Track Rotation Gear Dashboard

Track Rotation Gear
\( \tau_{\text{swivel, design}} \) Swivel Design Torque (Nm) 0.000000
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Purpose: Peak Torsional Load.
Logic: The maximum operational torque spike applied to the master tracking rotation axis.
Type: Calculated (Math Output)
Render on Grids: None
Mathematical Formula:
DLLS Total Peak Required DLLS Torque TAR 1 (Nm)
Python Logic: N/A
Live Evaluation: N/A
\( R_{\text{track, rotation}} \) Track Rotation Gear Radius (m) 0.000000
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Purpose: Track Hub Radius.
Logic: The physical radius of the massive gear hard-mounted directly to the swiveling track chassis.
Type: Calculated (Math Output)
Render on Grids: None
Mathematical Formula:
DLLS Track rotation Gear radius (m)
Python Logic: N/A
Live Evaluation: N/A
\( R_{\text{drive, pinion}} \) Drive Pinion Gear Radius (m) 0.000000
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Purpose: Drive Pinion Radius.
Logic: The physical radius of the upper rotation gear delivering the input torque.
Type: Calculated (Math Output)
Render on Grids: None
Mathematical Formula:
DLLS Top track rotation gear radius (m)
Python Logic: N/A
Live Evaluation: N/A
\( \eta_{\text{mechanical, reduction}} \) Mechanical Reduction Ratio 0.000000
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Purpose: Torque Multiplier Ratio.
Logic: The 2:1 mechanical advantage that doubles input torque while maximizing rotational precision.
Type: Calculated (Math Output)
Render on Grids: None
Mathematical Formula:
Track Rotation Gear Radius (m) / Drive Pinion Gear Radius (m)
Python Logic: N/A
Live Evaluation: N/A
\( F_{\text{net, tangential}} \) Net Tangential Rotation Force (N) 0.000000
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Purpose: Linear Gear Mesh Pull.
Logic: The raw directional force moving across the hugging chain interface between the two giant gears.
Type: Calculated (Math Output)
Render on Grids: None
Mathematical Formula:
Swivel Design Torque (Nm) / Track Rotation Gear Radius (m)
Python Logic: N/A
Live Evaluation: N/A
\( X_{\text{req, rotation}} \) Required Rotation Rigidity (N/m) 0.000000
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Purpose: Stiffness Target.
Logic: The baseline structural rigidity required to keep the external gear teeth from deflecting beyond the 75-micron threshold.
Type: Calculated (Math Output)
Render on Grids: None
Mathematical Formula:
=Net Tangential Rotation Force (N) / Max Allowable Deflection (m)
Python Logic: N/A
Live Evaluation: N/A
\( W_{\text{predicted, rotation}} \) Predicted Rotation Gear Width (m) 0.000000
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Purpose: The External Spine Width.
Logic: The calculated physical face thickness of the carbon fiber gears required to prevent flex under full load (~30.1 cm).
Type: Calculated (Math Output)
Render on Grids: None
Mathematical Formula:
SQRT((6 * Net Tangential Rotation Force (N) * Track Rotation Gear Radius (m)) / (Carbon Fiber Modulus (GPa) * 10^9 * Max Allowable Deflection (m)))
Python Logic: N/A
Live Evaluation: N/A
Track Rotation Gear Pockets
\( X_{\text{rotation, chain}} \) Rotation Chain Pitch (m) 0.000000
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Purpose: Link Spacing.
Logic: The distance between individual joint pivots on the external hugging drive chain loop.
Type: Calculated (Math Output)
Render on Grids: None
Mathematical Formula:
GMEG Chain link (m)
Python Logic: N/A
Live Evaluation: N/A
\( N_{\text{active, rotation}} \) Number of Active Rotation Pockets 0.000000
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Purpose: Load Distribution Footprint.
Logic: The total number of pocket indents actively sharing the drive load over a full 180-degree wrap.
Type: Calculated (Math Output)
Render on Grids: None
Mathematical Formula:
(PI() * Track Rotation Gear Radius (m)) / Rotation Chain Pitch (m)
Python Logic: N/A
Live Evaluation: N/A
\( F_{\text{rotation, pocket}} \) Force Per Rotation Pocket (N) 0.000000
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Purpose: Tooth Contact Pressure.
Logic: The localized physical force exerted against a single indent wall during peak torque transfer.
Type: Calculated (Math Output)
Render on Grids: None
Mathematical Formula:
=Net Tangential Rotation Force (N) / Number of Active Rotation Pockets
Python Logic: N/A
Live Evaluation: N/A
Track Rotation Gear Safety Audit
\( \sigma_{\text{rotational, bending}} \) Rotational Bending Stress (MPa) 0.000000
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Purpose: Flexural Stress Verification.
Logic: Quantifies the structural stress experienced across the active gear teeth to ensure safe material operation.
Type: Calculated (Math Output)
Render on Grids: None
Mathematical Formula:
((6 * Net Tangential Rotation Force (N) * Track Rotation Gear Radius (m)) / (Number of Active Rotation Pockets * Predicted Rotation Gear Width (m) * (Track Rotation Gear Radius (m)^2))) / 10^6
Python Logic: N/A
Live Evaluation: N/A
\( \sigma_{\text{material, yield}} \) Material Yield Strength (MPa) 598.000000
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Purpose: Elastic Limit Threshold.
Logic: The calculated maximum stress the material can endure before reaching permanent deformation.
Type: Calculated (Math Output)
Render on Grids: None
Mathematical Formula:
Carbon Fiber Modulus (GPa) * 1000 * Strain Limit (%)
Python Logic: N/A
Live Evaluation: N/A
\( SF_{\text{rotation, safety}} \) Rotation Gear Safety Factor 0.000000
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Purpose: Structural Safety Margin.
Logic: Evaluates the operating headroom by calculating the ratio between the material yield limit and the active flexural stress.
Type: Calculated (Math Output)
Render on Grids: None
Mathematical Formula:
=Material Yield Strength (MPa) / Rotational Bending Stress (MPa)
Python Logic: N/A
Live Evaluation: N/A
\( X_{\text{rotation, blueprint}} \) Rotation Gear Blueprint Validation 0.000000
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Purpose: Status Validation.
Logic: Automated confirmation that the external gear geometry satisfies the prescribed global safety multiplier.
Type: Calculated (Math Output)
Render on Grids: None
Mathematical Formula:
IF(Rotation Gear Safety Factor > Safety Factor Slider, "ULTRA-SAFE", "REVISE")
Python Logic: N/A
Live Evaluation: N/A