#tuning

Vehicle-suspension maths as an API, computed locally and deterministically — the spring and frequency numbers a racer, tuner or chassis engineer sets a car up with. The wheel-rate endpoint converts a spring rate to the rate the wheel actually feels: wheel rate = spring rate × motion ratio², where the motion ratio is the spring's travel per unit of wheel travel — a 200 lb/in spring at a 0.7 motion ratio gives a 98 lb/in wheel rate, because the spring's leverage softens it. The frequency endpoint gives the ride (natural) frequency at a corner, f = (1/2π)·√(wheel rate × g ÷ corner sprung weight), the number that really sets the ride: luxury cars run about 0.5–1.2 Hz, sporty street 1.2–1.7, race cars 2 Hz and up. The spring-rate endpoint inverts it — the spring rate needed to hit a target frequency for a corner weight and motion ratio — so you can pick the frequency for the car's job and get the spring straight out. Everything is computed locally and deterministically, so it is instant and private. Ideal for motorsport and tuning apps, chassis-setup and corner-balancing tools, suspension-design calculators, and engineering study aids. Pure local computation — no key, no third-party service, instant. Live, nothing stored. 3 compute endpoints. Estimates — real ride also depends on damping and tyres.

api.oanor.com/suspension-api

PID-controller-tuning maths as an API, computed locally and deterministically. The ziegler-nichols endpoint computes controller gains with the closed-loop (ultimate-gain) method: from the ultimate gain Ku at which the loop sustains oscillation and its period Tu it returns the proportional, integral and derivative gains for a P, PI, PD or PID controller using the classic table (PID: Kp = 0.6·Ku, Ti = 0.5·Tu, Td = 0.125·Tu), in both the standard (Ti, Td) and parallel (Ki, Kd) parameters. The reaction-curve endpoint computes gains with the open-loop method from a step-response process model — the process gain K, the dead time L and the time constant T — using the Ziegler-Nichols reaction-curve table (PID: Kp = 1.2·T/(K·L), Ti = 2L, Td = 0.5L). The convert endpoint translates between the parallel form (Kp, Ki, Kd) and the standard form (Kp, Ti, Td) using Ki = Kp/Ti and Kd = Kp·Td. Everything is computed locally and deterministically, so it is instant and private. Ideal for industrial-automation, robotics, process-control, motor-control and IoT app developers, controller-tuning and loop-design tools, and control-systems education. Pure local computation — no key, no third-party service, instant. Live, nothing stored. 3 endpoints. This is PID controller tuning; for op-amp circuits use an op-amp API and for resonance and reactance a resonance API.

api.oanor.com/pid-api