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Gearbox Selection Formula
Gearbox Selection Formula
Common Calculations
Screw Thrust Force
Input Torque
kgf*m
Screw Lead
mm
Friction coefficient
Screw Thrust Force
kgf*m
Screw Thrust Force = (Input Torque / ((lead / 1000) / (2 * 3.14))) * Friction coefficient
Screw Speed
Screw Lead
mm
Screw Roation Speed
mm
Moving Linear Velocity
m/min
Screw Speed = (Screw Lead * Speed) / 1000
Belt Or Gear Driving
Input Torque
kgf*m
Pitch Diameter
mm
Pitch Circumferential Force
kgf
Pitch Circumferential Force= (Input Torque / ((Pitch Diameter / 1000) / 2))
Calculation Of Linear Belocity
Weight
kg
Speed
m/min
Dissipation Power
kw
Dissipated Net Power = (Weight * Speed) / 6120
Maximum Torque Of Acceleration
Total EffectGD^2
kgf*m2
Relative Velocity Of Acceleration
rpm
Acceleration Time
Sec
Friction Torque
kgf*m
Maximum Torque Of Acceleration
kgf*m
Maximum Torque Of Acceleration = ((Total EffectGD^2 * Relative Velocity Of Acceleration) / (375 * Acceleration Time)) + 磨擦轉矩
Maximum Torque Of Deceleration
Total EffectGD^2
kgf*m2
Maximum Torque Of Deceleration
rpm
Deceleration Time
Sec
Friction Torque
kgf*m
Maximum Torque Of Deceleration
kgf*m
Maximum Torque Of Deceleration = ((Total EffectGD^2 * Relative Velocity Of Acceleration) / (375 * Acceleration Time)) - 磨擦轉矩
Gearbox Selection Calculations
Maximum Reduction Ratio
Operating Speed(rpm)
rpm
Motor Speed
rpm
best eduction Ratio
rpm
Best Reduction Ratio = ((Motor Speed * 0.9) / Operating Speed(rpm)) / 1.414
Best Reduction Ratio Of Mircular Motion
Angle Of Circular Motion
deg
Time Of Circular Motion
Sec
Motor Speed
rpm
Average Load Speed
rpm
Best Reduction Ratio
rpm
Average Load Speed = (((60 / Time Of Circular Motion) * Angle Of Circular Motion) / 360) * 1.414
Best Reduction Ratio = Motor Speed / Average Load Speed
Best Reduction Of Rectilinear Motion
Pitch Diameter
mm
Linear Velocity Of Circular Motion
m/min
Motor Speed
rpm
Average Load Speed
rpm
Best Reduction Ratio
rpm
"Average Load Speed = ((Linear Velocity Of Circular Motion * 1000) / (Pitch Diameter * pi)) * 1.414
Best Reduction Ratio = Motor Speed / Average Load Speed"
Maximum Loading Torque Of Servo Motor For Gearbox
Selected Motor Power
kw
Motor Rated Speed
rpm
Selected Reduction Ratio
Maximum Loading Torque
kgf*m
Maximum Loading Torque = ((Selected Motor Power * 974) / Motor Rated Speed) * 3 * Selected Reduction Ratio
Diameter Diagonal Conversion
Working Diameter
mm
Gearbox Backlash
min/arcms
Arc Length
mm
Arc Length = (((Working Diameter) * pi) / 360) * (Gearbox Backlash / 60)
Chord Length= ((Working Diameter/ 2) ^ 2 + (Working Diameter/ 2) ^ 2 - 2 * (Working Diameter / 2) * (Working Diameter / 2) * Cos((Gearbox Backlash / 60) * pi / 180)) ^ 0.5
Servomotor Selection Calculations
Equalization Motor Inertia
Flywheel Effec(GD^2)
kgf*m^2
Selected Reduction Ratio
Ratio Of Load Inertia To Servo Motor
Equalization Motor Inertia
kgf*m^2
Equalization Motor Inertia = (((Flywheel Effec / 4) * 10000) / (Selected Reduction Ratio) ^ 2 / (Ratio Of Load Inertia To Servo Motor))
Equalization Motor Inertia
Moment Of Inertia Of The LoadJL
kgf*m^2
Selected Reduction Ratio
Ratio Of Load Inertia To Servo Motor
Equalization Motor Inertia
kgf*m^2
Equalization Motor Inertia = Moment Of Inertia Of The Load * (1 / (Selected Reduction Ratio) ^ 2) / (Ratio Of Load Inertia To Servo Motor)