Rotating Engineering

Single-Disk Rotor Unbalance Vibration Amplitude (Rigid Support, Damped SDO Forced Vibration) calculator

Single-Disk Rotor Unbalance Vibration Amplitude (Rigid Support, Damped SDO Forced Vibration) engineering calculator.

Runnable This tool can run, but independent engineering verification has not been established.

Quick Answer

Calculate Single-Disk Rotor Unbalance Vibration Amplitude (Rigid Support, Damped SDO Forced Vibration)

Calculator

Vibration Amplitude (m)
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Result Interpretation

Single-Disk Rotor Unbalance Vibration Amplitude (Rigid Support, Damped SDO Forced Vibration) 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
  • Unbalance Radius = 0.08
  • Operating Speed (Angular) = 200
  • Support Stiffness = 800000
  • Equivalent Viscous Damping Coefficient = 150
  • Total Rotating Mass = 4.5

Expected Result:

  • Vibration Amplitude = 1.0310517636975E-5

Engineering Interpretation:

Under the given input conditions, the calculated result is: Vibration Amplitude = 1.0310517636975E-5 m.

The actual numerical result is computed by the Runtime engine using the persisted tool definition. The values shown here come from deterministically validated test cases.

Formula / Method

vibration amplitude = (unbalance mass * unbalance radius * pow(Angular, 2)) / sqrt(pow(support stiffness - total rotating mass * pow(Angular, 2), 2) + pow(equivalent viscous damping coefficient * Angular, 2))

Formula family: formula_rotating_rotor_unbalance_response_amplitude_calculator_single_disk_rigid_support

Variables

SymbolLabelRoleDescription
unbalance_mass Unbalance Mass INPUT Unbalance Mass
unbalance_radius Unbalance Radius INPUT Unbalance Radius
operating_speed_rad_per_s Operating Speed (Angular) INPUT Operating Speed (Angular)
stiffness Support Stiffness INPUT Support Stiffness
damping_coefficient Equivalent Viscous Damping Coefficient INPUT Equivalent Viscous Damping Coefficient
mass_total Total Rotating Mass INPUT Total Rotating Mass
vibration_amplitude Vibration Amplitude OUTPUT Vibration Amplitude

Calculation Steps

  1. Enter the unbalance mass in kg.
  2. Enter the unbalance radius in m.
  3. Enter the operating speed (angular) in rad/s.
  4. Enter the support stiffness in N/m.
  5. Enter the equivalent viscous damping coefficient in N·s/m.
  6. Enter the total rotating mass in kg.
  7. Step 1: Compute vibration amplitude.
  8. Read the vibration amplitude (m) from the results.

Engineering Summary

Calculate Single-Disk Rotor Unbalance Vibration Amplitude (Rigid Support, Damped SDO Forced Vibration)

Frequently Asked Questions

What does this calculator calculate?

The Single-Disk Rotor Unbalance Vibration Amplitude (Rigid Support, Damped SDO Forced Vibration) 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), Unbalance Radius (m), Operating Speed (Angular) (rad/s), Support Stiffness (N/m), Equivalent Viscous Damping Coefficient (N·s/m), Total Rotating Mass (kg). 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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