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Research Papers

A Study on the Correlation Between Dynamic Transmission Error and Dynamic Tooth Loads in Spur and Helical Gears

[+] Author and Article Information
N. Sainte-Marie

Internal and External Acoustics Department,
Aéroport International Marseille Provence,
Airbus Helicopters,
Marignane Cédex 13725, France
INSA de Lyon,
LaMCoS, UMR CNRS 5259,
Bâtiment Jean d'Alembert,
20 Avenue Albert Einstein,
Villeurbanne Cédex 69621, France
e-mail: Nina.Sainte-Marie@insa-lyon.fr

P. Velex

INSA de Lyon,
LaMCoS, UMR CNRS 5259,
Bâtiment Jean d'Alembert,
20 Avenue Albert Einstein,
Villeurbanne Cédex 69621, France
e-mail: Philippe.Velex@insa-lyon.fr

G. Roulois

Internal and External Acoustics Department,
Aéroport International Marseille Provence,
Airbus Helicopters,
Marignane Cédex 13725, France
e-mail: Guillaume.Roulois@airbus.com

J. Caillet

Internal and External Acoustics Department,
Aéroport International Marseille Provence,
Airbus Helicopters,
Marignane Cédex 13725, France
e-mail: Julien.Caillet@airbus.com

1Corresponding author.

Contributed by the Technical Committee on Vibration and Sound of ASME for publication in the JOURNAL OF VIBRATION AND ACOUSTICS. Manuscript received November 4, 2015; final manuscript received August 19, 2016; published online September 30, 2016. Assoc. Editor: Paul C.-P. Chao.

J. Vib. Acoust 139(1), 011001 (Sep 30, 2016) (10 pages) Paper No: VIB-15-1461; doi: 10.1115/1.4034631 History: Received November 04, 2015; Revised August 19, 2016

A three-dimensional (3D) dynamic gear model is presented which combines classic shaft, lumped parameter, and specific two-node gear elements. The mesh excitation model is based on transmission errors (TEs), and its mathematical grounding is briefly described. The validity of the proposed methodology is assessed for both spur and helical gears by comparison with experimental evidence. The model is then employed to analyze the relationship between dynamic transmission errors (DTE) and dynamic tooth loads (DF) or root stresses. It is shown that a linear dependency can be found as long as the system behavior is dominated by shaft torsion but that this linear relationship tends to disappear when bending cannot be neglected.

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References

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Sainte-Marie, N. , Velex, P. , Roulois, G. , and Marrot, F. , 2015, “ Transmission Error Based Simulations of the Dynamic Response of Geared Systems—On the Influence of Spacing Errors on Spur and Helical Gear Dynamics,” International Conference on Gears, VDI Wissenforum GmbH, Münich, Germany, pp. 721–734.

Figures

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Fig. 1

Experimental setup

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Fig. 2

Schematic representation of the complete setup [23]

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Fig. 3

Profile modifications

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Fig. 4

Strain gauges at tooth fillets

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Fig. 5

Comparison between experimental and simulated fillet stress—spur gears

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Fig. 6

Finite element model of the test rig

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Fig. 7

Comparison of experimental and simulated dynamic response—case (a)

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Fig. 8

Comparison of experimental and simulated dynamic response—case (b)

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Fig. 9

Comparison of experimental and simulated dynamic response—helical gears

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Fig. 10

Correlation between dynamic factors and DTE—spur gears—3D model

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Fig. 11

Correlation between dynamic factors and DTE—helical gears—3D model

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Fig. 12

Reduced torsional system derived from the test rig

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Fig. 13

Correlation between dynamic factors and DTE—spur gears—torsional model

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Fig. 14

Correlation between dynamic factors and DTE—helical gears—torsional model

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