Quick Answer
Calculate Single-Plane Rigid Rotor Unbalance Vibration Amplitude
Calculator
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Find Engineering Solutions →Result Interpretation
Single-Plane Rigid Rotor Unbalance Vibration Amplitude calculator computes Vibration Amplitude in m using the defined engineering formula and the input values provided. Vibration Amplitude is expressed in m. No universal acceptance threshold is defined by this calculator.
Worked Example
Verified calculation
Given:
- Unbalance Mass = 0.002
- Eccentricity = 5.0E-5
- Operating Speed (rad/s) = 314.159
- Bearing Stiffness = 1000000
- Equivalent Damping Coefficient = 600
Expected Result:
- Vibration Amplitude = 4.937E-6
Engineering Interpretation:
Under the given input conditions, the calculated result is: Vibration Amplitude = 4.937E-6 m.
The actual numerical result is computed by the Runtime engine using the persisted tool definition. The values shown here come from automatically validated test cases.
Formula / Method
vibration amplitude = (unbalance mass * eccentricity * pow(rad/s, 2)) / sqrt(pow(bearing stiffness, 2) + pow(equivalent damping coefficient * rad/s, 2))Formula family: formula_rotating_rotor_unbalance_response_amplitude_calculator_single_plane_rigid_rotor
Variables
| Symbol | Label | Role | Description |
|---|---|---|---|
| unbalance_mass | Unbalance Mass | INPUT | Unbalance Mass |
| eccentricity | Eccentricity | INPUT | Eccentricity |
| operating_speed_rad_per_s | Operating Speed (rad/s) | INPUT | Operating Speed (rad/s) |
| stiffness | Bearing Stiffness | INPUT | Bearing Stiffness |
| damping_coefficient | Equivalent Damping Coefficient | INPUT | Equivalent Damping Coefficient |
| vibration_amplitude | Vibration Amplitude | OUTPUT | Vibration Amplitude |
Calculation Steps
- Enter the unbalance mass in kg.
- Enter the eccentricity in m.
- Enter the operating speed (rad/s) in rad/s.
- Enter the bearing stiffness in N/m.
- Enter the equivalent damping coefficient in N·s/m.
- Step 1: Compute vibration amplitude.
- Read the vibration amplitude (m) from the results.
Engineering Summary
Calculate Single-Plane Rigid Rotor Unbalance Vibration Amplitude
Frequently Asked Questions
What does this calculator calculate?
The Single-Plane Rigid Rotor Unbalance Vibration Amplitude calculator estimates Vibration Amplitude based on the input parameters you provide
Why is unbalance mass important in this calculation?
unbalance mass is directly proportional to vibration amplitude. When you enter unbalance mass in kg, the calculator uses it in the engineering formula to compute the output
How should I interpret the result vibration amplitude?
The calculator outputs vibration amplitude in m. The result is computed directly from the input values using the defined engineering formula
What units should I use for the inputs?
Enter each value in the units shown next to the input field: Unbalance Mass (kg), Eccentricity (m), Operating Speed (rad/s) (rad/s), Bearing Stiffness (N/m), Equivalent Damping Coefficient (N·s/m). Make sure all inputs use the specified units for consistent results
What assumptions does this calculator use?
This calculator uses automatically validated engineering formulas. Results are approximate and should be validated against site-specific conditions, applicable codes, and professional engineering judgment
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