Track Rotation Gear Dashboard
| ▼ Track Rotation Gear | ||||
| ☰ | \( \tau_{\text{swivel, design}} \) | Swivel Design Torque (Nm) | 1,443,120.468845 |
View Help GuidePurpose: 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:
$$\tau_{\text{swivel, design}} = \tau_{\text{total, DLLS}}$$ Python Logic:
v["TAR 1 Total Peak Required DLLS Torque (Nm)"]Live Evaluation: [ROUTE: STATIC/GLOBAL] 1,443,120.4688 = 1,443,120.4688
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| ☰ | \( R_{\text{track, rotation}} \) | Track Rotation Gear Radius (m) | 2.228169 |
View Help GuidePurpose: 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:
$$R_{\text{track, rotation}} = R_{\text{track}}$$ Python Logic:
v["TAR 1 Track rotation Gear radius (m)"]Live Evaluation: [ROUTE: STATIC/GLOBAL] 2.2282 = 2.2282
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| ☰ | \( R_{\text{drive, pinion}} \) | Drive Pinion Gear Radius (m) | 1.114085 |
View Help GuidePurpose: 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:
$$R_{\text{drive, pinion}} = R_{\text{input}}$$ Python Logic:
v["TAR 1 Top track rotation gear radius (m)"]Live Evaluation: [ROUTE: STATIC/GLOBAL] 1.1141 = 1.1141
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| ☰ | \( \eta_{\text{mechanical, reduction}} \) | Mechanical Reduction Ratio | 2 |
View Help GuidePurpose: 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:
$$\eta_{\text{mechanical, reduction}} = R_{\text{track}} / R_{\text{drive, pinion}}$$ Python Logic:
v["TAR 1 Track rotation Gear radius (m)"] / v["Drive Pinion Gear Radius (m)"]Live Evaluation: [ROUTE: STATIC/GLOBAL] 2.2282 / 1.1141 = 2.0000
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| ☰ | \( F_{\text{net, tangential}} \) | Net Tangential Rotation Force (N) | 647,670.951874 |
View Help GuidePurpose: 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:
$$F_{\text{net, tangential}} = \tau_{\text{swivel, design}} / R_{\text{drive, pinion}}$$ Python Logic:
v["Swivel Design Torque (Nm)"] / v["Drive Pinion Gear Radius (m)"]Live Evaluation: [ROUTE: STATIC/GLOBAL] 1,443,120.4688 / 1.1141 = 647,670.9519
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| ☰ | \( X_{\text{req, rotation}} \) | Required Rotation Rigidity (N/m) | 17,271,225,384.171085 |
View Help GuidePurpose: 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:
$$X_{\text{req, rotation}} = F_{\text{net, tangential}} / \Delta_{\text{max, allowable}}$$ Python Logic:
v["Net Tangential Rotation Force (N)"] / v["Max Allowable Deflection (m)"]Live Evaluation: [ROUTE: STATIC/GLOBAL] 647,670.9519 / 0.0001 = 17,271,225,384.1711
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| ☰ | \( W_{\text{predicted, rotation}} \) | Predicted Rotation Gear Width (m) | 1.001953 |
View Help GuidePurpose: 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:
$$W_{\text{predicted, rotation}} = \sqrt{(6 \times F_{\text{net, tangential}} \times R_{\text{track}}) / (\text{Fossil Carbon Fibre Modulus (GPa)} \times 10^9 \times \Delta_{\text{max, allowable}}))$$ Python Logic:
SQRT((6 * v["Net Tangential Rotation Force (N)"] * v["TAR 1 Track rotation Gear radius (m)"]) / (v["Fossil Carbon Fibre Modulus (GPa)"] * 10^9 * v["Max Allowable Deflection (m)"]))Live Evaluation: [ROUTE: STATIC/GLOBAL] SQRT((6 * 647,670.9519 * 2.2282) / (230.0000 * 10**9 * 0.0001)) = 1.0020
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| ▼ Track Rotation Gear Pockets | ||||
| ☰ | \( X_{\text{rotation, chain}} \) | Rotation Chain Pitch (m) | 0.1 |
View Help GuidePurpose: 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:
$$X_{\text{rotation, chain}} = L_{\text{link}}$$ Python Logic:
v["Chain link (m)"]Live Evaluation: [ROUTE: STATIC/GLOBAL] 0.1000 = 0.1000
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| ☰ | \( N_{\text{active, rotation}} \) | Number of Active Rotation Pockets | 70 |
View Help GuidePurpose: 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:
$$N_{\text{active, rotation}} = (\pi \times R_{\text{track}}) / X_{\text{rotation, chain}}$$ Python Logic:
(PI() * v["TAR 1 Track rotation Gear radius (m)"]) / v["Rotation Chain Pitch (m)"]Live Evaluation: [ROUTE: STATIC/GLOBAL] (PI() * 2.2282) / 0.1000 = 70.0000
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| ☰ | \( F_{\text{rotation, pocket}} \) | Force Per Rotation Pocket (N) | 18,504.88434 |
View Help GuidePurpose: 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:
$$F_{\text{rotation, pocket}} = F_{\text{net, tangential}} / N_{\text{active, rotation}}$$ Python Logic:
v["Net Tangential Rotation Force (N)"] / v["Number of Active Rotation Pockets"]Live Evaluation: [ROUTE: STATIC/GLOBAL] 647,670.9519 / 70.0000 = 18,504.8843
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| ▼ Track Rotation Gear Mass | ||||
| ☰ | \( V_{\text{track, rotation}} \) | Track Rotation Gear Volume (m3) | 15.627646 |
View Help GuidePurpose: Solid disc volunme
Logic: Determining the total volume of a solid track rotation gear
Type: Calculated (Math Output)
Render on Grids: None
Mathematical Formula:
$$V_{\text{track, rotation}} = \pi \times R_{\text{track, rotation}}^2 \times W_{\text{predicted, rotation}}$$ Python Logic:
PI() * v["Track Rotation Gear Radius (m)"]^2 * v["Predicted Rotation Gear Width (m)"]Live Evaluation: [ROUTE: STATIC/GLOBAL] PI() * 2.2282**2 * 1.0020 = 15.6276
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| ☰ | \( M_{\text{track, rotation}} \) | Track Rotation Gear Mass (kg) | 28,129.763385 |
View Help GuidePurpose: Total solid track rotation gear mass
Logic: Based on a solid disc determining the total expected weight of the track rotation gear
Type: Calculated (Math Output)
Render on Grids: None
Mathematical Formula:
$$M_{\text{track, rotation}} = V_{\text{track, rotation}} \times D_{\text{FCF}}$$ Python Logic:
v["Track Rotation Gear Volume (m3)"] * v["Fossil Carbon Fibre Density (kg.m3)"]Live Evaluation: [ROUTE: STATIC/GLOBAL] 15.6276 * 1,800.0000 = 28,129.7634
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| ☰ | \( V_{\text{track, rotation}} \) | Track Rotation Gear Volume Reduction factor (%) |
View Help GuidePurpose: Volume reduction
Logic: Stating the total volume reduction factor from solid to spoke design for the track rotation gear
Type: Manual Entry
Render on Grids: None
Mathematical Formula:
Adjustable user input Python Logic:
N/ALive Evaluation: N/A (Input Variable)
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| ☰ | \( \Sigma V_{\text{track, rotation}} \) | Track Rotation Gear Total Volume (m3) | 6.251058 |
View Help GuidePurpose: Optimised track rotation gear volume
Logic: Based on the volume reduction factor determining the optimised volume of the track rotation gear
Type: Calculated (Math Output)
Render on Grids: None
Mathematical Formula:
$$\Sigma V_{\text{track, rotation}} = V_{\text{track, rotation}} \times V_{\text{track, rotation}}$$ Python Logic:
v["Track Rotation Gear Volume (m3)"] * v["Track Rotation Gear Volume Reduction factor (%)"]Live Evaluation: [ROUTE: STATIC/GLOBAL] 15.6276 * 0.4000 = 6.2511
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| ☰ | \( \Sigma M_{\text{track, rotation}} \) | Track Rotation Gear Total Mass (kg) | 11,251.905354 |
View Help GuidePurpose: The total expected weight of the track rotation gear
Logic: The total weight of the track rotation gear after the volume reduction factor has been taken into account
Type: Calculated (Math Output)
Render on Grids: None
Mathematical Formula:
$$\Sigma M_{\text{track, rotation}} = M_{\text{track, rotation}} \times V_{\text{track, rotation}}$$ Python Logic:
v["Track Rotation Gear Mass (kg)"] * v["Track Rotation Gear Volume Reduction factor (%)"]Live Evaluation: [ROUTE: STATIC/GLOBAL] 28,129.7634 * 0.4000 = 11,251.9054
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| ▼ Track Rotation Gear Safety Audit | ||||
| ☰ | \( \sigma_{\text{rotational, bending}} \) | Rotational Bending Stress (MPa) | 0.049733 |
View Help GuidePurpose: 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:
$$\sigma_{\text{rotational, bending}} = ((6 \times F_{\text{net, tangential}} \times R_{\text{track}}) / (N_{\text{active, rotation}} \times W_{\text{predicted, rotation}} \times (R_{\text{track}}^2))) / 10^6$$ Python Logic:
((6 * v["Net Tangential Rotation Force (N)"] * v["TAR 1 Track rotation Gear radius (m)"]) / (v["Number of Active Rotation Pockets"] * v["Predicted Rotation Gear Width (m)"] * (v["TAR 1 Track rotation Gear radius (m)"]^2))) / 10^6Live Evaluation: [ROUTE: STATIC/GLOBAL] ((6 * 647,670.9519 * 2.2282) / (70.0000 * 1.0020 * (2.2282**2))) / 10**6 = 0.0497
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| ☰ | \( SF_{\text{rotation, safety}} \) | Rotation Gear Safety Factor | 12,024.280336 |
View Help GuidePurpose: 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:
$$SF_{\text{rotation, safety}} = \sigma_{\text{material, yield}} / \sigma_{\text{rotational, bending}}$$ Python Logic:
v["Fossil Carbon Fibre Material Yield Strength (MPa)"] / v["Rotational Bending Stress (MPa)"]Live Evaluation: [ROUTE: STATIC/GLOBAL] 598.0000 / 0.0497 = 12,024.2803
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| ☰ | \( X_{\text{rotation, blueprint}} \) | Rotation Gear Blueprint Validation | ULTRA-SAFE |
View Help GuidePurpose: Status Validation.
Logic: 1 if v["Rotation Gear Safety Factor"] > v["Safety Factor Slider"] else 0
Type: Calculated (Math Output)
Render on Grids: None
Mathematical Formula:
$$X_{\text{rotation, blueprint}} = IF(SF_{\text{rotation, safety}} > SF_{\text{safety, factor}}, 1, 0)$$ Python Logic:
1 if v["Rotation Gear Safety Factor"] > v["Safety Factor Slider"] else 0Live Evaluation: [ROUTE: STATIC/GLOBAL] 1 if 12,024.2803 > 2.5000 else 0 = 1.0000
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