Examples
Examples
Try the starting example
- Undamped natural frequency (rad/s)
- 2
- Damping ratio
- 0.4
- Static gain
- 1
- Observation times (seconds)
- 0,0.5,1,2,4
- Second-order step response (JSON)
- [0,0.359915049252,0.927084383856,1.21888344902,0.96425818754]
- Analytic overshoot (%)
- 25.382672
- Damped natural frequency (rad/s or none)
- 1.83303
Try another scenario
- Undamped natural frequency (rad/s)
- 3
- Damping ratio
- 0.4
- Static gain
- 1
- Observation times (seconds)
- [0, 0.5, 1, 2, 4]
- Second-order step response (JSON)
- [0,0.658173677498,1.22811693993,0.963728792491,1.00357028581]
- Analytic overshoot (%)
- 25.382672
- Damped natural frequency (rad/s or none)
- 2.749545
Calculation method
Calculation method
Second-order step response (JSON)
Zero-state unit-step response of Kωn²/(s²+2ζωns+ωn²), with analytic underdamped, critical and overdamped branches.
Analytic overshoot (%)
Zero-state unit-step response of Kωn²/(s²+2ζωns+ωn²), with analytic underdamped, critical and overdamped branches.
Damped natural frequency (rad/s or none)
Zero-state unit-step response of Kωn²/(s²+2ζωns+ωn²), with analytic underdamped, critical and overdamped branches.
Symbols and units
- a
- Undamped natural frequency (rad/s)
- b
- Damping ratio
- c
- Static gain
- d
- Observation times (seconds)
Use the units shown. A list keeps the order in which you enter its values. The symbol ^ means “raised to the power of”.
Assumptions & limits
Assumptions & limits
- User-supplied measurements and assumptions; Zero-state unit-step response of Kωn²/(s²+2ζωns+ωn²), with analytic underdamped, critical and overdamped branches. Supported limits: Finite numeric values bounded to 1e9 magnitude; lists and tables contain 1–100 records unless a stricter bound is stated. Inputs use the units shown. Lists explicitly paired by a method must have matching lengths; independent polynomial coefficient vectors may differ. Respect stated physical, interpolation, policy and computational domain limits.
Are these inputs private?
These calculations run in your browser. A shared link contains the values you choose to share. Only questions submitted to the separate AI finder are sent to OpenAI.
Further reading
Background reading; this does not imply endorsement or independent review of SumFizz.