Reverse Engineering Methodology for Gear Surface Optimization

Reverse engineering techniques enable precise reconstruction of gear morphology for tribological enhancement. The process begins with non-contact 3D laser scanning using a 3D SCANNER system (maximum volume: 550×450×450mm; accuracy: 0.2mm). Before scanning, gear surfaces undergo whitening treatment with DPT-5 developer to optimize reflectivity. Partial scanning exploits gear symmetry, with subsequent full-gear reconstruction through mirroring operations in Surfacer software.

Critical point-cloud processing includes noise removal and feature extraction:

Processing Stage Surfacer Function Objective
Noise Removal Point/Extract Points/Circle-Select Eliminate platform/interference points
Feature Fitting Curve/Construct3D/Circle/3 Point Establish reference geometry (center: 0,0,0)
Surface Reconstruction Surface/Transition/Merge Surface Seamless tooth surface integration

The reconstructed surface undergoes conversion to solid model via IGES export to UG-NX software. This reverse gear reconstruction pipeline enables parametric extraction of critical dimensions:

$$
\begin{cases}
z = \text{Number of teeth} \\
d_a = \text{Tip diameter} \\
d_f = \text{Root diameter} \\
p = \text{Pitch}
\end{cases}
$$

Bionic Non-Smooth Surface Design and Laser Processing

Biological analysis reveals soil organisms like dung beetles employ concave morphologies for wear resistance. Nine pit configurations were derived for reverse gear applications:

Table 1: Concave Morphology Parameters
Design Diameter (μm) Row Spacing (μm) Column Spacing (μm)
Pit 1 200 350 700
Pit 2 200 550 700
Pit 3 250 450 750
Pit 4 300 350 800
Pit 5 300 550 800

Laser texturing employed JHM-1GY-100B equipment with YAG laser (λ=1.06μm, max pulse energy=50J). Key processing parameters:

$$
\begin{array}{c|c|c}
\text{Parameter} & \text{Symbol} & \text{Value} \\
\hline
\text{Focal length} & f & 55\text{mm} \\
\text{Pulse width} & t_p & 10-15\text{ms} \\
\text{Scanning speed} & v_s & 99-163\mu\text{m/s} \\
\text{Peak current} & I_p & 130-180\text{A}
\end{array}
$$

Surface transformation occurred through melt-pool dynamics governed by power density thresholds:

$$
\begin{cases}
\text{Melting: } I \geq 10^4 \text{W/cm}^2 \\
\text{Vaporization: } I \geq 10^7 \text{W/cm}^2
\end{cases}
$$

Micro-Tribological Evaluation

Orthogonal testing (L₁₆(2¹⁵)) evaluated wear performance on CETR UMT tribometer with GCr15 counterbody (HRC 63, Ø4mm). Test matrix:

Table 2: Experimental Factors and Levels
Factor Level -1 Level 0 Level 1
Size (z₁, μm) 200 250 300
Spacing (z₂, μm) 350 450 550
Speed (z₃, rpm) 80 110 140
Load (z₄, N) 7 10 13

Volume wear rate (K) quantification:

$$
\Delta V = a \left[ \frac{r^2}{2} \arcsin\left(\frac{d}{2r}\right) – \frac{d}{4} \sqrt{4r^2 – d^2} \right]
$$
$$
K = \frac{\Delta V}{L \times T} \quad (\text{μm}^3/\text{N·min})
$$

where d = wear scar width, r = 2mm ball radius, a = 20mm sliding distance, L = load, T = 90min duration.

Non-smooth surfaces demonstrated superior wear resistance over conventional gears:

Table 3: Wear Resistance Improvement
Configuration Max Q (%) Min Q (%) Critical Parameters
Pit 4 135.39 42.83 z₁=300μm, z₂=350μm
Pit 2 8.86 7.22 z₁=200μm, z₂=550μm

Wear mechanisms combined adhesive and abrasive modes with debris entrapment in concavities. Optimal reverse gear performance occurred at low velocity (80rpm) and light load (7N) for Pit 4 configuration.

Regression Modeling of Wear Behavior

Multi-linear regression yielded predictive equations for volume wear rate (ŷ₁) and friction coefficient (ŷ₂):

$$
ŷ_1 = 7.0829 \times 10^5 – 1.1927 \times 10^3 z_1 + 8.117 \times 10^3 z_2 + 4.65 \times 10^3 z_3 + 8.9637 \times 10^4 z_4 + 1.1783 \times 10^{-4} z_2 z_3
$$
$$
ŷ_2 = 0.946 + 1.965 \times 10^{-4} z_1 – 6.076 \times 10^{-4} z_2 – 1.494 \times 10^{-3} z_3 – 7.265 \times 10^{-2} z_4 + 1.883 \times 10^{-5} z_2 z_4 + 7.750 \times 10^{-5} z_3 z_4
$$

Factor significance ranking:

  1. Volume wear: Load (z₄) > Speed (z₃) > Size (z₁) > Spacing (z₂)
  2. Friction: Load (z₄) > Speed (z₃) > Spacing (z₂) > Size (z₁)

Interaction effects remained below significance threshold (F<1), validating model robustness for reverse gear optimization.

Conclusion

Reverse engineering enables precise reconstruction of gear morphology for surface enhancement. Concave non-smooth geometries (300μm diameter/350μm spacing) fabricated via YAG laser texturing improve wear resistance by 135.4% through combined mechanisms: laser-induced martensitic transformation (hardness increase) and debris entrapment. Wear rate follows positive correlation with load/speed (R²=0.964), while friction coefficient exhibits inverse dependence. The regression models provide predictive tools for reverse gear surface optimization across operational conditions, demonstrating significant potential for industrial applications requiring enhanced durability.

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