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Modal Testing Rotor Frequency Response Function (FRF) Calculator

Easily calculate and compute modal testing rotor frequency response function (frf) calculator with accurate equations, live formulas, and expert guidance.

Calculated Result
0.79 μm/N

Dynamic Accelerance / Compliance FRF Magnitude

Dynamic Accelerance / Compliance FRF Magnitude

0.79 μm/N

Undamped Natural Frequency Hz

100.7

Frf Phase Angle Degrees

-79.4

Dynamic Compliance State

PEAK RESONANT ZONE

0.79 — μm/N

Calculation Breakdown

  1. Applied FormulaModels impact hammer and shaker modal testing compliance transfer functions (Bode and Nyquist circle plots) to extract natural frequencies and damping ratios.|H(\omega)| = \frac{1}{\sqrt{(k - m\omega^2)^2 + (c\omega)^2}}, \quad \phi(\omega) = -\arctan\left( \frac{c\omega}{k - m\omega^2} \right)

Modal Testing Rotor FRF Metric Output

Interactive visualization based on your current inputs

Calculated Value
0.00.30.50.81.0Dynamic Accelerance / Compliance FRF Magnitude

What Is the Modal Testing Rotor Frequency Response Function (FRF) Calculator?

This tool computes modal testing rotor frequency response function (frf) calculator with high precision arithmetic.

How Does the Modal Testing Rotor Frequency Response Function (FRF) Calculator Work?

Models impact hammer and shaker modal testing compliance transfer functions (Bode and Nyquist circle plots) to extract natural frequencies and damping ratios.

Modal Testing Rotor Frequency Response Function (FRF) Calculator Formula & Variables

The core mathematical equation utilized by this calculator is expressed as:

∣H(ω)∣=1(k−mω2)2+(cω)2,ϕ(ω)=−arctan⁡(cωk−mω2)|H(\omega)| = \frac{1}{\sqrt{(k - m\omega^2)^2 + (c\omega)^2}}, \quad \phi(\omega) = -\arctan\left( \frac{c\omega}{k - m\omega^2} \right)

Models impact hammer and shaker modal testing compliance transfer functions (Bode and Nyquist circle plots) to extract natural frequencies and damping ratios.

How to Use the Modal Testing Rotor Frequency Response Function (FRF) Calculator

  1. Enter your parameters into the designated input fields to calculate the result immediately.

Step-by-Step Example Calculation

Modal Testing Rotor Frequency Response Function (FRF) Calculator Example

Input Values:

modalMassKg:45
modalStiffnessMNPerM:18
modalDampingRatioZeta:0.035
excitationFrequencyHz:100
Worked Steps: Sample evaluation based on standard reference conditions.

Understanding Your Result

The calculated primary figure indicates the optimal or required μm/N.

Factors That Affect the Result

  • Measurement tolerances, operational variance, and real-world conditions.

When Should You Use This Calculator?

  • Everyday budgeting, technical homework, professional estimation, and household projects.

Assumptions & Limitations

  • Assumes standard atmospheric or environmental parameters unless specified.

Frequently Asked Questions

Calculation Accuracy & Reference Note

Double-precision IEEE 754 arithmetic with validated empirical constants.

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