Jerk-percent timing screen
S-curve profile
Inputs
Declared zero-start/zero-stop point-to-point travel distance.
User-entered intended top speed used by the equivalent trapezoidal timing screen.
User-entered average acceleration; not a controller tuning setting.
Declared fraction of acceleration segment spent ramping, from 0 through 100 percent.
Results
Profile peak speed
100
Acceleration segment time
0.2
Constant-speed time
1.8
Equivalent point-to-point time
2.2
Jerk-percent peak acceleration
666.67
mm/s²Per-ramp jerk time
0.05
tacc = v/aavg; vpeak = min(vmax, √(d aavg)); ttotal = 2tacc + tcruise; apeak = aavg/(1 − 0.005J%)
A first-pass number, not a code check, certification, or approval. Read the method and its limits below. What this is and is not.
Nearby: Axial response · Beam deflection & reactions · Elastic stability · Solid-shaft torsion
Method
Formula, when it applies, and when it does not
Calculate equivalent point-to-point timing and peak acceleration for a bounded symmetric S-curve using average acceleration and jerk percentage.
tacc = v/aavg; vpeak = min(vmax, √(d aavg)); ttotal = 2tacc + tcruise; apeak = aavg/(1 − 0.005J%)
When
- Zero start and stop
- Symmetric accel/decel
- Equivalent trapezoidal timing
- Declared jerk percentage
Don’t
- This symmetric zero-start/zero-stop S-curve screen preserves equivalent trapezoidal timing using user-entered average acceleration and jerk percentage. It does not generate controller commands, model short-move sampling, validate axis limits or tuning, predict vibration, overshoot, mechanical load, safety, or motion-system suitability.