CYLINDRICAL INVOLUTE GEARS
CALCULATION REPORT
Order Dware
Project CylGear
Sub project Planetary Gear Train
Item Niemann-Winter II page 364
ID Pinion z1 = 17
ID Gear z4 = -115
Calculated by André Dewispelaere
Company Dware
Date 13/07/2020

Verification calc plan gear train Symbol Unit Data
Planetary gear type -- -- idler
Motion state Symbol Unit Rot speed State
Rotation speed sun gear n1 rpm 100.000 imposed
Rotation speed ring gear n4 rpm 0.000 imposed
Rotation speed planet carrier nc rpm 12.800 dependent
Transmission is speed -- -- reducing
Modulus mn mm 5.500
Face width b mm 73.4
Helix angle β °.dec 0.00000
Number of planets p -- 3
Desired fixed carrier ratio i14 -- -6.8000
Input pair 1: sun-planet gear Symbol Unit Sun gear 1 Planet gr 2
Number of teeth z1,2 -- 17 49
Center distance a12 mm 183.000
Sum profile shift coefficients (x1 + x2) -- 0.0000
Profile shift coefficient x1,2 -- 0.2570 0.0000
Input pair 2: planet-ring gear Symbol Unit Planet gr 3 Ring gear 4
Number of teeth z3,4 -- 49 -115
Profile shift coefficient x3 -- 0.0240 --
Calc pair 1: sun-planet gear Symbol Unit Sun gear 1 Planet gr 2
Center distance a12 mm 183.000
Sum profile shift coefficients (x1 + x2) -- 0.2810
Good balanced gearing P4 P-Cl -- P4
Profile shift coefficient x1,2 -- 0.2570 0.0240
Reference diameter d1,2 mm 93.500 269.500
Tip diameter da1,2 mm 107.327 280.764
Calc pair 2: planet-ring gear Symbol Unit Planet gr 3 Ring gear 4
Center distance a34 mm -183.000
Sum profile shift coefficients (x3 + x4) -- -0.2810
Profile shift coefficient x3,4 -- 0.0240 -0.3050
Reference diameter d3,4 mm 269.500 -632.500
Tip diameter da3,4 mm 280.764 -624.855
Conditions Symbol Unit Data
Planets insert condition satisfied -- -- yes
Condition (x3 + x4) <= 0 satisfied -- -- yes
Condition x_4 <= 0 satisfied -- -- yes
Face width/reference diamet ratio b/d1 -- 0.79
Transmission ratios Symbol Unit Data
Fixed carrier ratio i14 -- -6.7647
Transm ratio sun gear-planet carr i1c -- 7.7647
Transm ratio sun gear-planet gear i12 -- 2.8824
Transm ratio planet gear-ring gear i34 -- -2.3469
Rotation speeds Symbol Unit Data
Rotation speed sun gear shaft n1 rpm 100.000
Rotation speed ring gear shaft n4 rpm 0.000
Rotation speed planet carr shaft nc rpm 12.879
Relative rotation speeds Symbol Unit Data
Relative rotation speed sun gear n1r rpm 87.121
Relative rotation speed planet gr n2r rpm -30.226
Relative rotation speed ring gear n4r rpm -12.879
Torques Symbol Unit Data
Torque on sun gear shaft T1 N.m 6875.492
Torque on ring gear shaft T4 N.m 46510.641
Torque on planet carrier shaft Tc N.m -53386.133
Forces Symbol Unit Data
Transverse tangent force sun gear Ft1 N -49023.12
Transverse tangent force plangr 2 Ft2 N 49023.12
Transverse tangent force planet 3 Ft3 N 49023.12
Transverse tangent force ring gear Ft4 N -49023.12
Transv force planet bearing shaft Fc N 98046.24