Examples
Examples
Try the starting example
- Natural frequency (rad/s)
- 2
- Damping ratio
- 0.4
- Pole coordinates [real,imaginary] JSON
- [[-0.8,-1.83303027798],[-0.8,1.83303027798]]
Try another scenario
- Natural frequency (rad/s)
- 3
- Damping ratio
- 0.4
- Pole coordinates [real,imaginary] JSON
- [[-1.2,-2.74954541697],[-1.2,2.74954541697]]
Calculation method
Calculation method
Pole coordinates [real,imaginary] JSON
Roots of s²+2ζωns+ωn², sorted by real then imaginary part.
Symbols and units
- a
- Natural frequency (rad/s)
- b
- Damping ratio
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; Roots of s²+2ζωns+ωn², sorted by real then imaginary part. 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.