Rotating Engineering

Damped Critical Speed of Multi-Rotor Train via Modal Eigenvalue Projection calculator

Damped Critical Speed of Multi-Rotor Train via Modal Eigenvalue Projection engineering calculator.

Quick Answer

Calculate Damped Critical Speed of Multi-Rotor Train via Modal Eigenvalue Projection

Calculator

Damped critical speed (rad⁄s)
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Result Interpretation

Damped Critical Speed of Multi-Rotor Train via Modal Eigenvalue Projection calculator computes Damped critical speed in rad/s using the defined engineering formula and the input values provided. Damped critical speed is expressed in rad/s. No universal acceptance threshold is defined by this calculator.

Worked Example

Verified calculation

Given:

  • Real part of dominant eigenvalue = -8.2
  • Imaginary part of dominant eigenvalue = 298.7

Expected Result:

  • Damped critical speed = 298.81326021257

Engineering Interpretation:

Under the given input conditions, the calculated result is: Damped critical speed = 298.81326021257 rad/s.

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

damped critical speed = sqrt(pow(real part of dominant eigenvalue, 2) + pow(imaginary part of dominant eigenvalue, 2))

Formula family: formula_rotating_campbell_diagram_generator_critical_speed_map_for_multi_rotor_trains

Variables

SymbolLabelRoleDescription
real_part Real part of dominant eigenvalue INPUT Real part of dominant eigenvalue
imag_part Imaginary part of dominant eigenvalue INPUT Imaginary part of dominant eigenvalue
damped_critical_speed Damped critical speed OUTPUT Damped critical speed

Calculation Steps

  1. Enter the real part of dominant eigenvalue in rad/s.
  2. Enter the imaginary part of dominant eigenvalue in rad/s.
  3. Step 1: Compute damped critical speed.
  4. Read the damped critical speed (rad/s) from the results.

Engineering Summary

Calculate Damped Critical Speed of Multi-Rotor Train via Modal Eigenvalue Projection

Frequently Asked Questions

What does this calculator calculate?

The Damped Critical Speed of Multi-Rotor Train via Modal Eigenvalue Projection calculator estimates Damped critical speed based on the input parameters you provide

Why is real part of dominant eigenvalue important in this calculation?

real part of dominant eigenvalue is used directly in the calculation of damped critical speed. Its effect on the result depends on the complete formula and the values of the other inputs.. When you enter real part of dominant eigenvalue in rad/s, the calculator uses it in the engineering formula to compute the output

How should I interpret the result damped critical speed?

The calculator outputs damped critical speed in rad/s. 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: Real part of dominant eigenvalue (rad/s), Imaginary part of dominant eigenvalue (rad/s). 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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