0
Research Papers

Time-Varying Meshing Stiffness Calculation and Vibration Analysis for a 16DOF Dynamic Model With Linear Crack Growth in a Pinion

[+] Author and Article Information
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 Shao1

State Key Laboratory of Mechanical Transmission,  Chongqing University, People’s Republic of China 400030ymshao@cqu.edu.cn

Yaguo Lei, Mingjian Zuo

Department of Mechanical Engineering,  University of Alberta, Canada T6G 2G8

1

Corresponding author.

J. Vib. Acoust 134(1), 011011 (Dec 28, 2011) (11 pages) doi:10.1115/1.4004683 History: Received June 08, 2010; Revised May 27, 2011; Accepted June 01, 2011; Published December 28, 2011; Online December 28, 2011

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.

FIGURES IN THIS ARTICLE
<>
Copyright © 2012 by American Society of Mechanical Engineers
Your Session has timed out. Please sign back in to continue.

References

Figures

Grahic Jump Location
Figure 2

Three-dimensional FE model of the pinion with a 100% crack

Grahic Jump Location
Figure 3

Meshing stiffness comparison for 4 different calculation methods. (a) Normal gear pair; (b) 100% crack on the pinion.

Grahic Jump Location
Figure 4

Evolution of meshing stiffness kt for the linear crack growth path

Grahic Jump Location
Figure 5

Meshing stiffness changes under different methods and different crack levels. (a) Tian’s method; (b) The proposed method.

Grahic Jump Location
Figure 6

Relationship among SVR value with the rotation angle and different crack levels. (a) SVR of Tian’s crack (kt_t) and perfect (kt_p); (b) SVR of Proposed crack (kt_t) and perfect (kt_p).

Grahic Jump Location
Figure 7

The 16DOF dynamic model of a one-stage gear system [6]

Grahic Jump Location
Figure 8

The diagram of the crack level estimation algorithm

Grahic Jump Location
Figure 9

Time domain comparison among the original signal, residual signal and demodulated signal from pinion. (a) Waveform of the original signal; (b) Spectrum of the original signal; (c) Waveform of the residual signal; and (d) Spectrum of the demodulated signal.

Grahic Jump Location
Figure 10

Indicators’ evolutions comparison between the original signal and residual signal from pinion. (a) Kurtosis evolution comparison; (b) RMS evolution comparison.

Grahic Jump Location
Figure 11

Indicators’ evolutions comparison among the residual and demodulated signal from pinion. (a) Kurtosis evolution comparison; (b) RMS evolution comparison.

Grahic Jump Location
Figure 12

Indicators’ evolutions comparison between 6DOF and 16DOF models. (a) Kurtosis evolution comparison; (b) RMS evolution comparison.

Grahic Jump Location
Figure 1

The crack growth model in the pinion

Tables

Errata

Discussions

Some tools below are only available to our subscribers or users with an online account.

Related Content

Customize your page view by dragging and repositioning the boxes below.

Related Journal Articles
Related eBook Content
Topic Collections

Sorry! You do not have access to this content. For assistance or to subscribe, please contact us:

  • TELEPHONE: 1-800-843-2763 (Toll-free in the USA)
  • EMAIL: asmedigitalcollection@asme.org
Sign In