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Springsvawe house springs

vawe snappy

indicator() gives this spring to the edge of a moving indicator that leads the move. Stiffness 400, damping 32 and mass 1 give a damping ratio of 0.8, so the spring is underdamped. It settles to within 0.1% in 0.425 s. It passes the end value by up to 1.5% at 0.262 s and crosses it 1 time.

Demo

Progress against time. The time axis runs 0 to 0.425 s, the settle time.0100.51progress50%90%
Dashed: a straight line. The dot and the line move with the box on the right.
vawe snappy
linear

Both boxes take 0.425 s. Playing at 0.5× speed.

Your system asks for reduced motion, so nothing plays. The chart shows the whole move.

Code

A spring has no fixed duration, so the CSS takes the settle time (425 ms) and a linear() string that follows the spring.

css linear()
transition: translate 425ms linear(0, 0.0053, 0.0201, 0.0428, 0.0719, 0.106, 0.1441, 0.1851, 0.2281, 0.2724, 0.3173, 0.3623, 0.4069, 0.4507, 0.4933, 0.5345, 0.5741, 0.6119, 0.6478, 0.6818, 0.7137, 0.7437, 0.7716, 0.7975, 0.8215, 0.8435, 0.8638, 0.8823, 0.8991, 0.9143, 0.9281, 0.9404, 0.9514, 0.9613, 0.9699, 0.9776, 0.9842, 0.99, 0.995, 0.9993, 1.0029, 1.0059, 1.0084, 1.0104, 1.012, 1.0132, 1.0141, 1.0147, 1.015, 1.0152, 1.0151, 1.0149, 1.0146, 1.0142, 1.0137, 1.0131, 1.0125, 1.0119, 1.0112, 1.0105, 1.0099, 1.0092, 1.0085, 1.0079, 1.0072, 1.0066, 1.006, 1.0055, 1.005, 1.0045, 1.004, 1.0036, 1.0032, 1.0028, 1.0025, 1.0021, 1.0019, 1.0016, 1.0014, 1.0011, 1);
web animations api
el.animate({ translate: ['0 0', '240px 0'] }, { duration: 425, easing: 'linear(0, 0.0053, 0.0201, 0.0428, 0.0719, 0.106, 0.1441, 0.1851, 0.2281, 0.2724, 0.3173, 0.3623, 0.4069, 0.4507, 0.4933, 0.5345, 0.5741, 0.6119, 0.6478, 0.6818, 0.7137, 0.7437, 0.7716, 0.7975, 0.8215, 0.8435, 0.8638, 0.8823, 0.8991, 0.9143, 0.9281, 0.9404, 0.9514, 0.9613, 0.9699, 0.9776, 0.9842, 0.99, 0.995, 0.9993, 1.0029, 1.0059, 1.0084, 1.0104, 1.012, 1.0132, 1.0141, 1.0147, 1.015, 1.0152, 1.0151, 1.0149, 1.0146, 1.0142, 1.0137, 1.0131, 1.0125, 1.0119, 1.0112, 1.0105, 1.0099, 1.0092, 1.0085, 1.0079, 1.0072, 1.0066, 1.006, 1.0055, 1.005, 1.0045, 1.004, 1.0036, 1.0032, 1.0028, 1.0025, 1.0021, 1.0019, 1.0016, 1.0014, 1.0011, 1)', fill: 'both' });
vawe
import { SPRINGS, spring, springDuration, springLinear } from '../../core/motion/springs.js';

const { k, d } = SPRINGS.snappy;

// per-frame code (window.seek, vawe.onFrame): t is seconds since the move starts
const x = 240 * spring(t, k, d);

// CSS and Web Animations: 425 ms, the linear() string above
el.animate(
  { translate: ['0 0', '240px 0'] },
  { duration: springDuration(k, d) * 1000, easing: springLinear(k, d), fill: 'both' },
);

Numbers

Stiffness
400k, with mass 1
Damping
32d, with mass 1
Damping ratio
0.8underdamped
Settle time
0.425 swithin 0.1% of the end
Overshoot
1.5%peak at 0.262 s
Crosses the end
1time
50% of travel
0.076 s18% of the settle time
90% of travel
0.15 s35% of the settle time
Natural frequency
20 rad/ssqrt(k)
Ring period
0.524 sone swing of the overshoot
Peak speed
3.61xtimes the average speed
linear() points
81within 0.12% of travel

Computed with spring() and springDuration() from core/motion/springs.js. The settle time is the last moment the spring is more than 0.1% away from the end value; a library stops its own spring by its own rest thresholds, so its clock can run shorter.

Source of the numbers

vawe house springscore/motion/springs.js
SPRINGS.snappy = { k: 400, d: 32 }SPRINGS.snappy

These numbers are used as they are.

The four closest curves in this set, by the average gap between the two springs over their first seconds. A gap of 0.01 is invisible; 0.1 is a different feel.

More springs