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Research Papers

Failure Diagnosis of a Gear Box by Recurrences

[+] Author and Article Information
Arkadiusz Syta

 Department of Applied Mathematics, Technical University of Lublin, PL-20-618 Lublin, Polanda.syta@pollub.pl

Józef Jonak

 Department of Machine Construction, Technical University of Lublin, PL-20-618 Lublin, Polandj.jonak@pollub.pl

Łukasz Jedliński

 Department of Machine Construction, Technical University of Lublin, PL-20-618 Lublin, Polandl.jedlinski@pollub.pl

Grzegorz Litak1

 Department of Applied Mechanics, Technical University of Lublin, PL-20-618 Lublin, Poland; Department of Architecture, Buildings and Structures, Polytechnic University of Marche, Via Brecce Bianche, I-60131 Ancona, Italyg.litak@pollub.pl

1

Corresponding author.

J. Vib. Acoust 134(4), 041006 (May 31, 2012) (8 pages) doi:10.1115/1.4005846 History: Received April 08, 2011; Revised November 20, 2011; Published May 29, 2012; Online May 31, 2012

The recurrence analysis method is used in the mechanical diagnosis of a gear transmission system using time domain data. The recurrence is a natural behavior of a periodic motion system, which tells the state of the system, after running some time, and will approach a certain past state. In this paper, some statistical parameters of recurrence qualification analysis are extensively evaluated for the use of mechanical diagnosis, based on fairly short acceleration time series; recurrence results are compared with those obtained from Fourier analysis, and the identification procedures for the failure gear transmission by recurrences is also presented. It is found that, using only fairly short time series, some statistical parameters in quantification recurrence analysis can give clear-cut distinction between a healthy and damaged state.

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Copyright © 2012 by American Society of Mechanical Engineers
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References

Figures

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Figure 1

(a) Location of the sensors on the shaft where 1 and 2 stand for first and second sensor, respectively [11]. (b) 3D schematic view of a gear system.

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Figure 2

Acceleration time series describing acceleration in x direction of system with a pair of (a) damaged (1D) and (b) healthy (1H) gears, obtained by sensor 1

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Figure 3

Recurrence rate RR for healthy (a) H1, (b) H2 (dashed lines) and damaged (a) D1, (b) D2 (full lines) gears calculated with ɛ = 0.5

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Figure 4

Recurrence plots (with ɛ = 0.5) for the rotation interval 8 for the signals obtained from sensor 1 (see Fig. 3), and different gear systems: (a) healthy and (b) damaged ones, respectively. The embedding space consist of x, y, and z acceleration components.

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Figure 5

Selected RQA parameters versus ɛ for case 8 of the signals obtained from sensor 1 (see Fig. 3), and different gear systems: healthy (dashed lines) and damaged (full lines), respectively. The embedding space consists of x, y, and z acceleration components.

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Figure 6

Determinism DET for healthy (a) H1, (b) H2 (dashed lines) and damaged (a) D1, (b) D2 (full lines) gears calculated with ɛ = 0.5

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Figure 7

Lmax for healthy (a) H1, (b) H2 (dashed lines) and damaged (a) D1, (b) D2 (full lines) gears calculated with ɛ = 0.5

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Figure 8

L for healthy (a) H1, (b) H2 (dashed lines) and damaged (a) D1, (b) D2 (full lines) gears calculated with ɛ = 0.5

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Figure 9

Lentr for healthy (a) H1, (b) H2 (dashed lines) and damaged (a) D1, (b) D2 (full lines) gears calculated with ɛ = 0.5

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Figure 10

Laminarity LAM for healthy (a) H1, (b) H2 (dashed lines) and damaged (a) D1, (b) D2 (full lines) gears calculated with ɛ = 0.5

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Figure 11

Vmax for healthy (a) H1, (b) H2 (dashed lines) and damaged (a) D1, (b) D2 (full lines) gears calculated with ɛ = 0.5

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Figure 12

Trapping time TT for healthy (a) H1, (b) H2 (dashed lines) and damaged (a) D1, (b) D2 (full lines) gears calculated with ɛ = 0.5

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Figure 13

Ventr for healthy (a) H1, (b) H2 (dashed lines) and damaged (a) D1, (b) D2 (full lines) gears calculated with ɛ = 0.5

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Figure 14

Power spectra for the revolution 8 estimated for (a) x acceleration, (b) y acceleration, and (c) z acceleration for the healthy (H1) and damaged (D1) transmission gears. Note that the damaged system spectra have more localized and larger frequencies.

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