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Differential helical planetary gear transmission simulation and fatigue life analysis

Mingjun Qin

Mingjun Qin

School of Mechanical Engineering, Inner Mongolia University of TechnologyChina
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Qin, Mingjun
, 
Tiancai Cheng

Tiancai Cheng

School of Mechanical Engineering, Inner Mongolia University of TechnologyChina
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Cheng, Tiancai
, 
Chengze Yang

Chengze Yang

School of Mechanical Engineering, Inner Mongolia University of TechnologyChina
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Yang, Chengze
 e 
Zihao Liu

Zihao Liu

School of Mechanical Engineering, Inner Mongolia University of TechnologyChina
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Liu, Zihao
  
19 mar 2025
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Pubblicato online: 19 mar 2025
Ricevuto: 01 nov 2024
Accettato: 16 feb 2025
DOI: https://doi.org/10.2478/amns-2025-0386
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© 2025 Mingjun Qin et al., published by Sciendo
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

Figure 1.

Three-dimensional model of tracked agricultural machinery differentials
Three-dimensional model of tracked agricultural machinery differentials

Figure 2.

Parametric 3D model of bevel gears
Parametric 3D model of bevel gears

Figure 3.

Helical Bevel Gear Sub-Mesh Assembly Model
Helical Bevel Gear Sub-Mesh Assembly Model

Figure 4.

Helical Bevel Gear Sub-Mesh Division
Helical Bevel Gear Sub-Mesh Division

Figure 5.

Stress cloud at the meshing of helical bevel gears at different moments
Stress cloud at the meshing of helical bevel gears at different moments

Figure 6.

Comparison of gear meshing forces: (a) different speeds; (b) different moments
Comparison of gear meshing forces: (a) different speeds; (b) different moments

Figure 7.

Gear tooth stresses: (a) meshing in; (b) meshing out
Gear tooth stresses: (a) meshing in; (b) meshing out

Figure 8.

Force convergence curves at different speeds
Force convergence curves at different speeds

Figure 9.

Curve of usable life (cycles) of gears at different rotational speeds
Curve of usable life (cycles) of gears at different rotational speeds

Figure 10.

Hertz contact half-widths: (a) front face; (b) middle face; (c) back face; (d) fitted surface
Hertz contact half-widths: (a) front face; (b) middle face; (c) back face; (d) fitted surface

Figure 11.

Heat source of gear meshing friction during oil loss
Heat source of gear meshing friction during oil loss

Figure 12.

Gear face temperature change under oil loss condition
Gear face temperature change under oil loss condition

Maximum temperature of each segment of gear face under oil loss condition

Time (s) Front face temperature (°C) middle face temperature (°C) back face temperature (°C)
800 90 92 89
1600 110 121 105
2400 133 148 125
3200 152 172 143
4000 180 192 162
4800 205 212 181
5600 225 236 208
6400 265 262 225
7200 276 288 242
8000 308 315 273

Helical bevel gear pair boundary condition setting parameters

Makings Young’s modulus E/MPa Poisson’s ratio ν Densities ρ/g·cm - 3 Transition ratio Maximum number of layers Mesh Type
Q235 20000 0.3 7.85 0.272 5 Tetrahedral mesh

Parameters obtained for helical bevel gears

Number of teeth (mm) Tooth number Tooth width (mm) Pressure angle (°) Pitch cone angle (°) Helix angle (°) Top of tooth height factor Tooth root fillet radius (modulus) Headspace coefficient
2.5 20 15 20 45 20 1 0.2 0.2
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