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GEAR RATIO CALCULATIONS OF VERTICAL ROLLER MILL (LINE-2)
Syed Fahad Ahmed
SMT - Mechanical
Ratio in 1st
Stage (Bevel Stage)
Input Speed = N1 = 990 rpm
Output Speed = N2 =?
Teeth of Input pinion = T1 = 26
Teeth of output gear = T2 = 41
𝑆𝑝𝑒𝑒𝑑 𝑜𝑓 𝐷𝑟𝑖𝑣𝑖𝑛𝑔 𝑔𝑒𝑎𝑟 𝑁1
𝑆𝑝𝑒𝑒𝑑 𝑜𝑓 𝐷𝑟𝑖𝑣𝑒𝑛 𝐺𝑒𝑎𝑟 (N2)
=
𝑇𝑒𝑒𝑡 𝑕 𝑜𝑓𝐷𝑟𝑖𝑣𝑒𝑛 𝑔𝑒𝑎𝑟 𝑇2
𝑇𝑒𝑒𝑡 𝑕 𝑜𝑓 𝐷𝑟𝑖𝑣𝑖𝑛𝑔 𝑔𝑒𝑎𝑟 (T1)
N2 =
N1 x T1
T2
= (990 x 26)/41 = 627.81 rpm
Ratio in 2nd
Stage (Helical Stage)
Input Speed = N1 = 627.81 rpm
Output Speed = N2 =?
Teeth of Input gear = T1 = 19
Teeth of output gear = T2 = 71
𝑆𝑝𝑒𝑒𝑑 𝑜𝑓 𝐷𝑟𝑖𝑣𝑖𝑛𝑔 𝑔𝑒𝑎𝑟 𝑁1
𝑆𝑝𝑒𝑒𝑑 𝑜𝑓 𝐷𝑟𝑖𝑣𝑒𝑛 𝐺𝑒𝑎𝑟 (N2)
=
𝑇𝑒𝑒𝑡 𝑕 𝑜𝑓𝐷𝑟𝑖𝑣𝑒𝑛 𝑔𝑒𝑎𝑟 𝑇2
𝑇𝑒𝑒𝑡 𝑕 𝑜𝑓 𝐷𝑟𝑖𝑣𝑖𝑛𝑔 𝑔𝑒𝑎𝑟 (T1)
N2 =
N1 x T1
T2
= (627.81 x 19)/71 = 168.27 rpm
Ratio in 3rd
Stage (Planetary Stage)
Input Speed = Ns = 168.27 rpm
Output Speed = Nc =?
Teeth of Sun gear = Ts = 20
Teeth of Ring gear = Tr = 92
𝐼𝑛𝑝𝑢𝑡 𝑆𝑝𝑒𝑒𝑑 𝑁𝑠
𝑂𝑢𝑡𝑝𝑢𝑡 𝑆𝑝𝑒𝑒𝑑 (Nc)
=
𝑇𝑒𝑒𝑡 𝑕 𝑜𝑓 𝑆𝑢𝑛 𝑔𝑒𝑎𝑟 𝑇𝑠 + 𝑇𝑒𝑒𝑡 𝑕 𝑜𝑓 𝑅𝑖𝑛𝑔 𝐺𝑒𝑎𝑟 (𝑇𝑟)
𝑇𝑒𝑒𝑡 𝑕 𝑜𝑓 𝑆𝑢𝑛 𝑔𝑒𝑎𝑟 (Ts)
Nc =
Ns x Ts
Ts+ Tr
= (168.27 x 20)/(20 + 92) = 30.0 rpm
Therefore, the rotational speed of VRM grinding table is 30rpm
3 Stage Gearbox for VRM

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Vertical Roller Mill Gearbox Reduction Ratio Calculations

  • 1. GEAR RATIO CALCULATIONS OF VERTICAL ROLLER MILL (LINE-2) Syed Fahad Ahmed SMT - Mechanical Ratio in 1st Stage (Bevel Stage) Input Speed = N1 = 990 rpm Output Speed = N2 =? Teeth of Input pinion = T1 = 26 Teeth of output gear = T2 = 41 𝑆𝑝𝑒𝑒𝑑 𝑜𝑓 𝐷𝑟𝑖𝑣𝑖𝑛𝑔 𝑔𝑒𝑎𝑟 𝑁1 𝑆𝑝𝑒𝑒𝑑 𝑜𝑓 𝐷𝑟𝑖𝑣𝑒𝑛 𝐺𝑒𝑎𝑟 (N2) = 𝑇𝑒𝑒𝑡 𝑕 𝑜𝑓𝐷𝑟𝑖𝑣𝑒𝑛 𝑔𝑒𝑎𝑟 𝑇2 𝑇𝑒𝑒𝑡 𝑕 𝑜𝑓 𝐷𝑟𝑖𝑣𝑖𝑛𝑔 𝑔𝑒𝑎𝑟 (T1) N2 = N1 x T1 T2 = (990 x 26)/41 = 627.81 rpm Ratio in 2nd Stage (Helical Stage) Input Speed = N1 = 627.81 rpm Output Speed = N2 =? Teeth of Input gear = T1 = 19 Teeth of output gear = T2 = 71 𝑆𝑝𝑒𝑒𝑑 𝑜𝑓 𝐷𝑟𝑖𝑣𝑖𝑛𝑔 𝑔𝑒𝑎𝑟 𝑁1 𝑆𝑝𝑒𝑒𝑑 𝑜𝑓 𝐷𝑟𝑖𝑣𝑒𝑛 𝐺𝑒𝑎𝑟 (N2) = 𝑇𝑒𝑒𝑡 𝑕 𝑜𝑓𝐷𝑟𝑖𝑣𝑒𝑛 𝑔𝑒𝑎𝑟 𝑇2 𝑇𝑒𝑒𝑡 𝑕 𝑜𝑓 𝐷𝑟𝑖𝑣𝑖𝑛𝑔 𝑔𝑒𝑎𝑟 (T1) N2 = N1 x T1 T2 = (627.81 x 19)/71 = 168.27 rpm Ratio in 3rd Stage (Planetary Stage) Input Speed = Ns = 168.27 rpm Output Speed = Nc =? Teeth of Sun gear = Ts = 20 Teeth of Ring gear = Tr = 92 𝐼𝑛𝑝𝑢𝑡 𝑆𝑝𝑒𝑒𝑑 𝑁𝑠 𝑂𝑢𝑡𝑝𝑢𝑡 𝑆𝑝𝑒𝑒𝑑 (Nc) = 𝑇𝑒𝑒𝑡 𝑕 𝑜𝑓 𝑆𝑢𝑛 𝑔𝑒𝑎𝑟 𝑇𝑠 + 𝑇𝑒𝑒𝑡 𝑕 𝑜𝑓 𝑅𝑖𝑛𝑔 𝐺𝑒𝑎𝑟 (𝑇𝑟) 𝑇𝑒𝑒𝑡 𝑕 𝑜𝑓 𝑆𝑢𝑛 𝑔𝑒𝑎𝑟 (Ts) Nc = Ns x Ts Ts+ Tr = (168.27 x 20)/(20 + 92) = 30.0 rpm Therefore, the rotational speed of VRM grinding table is 30rpm 3 Stage Gearbox for VRM