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Nonlinear tribo-dynamic model of helicopter mid-reducer system under light loss of lubrication

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Abstract

When the helicopter tail transmission system loses oil due to damage, the system needs to persist for 30 minutes. Therefore, the nonlinear tribo-dynamics model of the helicopter intermediate reducer (HIR) is established, which is coupled with the loss of oil lubrication. To simulate condition of the HIR system under the loss of lubrication (LOL), this study begins by establishing a complete HIR system CFD model, and analyse the lubrication of the gear tooth surface and the oil churning/windage under different lubrication conditions. Then, a coupled model based on the result of the CFD is proposed to calculate the coefficient of friction (COF) under the condition of light loss of lubrication (LLOL). The results show that COF gradually decreases first and then increases rapidly.

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Abbreviations

α oil :

Volume fraction of oil

ρ oil :

The oil density

u i :

Velocity vector

Λ :

Ratio of the modified lubricating oil film thickness

h 0C :

Oil film thickness

σ :

Equivalent average roughness

E :

Comprehensive elastic modulus

ΦT :

Thermal correction factor

L :

Temperature parameters

K f :

The thermal conductivity of the lubricant

β :

The thermal viscosity coefficient

H c :

Central oil film thickness

U :

The speed parameter

V e :

The entrainment speed

W :

The load parameter

F :

Force carried by the oil film

η 0 :

Standard dynamic viscosity

G :

Material parameter

α 0 :

Viscous pressure coefficient

k :

The contact ellipse parameter

R x/R y :

Composite radius of curvature

v :

Kinematic viscosity

η :

Dynamic viscosity

η P :

Maximum hertz contact stress

SR :

Slip to roll ratio

Tg :

The gear torque

v s :

Relative sliding speed

B g :

The width of tooth surface

r :

The pitch radius of the gear

μ EHL :

Friction coefficient of full film lubrication

μ BDR :

Friction coefficient of the adsorption film

μ Mix :

Friction coefficient of the mixed lubrication

δ D :

Normal displacement of the meshing point

F n :

Dynamic meshing force

C b :

Damping matrix

K b :

Stiffness matrix

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Acknowledgments

This research was funded by National Natural Science Foundation of China (52075241) and National Science and Technology Major Project (J2019-IV-0001-0068).

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Authors and Affiliations

  1. National Key Laboratory of Science and Technology on Helicopter Transmission, Nanjing University of Aeronautics and Astronautics, Nanjing, China

    Fengxia Lu, Xuechen Cao, Heyun Bao & Rupeng Zhu

Authors
  1. Fengxia Lu
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  2. Xuechen Cao
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  3. Heyun Bao
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  4. Rupeng Zhu
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Corresponding author

Correspondence to Fengxia Lu.

Additional information

Fengxia Lu is a doctor of College of Mechanical and Electrical Engineering, Nanjing University of Aeronautics and Astronautics, Nanjing, China. She received her Ph.D. in Mechanical Engineering from. Nanjing University of Aeronautics and Astronautics. Her research interests include mechanical transmission, lubrication system and heat transfer.

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Lu, F., Cao, X., Bao, H. et al. Nonlinear tribo-dynamic model of helicopter mid-reducer system under light loss of lubrication. J Mech Sci Technol 36, 5327–5339 (2022). https://doi.org/10.1007/s12206-022-0704-7

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  • DOI: https://doi.org/10.1007/s12206-022-0704-7

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