IERS Dashboard

Track Rotational forces
\( I_{\text{track}} \) Track Moment of Inertia (I) 0.000000
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Purpose: Quantifies the structural resistance of the track to angular acceleration during the TAR. - ( 1 / 12 ) * Total Optimized Track Mass (kg) * ( Track length (m) ^ 2
Logic: None
Type: Calculated (Math Output)
Render on Grids: None
Mathematical Formula:
N/A
Python Logic: N/A
Live Evaluation: N/A
\( \Delta\theta \) Angle (Radians) 0.000000
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Purpose: Defines the total angular displacement required for a full Track Arc Rotation. - RADIANS ( Angle tilt (degrees) * 2 )
Logic: None
Type: Calculated (Math Output)
Render on Grids: None
Mathematical Formula:
N/A
Python Logic: N/A
Live Evaluation: N/A
\( t_{\text{lift}}^{2} \) TAR Time Squared 0.000000
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Purpose: Intermediate value used to determine the rate of angular acceleration. - TAR Time ^ 2
Logic: None
Type: Calculated (Math Output)
Render on Grids: None
Mathematical Formula:
N/A
Python Logic: N/A
Live Evaluation: N/A
\( \alpha \) Angular Acceleration 0.000000
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Purpose: Calculates the constant angular acceleration required to complete the rotation in the specified time. (?) - ( 4 * Angle ( Radians ) ) / TAR Time Squared
Logic: None
Type: Calculated (Math Output)
Render on Grids: None
Mathematical Formula:
N/A
Python Logic: N/A
Live Evaluation: N/A
\( \tau_{\text{peak, inertial}} \) Peak Inertial Torque (Nm) 0.000000
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Purpose: Defines the maximum rotational torque required to overcome the track's inertia (acceleration and deceleration). - Moment of Inertia (I) * Angular Accelleration (?)
Logic: None
Type: Calculated (Math Output)
Render on Grids: None
Mathematical Formula:
N/A
Python Logic: N/A
Live Evaluation: N/A
\( \omega_{\text{max}} \) Max Angular Velocity 0.000000
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Purpose: Calculates the peak rotational speed achieved at the midpoint of the Track Arc Rotation. - Angular Accelleration (?) * (Lift Time (s) / 2)
Logic: None
Type: Calculated (Math Output)
Render on Grids: None
Mathematical Formula:
N/A
Python Logic: N/A
Live Evaluation: N/A
\( E_{\text{k}} \) Kinetic Energy (J) 0.000000
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Purpose: Defines the total inertial work required to accelerate the track mass to its peak speed - ( 0.5 ) * Moment of Inertia (I) * Max Angular Velocity ^ 2
Logic: None
Type: Calculated (Math Output)
Render on Grids: None
Mathematical Formula:
N/A
Python Logic: N/A
Live Evaluation: N/A
\( M_{\text{track}} \) Total Optimized Track Mass (kg) 0.000000
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Purpose: Defines the mass used for all inertial and gravitational calculations. - Total Optimized Track Mass (kg)
Logic: None
Type: Calculated (Math Output)
Render on Grids: None
Mathematical Formula:
N/A
Python Logic: N/A
Live Evaluation: N/A
Spring support system
\( \eta_{\text{spring}} \) Spring system efficiency (%) - Adjustable user input
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Purpose: Defines the proportion of the track's inertial work that is counteracted by the spring system.
Logic: None
Type: Manual Entry
Render on Grids: None
Mathematical Formula:
$$\text{User Input}$$
Python Logic: N/A
Live Evaluation: N/A (Input Variable)
\( W_{\text{spring}} \) Inertial Work Supplied by Springs (J) 0.000000
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Purpose: Calculates the mechanical work performed by the spring system to aid in accelerating the track structure. - Kinetic Energy (J) * Spring system efficiency (%)
Logic: None
Type: Calculated (Math Output)
Render on Grids: None
Mathematical Formula:
N/A
Python Logic: N/A
Live Evaluation: N/A
\( W_{\text{deficit}} \) Inertial Work Deficit for Flywheel (J) 0.000000
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Purpose: Determines the net amount of inertial work that must be supplied by the DLLS flywheel to complete the track rotation. - Kinetic Energy (J) - Inertial Work Supplied by Springs (J)
Logic: None
Type: Calculated (Math Output)
Render on Grids: None
Mathematical Formula:
$$W_{\text{deficit}} = W_{\text{spring}}$$
Python Logic: v["Inertial Work Supplied by Springs (J)"]
Live Evaluation: [ROUTE: STATIC/GLOBAL] 0.0000 = 0.0000
\( F_{\text{torque}} \) Flywheel Torque Contribution Factor 0.000000
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Purpose: Quantifies the fraction of the track's peak inertial torque the flywheel system is responsible for supplying. - 1 - Spring system efficiency (%)
Logic: None
Type: Calculated (Math Output)
Render on Grids: None
Mathematical Formula:
N/A
Python Logic: N/A
Live Evaluation: N/A
\( \tau_{\text{net, flywheel}} \) Net Peak Flywheel Torque (Nm) 0.000000
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Purpose: Calculates the maximum instantaneous torque the flywheel must deliver to overcome the remaining inertial resistance. - Peak Inertial Torque (Nm) * Flywheel Torque Contribution Factor
Logic: None
Type: Calculated (Math Output)
Render on Grids: None
Mathematical Formula:
N/A
Python Logic: N/A
Live Evaluation: N/A