Compensation modification of plastic gear tooth profile considering meshing deformation

doi:10.1007/s11465-024-0803-5

Frontiers of Mechanical Engineering

2024, Vol. 19

Issue (5): 32 https://doi.org/10.1007/s11465-024-0803-5

本期目录

Compensation modification of plastic gear tooth profile considering meshing deformation

Mingyong LIU¹(

), Yaole SONG¹, Xinguang HAN¹, Jun HU¹, Chunai YAN²

¹. Hubei Agricultural Machinery Engineering Research and Design Institute, Hubei University of Technology, Wuhan 430068, China
². Intelligent Manufacturing Institute, Wuchang Institute of Technology, Wuhan 430065, China

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Abstract：

The plastic gear is widely used in agricultural equipment, electronic products, aircraft, and other fields because of its light weight, corrosion resistance, and self-lubrication ability. However, it has a limited range of working conditions due to the low modulus and thermal deformation of the material, especially in high-speed and heavy-duty situations. A compensation modification method (CMM) is proposed in this paper to restrain the heat production of the plastic gear tooth surface by considering the meshing deformation, and the corresponding modification formulas are derived. Improving the position of the maximum contact pressure (CP) and the relative sliding velocity (RSV) of the tooth surface resulted in a 30% lower steady-state temperature rise of the modified plastic gear tooth surface than that of the unmodified plastic gear. Meanwhile, the temperature rise of plastic gear with CMM is reduced by 19% compared with the traditional modification of removal material. Then, the influences of modification index and the segment number of modification on the meshing characteristics of plastic gear with CMM are discussed, such as maximum CP and steady-state temperature rise, RSV, transmission error, meshing angle, and contact ratio. A smaller segment number and modification index are beneficial to reduce the temperature rise of plastic gear with CMM. Finally, an experiment is carried out to verify the theoretical analysis model.

Key words： plastic gear compensation modification meshing deformation temperature rise tooth profile

收稿日期: 2024-02-04 出版日期: 2024-10-29

Corresponding Author(s): Mingyong LIU

引用本文:

. [J]. Frontiers of Mechanical Engineering, 2024, 19(5): 32.
Mingyong LIU, Yaole SONG, Xinguang HAN, Jun HU, Chunai YAN. Compensation modification of plastic gear tooth profile considering meshing deformation. Front. Mech. Eng., 2024, 19(5): 32.

链接本文:

https://academic.hep.com.cn/fme/CN/10.1007/s11465-024-0803-5
https://academic.hep.com.cn/fme/CN/Y2024/V19/I5/32

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Abbreviations
CMM	Compensation modification method
CP	Contact pressure
IFHF	Instantaneous frictional heat flux
POM	Polyoxymethylene
RSV	Relative sliding velocity
TSCA	Tooth side clearance amount
Variables
A	Initial yield stress
A₁, B₁, etc.	Position corresponding to θ on the pinion
B	Hardening coefficient
C	Sensitivity coefficient of strain rate
e	Groove thickness
k₁,k₂	Meshing stiffness of pinion and wheel, respectively
L₀	Modification constant
n	Hardening index
num	Segment number of modifications
M₂	Torque of wheel
r	Radius of circle
s	Tooth thickness
T	Temperature
t	Time
u	Friction coefficient
v	Relative sliding speed
x_p	x-coordinate of the center point on the tooth profile
y_p	y-coordinate of the center point on the tooth profile
z	Number of teeth
α	Pressure angle
α_n	Normal pressure angle
β	Modification index
σ	Equivalent stress
σ_y	Yield stress
$ε ˙$	Equivalent plastic strain rate
$ε ˙ 0$	Equivalent plastic reference strain rate
θ	Expansion angle
δ	Meshing deformation
ζ	Working pressure angle peak-to-peak value
ε	Equivalent strain
ε_α	Contact ratio
γ	Temperature softening parameters
ξ	Thermal energy conversion coefficient

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