Free Engineering Tool
Paper Machine Roll Balance Calculator
Calculate operating RPM from surface speed, permissible residual unbalance per ISO 21940, centrifugal force from unbalance, and correction mass for paper machine rolls.
Results
RPM from Surface Speed
Paper machine speeds are specified as web surface speed in m/min. The roll RPM depends on the roll diameter.
Typical Balance Grades for Paper Machine Rolls
| Roll Type | Recommended Grade | Notes |
|---|---|---|
| Calender rolls | G1.0 – G2.5 | Highest precision required |
| Press rolls (solid/vented) | G2.5 | Standard for most press sections |
| Suction rolls | G2.5 – G6.3 | Shell perforations complicate balancing |
| Dryer cylinders | G2.5 – G6.3 | Condensate shifting changes balance |
| Wire/fabric guide rolls | G2.5 | Small diameter, moderate speed |
| Felt rolls | G6.3 – G16 | Low speed, less critical |
| Reel spool | G2.5 | High speed, affects winding quality |
Paper industry note: Rolls operating above 1000 m/min benefit from G2.5 or better. Dryer cylinders with condensate management (siphons, turbulence bars) may show apparent unbalance changes during operation due to condensate redistribution.
Centrifugal Force from Unbalance
The centrifugal force generated by unbalance at the tolerance limit is:
Where U_per is in g·mm and ω in rad/s. This force rotates at shaft speed and is transmitted to the bearings and support structure.
Correction Mass Calculation
The correction mass to be added or removed at a given radius:
Where r is the correction radius in mm (typically at the roll OD or at a specific correction plane location).
Special Considerations for Paper Rolls
- Suction rolls: Shell perforations create periodic mass variations. Balance should be checked after re-drilling or shell replacement.
- Covered rolls (rubber/polyurethane): Cover thickness variations affect balance. Re-balance after re-covering.
- Dryer cylinders: Condensate redistribution during startup causes transient unbalance. Allow stabilization before measuring.
- Variable crown rolls: Hydraulic crown pressure changes can affect balance state.
- Thermal crown: Uneven heating can cause temporary bowing — check that thermal steady state is reached before balancing.
Vibration Limits for Paper Machine Rolls
Paper machines require very low vibration levels for paper quality. Typical bearing housing velocity limits:
- Calender rolls: < 1.0 mm/s RMS (affects paper surface quality)
- Press rolls: < 2.0 mm/s RMS
- Dryer cylinders: < 2.5 mm/s RMS
- Wire/felt guide rolls: < 2.0 mm/s RMS
- Reel spool: < 1.5 mm/s RMS (affects winding quality)
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