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THE FEUTEX TOOLKIT

Damped Oscillator Forced Response

Find natural frequency, damping ratio and harmonic displacement amplitude.

Mechanical workspace● Runs in your browser
01 Your input
02 Your result
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Formulaωn=√(k/m); ζ=c/(2√km); X=F/√[(k−mω²)²+(cω)²].
Sources and model references

How to use this tool

  1. Enter every input in the labeled units; use measured or independently specified properties.
  2. Check the stated model assumptions before calculating.
  3. Interpret the output as a model estimate and verify it independently for the intended application.

Try this example

{
  "mass": 10,
  "stiffness": 1000,
  "damping": 20,
  "omega": 5,
  "force": 10
}

Accuracy and scope

Linear single degree of freedom, viscous damping, steady harmonic response; transient response excluded. Educational engineering estimate only; not structural or safety certification, equipment selection, or operating recommendations.

Is my data uploaded?

This tool runs locally in your browser. Input and output are not sent to a processing server. Copy or download your result before leaving the page.