Calculate damping ratio response metrics such as overshoot, settling time, and damped natural frequency.
Settling time
1.09 s
2.0% final-value band
Overshoot
20.53 %
underdamped
Damped natural frequency
7.14 rad/s
oscillation rate when underdamped
The curve shows overshoot, damping decay, and the selected settling band.
underdamped, Ts = 1.09 s
Damping regime
underdamped
damping ratio 0.450
First peak
0.440 s
20.53% overshoot
Decay envelope
3.60 1/s
time constant 0.278 s
This tool is open source and the underlying logic is fully transparent. You can inspect the code, understand the calculations, and contribute improvements. If you want to use the tool in your own website, course page, or learning platform, you can also embed it directly and start from a ready-made iframe setup for this exact tool.
Open source: review the implementation and see how the results are produced.
Embeddable: preview this tool, copy the iframe, and use it in your own site or LMS.
Calculate damping ratio response metrics such as overshoot, settling time, and damped natural frequency.
Settling time
1.09 s
2.0% final-value band
Overshoot
20.53 %
underdamped
Damped natural frequency
7.14 rad/s
oscillation rate when underdamped
The curve shows overshoot, damping decay, and the selected settling band.
underdamped, Ts = 1.09 s
Damping regime
underdamped
damping ratio 0.450
First peak
0.440 s
20.53% overshoot
Decay envelope
3.60 1/s
time constant 0.278 s
This tool is open source and the underlying logic is fully transparent. You can inspect the code, understand the calculations, and contribute improvements. If you want to use the tool in your own website, course page, or learning platform, you can also embed it directly and start from a ready-made iframe setup for this exact tool.
Open source: review the implementation and see how the results are produced.
Embeddable: preview this tool, copy the iframe, and use it in your own site or LMS.