Free Engineering Tool — #012
Blade Correction Calculator
Decompose a correction mass at any angle into two masses at adjacent fixed blade or bolt positions. For fans, impellers, and turbines with evenly spaced positions.
Results
Fixed-Position Decomposition
When correction weights can only be placed at fixed angular positions (blades, bolts), the required correction at angle θ is decomposed into two adjacent positions θ_a and θ_b using moment balance:
Position Layout
Positions are evenly spaced at 360° / N intervals, numbered 1 to N starting from 0°:
| N Positions | Spacing | Max Error |
|---|---|---|
| 4 | 90° | 45° |
| 6 | 60° | 30° |
| 8 | 45° | 22.5° |
| 12 | 30° | 15° |
| 20 | 18° | 9° |
ℹ️ Note: More positions means smaller angular spacing and better approximation. With 12+ positions, the correction is very close to continuous placement.
Practical Example
Given: 6 blades (60° spacing), correction = 15g at 40°
Adjacent positions: Blade 1 at 0°, Blade 2 at 60°
m_a = 15 × sin(60° − 40°) / sin(60° − 0°) = 15 × sin(20°) / sin(60°) = 15 × 0.342 / 0.866 = 5.92 g at 0°
m_b = 15 × sin(40° − 0°) / sin(60° − 0°) = 15 × sin(40°) / sin(60°) = 15 × 0.643 / 0.866 = 11.13 g at 60°
⚠️ Note: The sum of m_a + m_b will generally be slightly more than the original correction mass. This is normal — the excess compensates for the angular offset. The vector sum equals the original correction exactly.
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