mingjian Zuo
Department of Mechanical Engineering,
University of Alberta
, Canada
T6G 2G8J. Vib. Acoust. Feb 2012, 134(1): 011011 (11 pages)
Published Online: December 28, 2011
Article history
Received:
June 8, 2010
Revised:
May 27, 2011
Accepted:
June 1, 2011
Online:
December 28, 2011
Published:
December 28, 2011
Citation
Zhou, X., Shao, Y., Lei , Y., and Zuo, M. (December 28, 2011). "Time-Varying Meshing Stiffness Calculation and Vibration Analysis for a 16DOF Dynamic Model With Linear Crack Growth in a Pinion." ASME. J. Vib. Acoust. February 2012; 134(1): 011011. https://doi.org/10.1115/1.4004683
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