Belt as a spring

Start a long belt with a linear ramp or an S-curve and watch the tension overshoot. Find where the S-curve starts to help.

Try it: starting a belt that stretches

Ramp time t_a8.0 s

Belt natural period T_n2.0 s

About 4 L / c: a 400 m fabric belt with a 1 000 m/s wave is near 2 s; an overland belt can reach 10 s.

The ramp outlasts the belt: the S-curve gives the lower peak.

The design rule (fig. 5.3b): peak force against ramp time, for this belt. The cursor marks your ramp.

T_n ≈ 4 L / c ; S-curve: a_peak = 1.5 v / t_a