[PLANETARY GEAR SYSTEM]

Design, analysis and dimensional specifications for planetary gear systems

[CONFIGURATION]

Gear characteristics and geometry

[GEOMETRY]

Dimensional specifications

SYSTEM GEOMETRY
CENTER DISTANCE (a)25.000 mm
SUN GEAR (Z20)
PITCH DIAMETER (d₁)20.000 mm
OUTER DIAMETER (da₁)22.000 mm
BASE DIAMETER (db₁)18.794 mm
PLANET GEAR (Z30)
PITCH DIAMETER (d₂)30.000 mm
OUTER DIAMETER (da₂)32.000 mm
BASE DIAMETER (db₂)28.191 mm
RING GEAR (Z80)
PITCH DIAMETER80.000 mm
INNER DIAMETER78.000 mm

[CALCULATIONS]

Derived parameters and validation

INTERMEDIATE CALCULATIONS
GEAR RATIO (i)5.0000:1
ANGULAR DISPLACEMENT (θ)72.0°
RING GEAR TEETH (Z₃)80
RING-SUN RATIO (R)4.000
CONTACT RATIO (ε)1.605

[VALIDATION]

Design constraint checks

VALID — ALL CHECKS PASSED

[TOOTH SPECIFICATIONS]

THICKNESS (s) 1.571 mmADDENDUM (ha) 1.000 mmDEDENDUM (hf) 1.250 mmCLEARANCE (c) 0.250 mmCIRCULAR PITCH (p) 3.142 mm

EXPERIMENTAL SOFTWARE. USE AT YOUR OWN RISK. RESULTS ARE PROVIDED AS-IS WITH NO WARRANTY. ALWAYS VERIFY CALCULATIONS INDEPENDENTLY BEFORE USE IN PRODUCTION.