This study presented a method for modeling the nonlinear system of a planetary gearbox and the fault diagnosis of a crack in a planetary gear based on the Volterra series theory. First, the exponential Hilbert reproducing kernel and its fast optimization algorithm was proposed and deduced in theory, and the fast solution of the fourth-order kernel of the Volterra series was successfully solved. Second, the Volterra series model estimation was compared with the least squares estimation of the actual collected signals from the planetary gearbox and the time-domain output signal was estimated using a neural network. The accuracy and the superiority of the Volterra series model of the planetary gearbox were then verified. At the same time, the convergence and the memory length of the Volterra series were discussed. In order to further mine and extract fault feature information, coupling relationship between the generalized frequency response of higher order spectrum of the Volterra series model and fault frequency was also studied. This study attempted to reflect the fault state and fault degree of a crack in a planetary gear from different observation angles and dimensions. Finally, the real condition loading test of a gearbox's comprehensive fault test platform was carried out. The validity of the method of nonlinear system modeling and fault diagnosis of the planetary gearbox, based on the Volterra series theory, was verified, and a new solution has been provided for related research in this field.
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April 2019
Research-Article
Fault Evolution Characteristic Analysis of Planetary Gear Based on Multidimensional Nonlinear Frequency Response
Haitao Wang,
Haitao Wang
School of Mechanical Engineering,
Xi'an University of Architecture and Technology,
Xi'an, Shaanxi 710055, China
Xi'an University of Architecture and Technology,
Xi'an, Shaanxi 710055, China
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Zhimao Tao,
Zhimao Tao
School of Mechanical Engineering,
Xi'an University of Architecture and Technology,
Xi'an, Shaanxi 710055, China
Xi'an University of Architecture and Technology,
Xi'an, Shaanxi 710055, China
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Lichen Shi,
Lichen Shi
School of Mechanical Engineering,
Xi'an University of Architecture and Technology,
Xi'an, Shaanxi 710055, China
e-mail: 35531342@qq.com
Xi'an University of Architecture and Technology,
Xi'an, Shaanxi 710055, China
e-mail: 35531342@qq.com
Search for other works by this author on:
Zhenya Kang
Zhenya Kang
School of Mechanical Engineering,
Xi'an University of Architecture and Technology,
Xi'an, Shaanxi 710055, China
Xi'an University of Architecture and Technology,
Xi'an, Shaanxi 710055, China
Search for other works by this author on:
Haitao Wang
School of Mechanical Engineering,
Xi'an University of Architecture and Technology,
Xi'an, Shaanxi 710055, China
Xi'an University of Architecture and Technology,
Xi'an, Shaanxi 710055, China
Zhimao Tao
School of Mechanical Engineering,
Xi'an University of Architecture and Technology,
Xi'an, Shaanxi 710055, China
Xi'an University of Architecture and Technology,
Xi'an, Shaanxi 710055, China
Lichen Shi
School of Mechanical Engineering,
Xi'an University of Architecture and Technology,
Xi'an, Shaanxi 710055, China
e-mail: 35531342@qq.com
Xi'an University of Architecture and Technology,
Xi'an, Shaanxi 710055, China
e-mail: 35531342@qq.com
Zhenya Kang
School of Mechanical Engineering,
Xi'an University of Architecture and Technology,
Xi'an, Shaanxi 710055, China
Xi'an University of Architecture and Technology,
Xi'an, Shaanxi 710055, China
1Corresponding author.
Contributed by the Design Engineering Division of ASME for publication in the JOURNAL OF COMPUTATIONAL AND NONLINEAR DYNAMICS. Manuscript received July 4, 2018; final manuscript received January 4, 2019; published online February 15, 2019. Assoc. Editor: Corina Sandu.
J. Comput. Nonlinear Dynam. Apr 2019, 14(4): 041007 (12 pages)
Published Online: February 15, 2019
Article history
Received:
July 4, 2018
Revised:
January 4, 2019
Citation
Wang, H., Tao, Z., Shi, L., and Kang, Z. (February 15, 2019). "Fault Evolution Characteristic Analysis of Planetary Gear Based on Multidimensional Nonlinear Frequency Response." ASME. J. Comput. Nonlinear Dynam. April 2019; 14(4): 041007. https://doi.org/10.1115/1.4042634
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