Research Papers

Random Vibration Analysis of Planetary Gear Trains

[+] Author and Article Information
Jianming Yang

Member of ASME
Faculty of Engineering and Applied Science,
Memorial University of Newfoundland,
St John's, NL, CanadaA1B 3X5
e-mail: jyang@mun.ca

Ping Yang

School of Mechanical Engineering,
Jiangsu University,
Zhenjiang, China, 212013
e-mail: yangpingdm@ujs.edu.cn

1Corresponding author.

Contributed by the Design Engineering Division of ASME for publication in the Journal of Vibration and Acoustics. Manuscript received November 3, 2011; final manuscript received November 8, 2012; published online February 25, 2013. Assoc. Editor: Jean Zu.

J. Vib. Acoust 135(2), 021005 (Feb 25, 2013) (7 pages) Paper No: VIB-11-1267; doi: 10.1115/1.4023053 History: Received November 03, 2011; Revised November 08, 2012

This article investigates the vibration response of a planetary gear train under excitations of both deterministic and random loads. A lumped parameter model has been used in this investigation and the random excitations are represented by white noise. One version of the stochastic Newmark algorithms is employed to solve for both sample path response and the statistics of the response. The mean and the variance for all state variables are obtained through the same algorithm. The effects of three different levels of noise on the statistics are compared against each other.

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Fig. 1

Components of a basic PGT

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Fig. 7

Mean of x1;b = 10

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Fig. 8

Mean of x2;b = 10

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Fig. 9

Mean of x4;b = 10

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Fig. 10

Variance of x1;b = 10

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Fig. 11

Variance of x2;b = 10

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Fig. 2

Stiffness of s-p and r-p mesh

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Fig. 3

Response of x1;b = 90

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Fig. 4

Response of x2;b = 90

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Fig. 5

Response of x3;b = 90

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Fig. 6

Response of x4;b = 10

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Fig. 12

Variance of x4;b = 10




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