• Laser & Optoelectronics Progress
  • Vol. 59, Issue 7, 0714009 (2022)
Yulong Ma1, Xingzu Ming1、2、*, Songquan Jia1, Kefei Liu1, Haijun Xu2, and Binrui Fan2
Author Affiliations
  • 1School of Mechanical Engineering, Hubei University of Arts and Science, Xiangyang, Hubei 441053, China
  • 2School of Mechanical Engineering, Hunan University of Technology, Zhuzhou , Hunan 412007, China
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    DOI: 10.3788/LOP202259.0714009 Cite this Article Set citation alerts
    Yulong Ma, Xingzu Ming, Songquan Jia, Kefei Liu, Haijun Xu, Binrui Fan. Study on Energy Coupling Model and Tooth Surface Morphology of Face Gear Surface Machined by Femtosecond Laser[J]. Laser & Optoelectronics Progress, 2022, 59(7): 0714009 Copy Citation Text show less
    Energy transfer process from femtosecond laser source to crystal lattice
    Fig. 1. Energy transfer process from femtosecond laser source to crystal lattice
    Meshing of the geometric model
    Fig. 2. Meshing of the geometric model
    Variation process of electron and lattice temperature of the face gear material
    Fig. 3. Variation process of electron and lattice temperature of the face gear material
    Simulation convergence diagram
    Fig. 4. Simulation convergence diagram
    Temperature distribution of the material when the laser energy is 1.025 J/cm2. (a) Electron temperature; (b) lattice temperature
    Fig. 5. Temperature distribution of the material when the laser energy is 1.025 J/cm2. (a) Electron temperature; (b) lattice temperature
    Temperature distribution of the material when the laser energy is 5.255 J/cm2. (a) Electron temperature; (b) lattice temperature
    Fig. 6. Temperature distribution of the material when the laser energy is 5.255 J/cm2. (a) Electron temperature; (b) lattice temperature
    Lattice temperature distribution of the material along the radial and axial directions. (a) Radial lattice temperature; (b) axial lattice temperature
    Fig. 7. Lattice temperature distribution of the material along the radial and axial directions. (a) Radial lattice temperature; (b) axial lattice temperature
    Schematic diagram of the femtosecond laser micromachining system
    Fig. 8. Schematic diagram of the femtosecond laser micromachining system
    Experimental sample of the face gear
    Fig. 9. Experimental sample of the face gear
    Ablation line of materials at different energy densities. (a) Energy density is 1.025 J/cm2; (b) energy density is 5.255 J/cm2
    Fig. 10. Ablation line of materials at different energy densities. (a) Energy density is 1.025 J/cm2; (b) energy density is 5.255 J/cm2
    Three-dimensional ultra-depth-of-field SEM images under different energy densities. (a) Energy density is 1.025 J/cm2; (b) energy density is 5.255 J/cm2
    Fig. 11. Three-dimensional ultra-depth-of-field SEM images under different energy densities. (a) Energy density is 1.025 J/cm2; (b) energy density is 5.255 J/cm2
    SEM images at different energy densities. (a) Energy density is 1.730 J/cm2; (b) energy density is 3.845 J/cm2; (c) energy density is 4.550 J/cm2
    Fig. 12. SEM images at different energy densities. (a) Energy density is 1.730 J/cm2; (b) energy density is 3.845 J/cm2; (c) energy density is 4.550 J/cm2
    Three-dimensional ultra-depth-of-field SEM images under different energy densities. (a) Energy density is 1.730 J/cm2; (b) energy density is 3.845 J/cm2; (c) energy density is 4.550 J/cm2
    Fig. 13. Three-dimensional ultra-depth-of-field SEM images under different energy densities. (a) Energy density is 1.730 J/cm2; (b) energy density is 3.845 J/cm2; (c) energy density is 4.550 J/cm2
    Roughness of tooth surface of front face gear is finely machined. (a) Maximum roughness; (b) minimum roughness
    Fig. 14. Roughness of tooth surface of front face gear is finely machined. (a) Maximum roughness; (b) minimum roughness
    Tooth surface roughness at energy densities of 1.025 J/cm2 and 1.730 J/cm2. (a) Energy density is 1.025 J/cm2; (b) energy density is 1.730 J/cm2
    Fig. 15. Tooth surface roughness at energy densities of 1.025 J/cm2 and 1.730 J/cm2. (a) Energy density is 1.025 J/cm2; (b) energy density is 1.730 J/cm2
    Tooth surface roughness at energy densities of 3.845 J/cm2 and 4.550 J/cm2. (a) Energy density is 3.845 J/cm2; (b) energy density is 4.550 J/cm2
    Fig. 16. Tooth surface roughness at energy densities of 3.845 J/cm2 and 4.550 J/cm2. (a) Energy density is 3.845 J/cm2; (b) energy density is 4.550 J/cm2
    Tooth surface roughness at energy density of 5.255 J/cm2
    Fig. 17. Tooth surface roughness at energy density of 5.255 J/cm2
    ElementNiCrWMnSiCCuPS
    Mass fraction4.1901.4900.8900.3700.2400.1600.1000.0120.011
    Table 1. Chemical composition of the face gear material 18Cr2Ni4WA
    ParameterValueParameterValue
    Electronic heat capacity Ce /(J·K-1·m-3760.4Material conductivity σ0 /(m·Ω-1107
    Lattice heat capacity Ci /(J·K-1·m-33.5×106Material density ρ /(kg·m-37.91×103
    Melting temperature Tm /K1724Pulsewidth τ /s300×10-15
    Evaporation temperature Tn /K3023Thermal conductivity k78.4
    Laser transmission speed c /(m·s-13.8×108Vacuum dielectric constant ε0 /(F·m-18.85×10-12
    Laser wavelength λ0 /m1.03×10-6Fermi temperature Tf /K1.28×105
    Absorption factor α /m-17.1×107Reflectivity R0.51
    Table 2. Simulation parameters
    Serial numberParameterValue
    1tooth number of face gear60
    2number of pinions23
    3number of insert teeth25
    4module /mm3.5
    5pressure angle /(°)20
    6tip coefficient of small gear1.00
    7tooth root coefficient of small gear1.25
    8axis intersection angle /(°)90
    9outer radius of face gear /mm120
    10inner radius of face gear /mm102.5
    11tooth width /mm17.5
    12gear helix angle /(°)0
    13total weight fit /mm1
    Table 3. Design parameters of the face gear
    Power /WLaser energy /μJEnergy density /(J·cm-2Ablation diameter D /μmAblation depth H /μm
    Predicted valueExperimental valuePredicted valueExperimental value
    1.3131.02522.5121.5360.510.498
    1.9191.73024.0721.7040.820.758
    2.7273.84537.6638.2273.223.351
    3.7374.55038.2239.0963.713.772
    5.5555.25539.6640.1474.754.832
    Table 4. Predicted and experimental values of the face gear
    Yulong Ma, Xingzu Ming, Songquan Jia, Kefei Liu, Haijun Xu, Binrui Fan. Study on Energy Coupling Model and Tooth Surface Morphology of Face Gear Surface Machined by Femtosecond Laser[J]. Laser & Optoelectronics Progress, 2022, 59(7): 0714009
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