Dynamics & Vibrations
Rotor Balancing Simulator
Compute corrective mass and angular placement for single-plane rotor balancing. Analyze radial unbalance vector addition and the resulting dynamic forces generated under speed.
Method
Single Plane
Static vector
Mesh
Discrete Nodes
Polar resolved
Output
CSV
Export ready
Parameters
Unbalance Scenario
Spot 1 Unbalance
Spot 2 Unbalance
Correction Parameters
Simulated spinning test
Vector Balancing Math
X-Axis Component
U_x = m_1 r_1 \cos(\theta_1) + m_2 r_2 \cos(\theta_2)
Y-Axis Component
U_y = m_1 r_1 \sin(\theta_1) + m_2 r_2 \sin(\theta_2)
Total Net Unbalance
U = \sqrt{U_x^2 + U_y^2}
Required Corrective Mass
m_c = U / R_c
Dynamic Radial Force
F_c = U \cdot 10^{-6} \cdot \omega^2
At 1500 RPM, this unbalance creates a rotating centrifugal force of 13.3 N.
At 3000 RPM, the dynamic force quadruples to 53.1 N.
The correction angle is exactly opposite (180° offset) from the net unbalance vector.
Polar Vector Resolver
Net Unbalance
5377g·mm
Unbalance Angle
98.9°
Corrective Mass
10.75g
Corrective Angle
278.9°
Corrective Mass vs. Placement Radius
Balanced Offset Planes
| Correction Radius (mm) | Correction Mass (g) | Total Unbalance (g·mm) | Force @ 1500 RPM (N) | Force @ 3000 RPM (N) |
|---|---|---|---|---|
| 100 | 53.77 | 5377 | 13.3 | 53.1 |
| 200 | 26.88 | 5377 | 13.3 | 53.1 |
| 300 | 17.92 | 5377 | 13.3 | 53.1 |
| 400 | 13.44 | 5377 | 13.3 | 53.1 |
| 500 | 10.75 | 5377 | 13.3 | 53.1 |
| 600 | 8.96 | 5377 | 13.3 | 53.1 |
| 700 | 7.68 | 5377 | 13.3 | 53.1 |
| 800 | 6.72 | 5377 | 13.3 | 53.1 |
| 900 | 5.97 | 5377 | 13.3 | 53.1 |
| 1000 | 5.38 | 5377 | 13.3 | 53.1 |