vawe playful
It is the house spring that overshoots most. Stiffness 220, damping 12 and mass 1 give a damping ratio of 0.405, so the spring is underdamped. It settles to within 0.1% in 1.04 s. It passes the end value by up to 24.9% at 0.232 s and crosses it 4 times.
Demo
Both boxes take 1.04 s. This is real time.
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 (1040 ms) and a linear() string that follows the spring.
transition: translate 1040ms linear(0, 0.008, 0.0307, 0.0664, 0.1132, 0.1692, 0.2328, 0.3021, 0.3755, 0.4514, 0.5284, 0.6052, 0.6806, 0.7536, 0.8232, 0.8887, 0.9495, 1.0051, 1.0551, 1.0993, 1.1376, 1.1699, 1.1964, 1.2172, 1.2325, 1.2427, 1.2481, 1.249, 1.246, 1.2394, 1.2297, 1.2173, 1.2028, 1.1865, 1.1689, 1.1504, 1.1314, 1.1122, 1.0931, 1.0745, 1.0565, 1.0394, 1.0234, 1.0086, 0.9951, 0.9831, 0.9725, 0.9633, 0.9557, 0.9495, 0.9447, 0.9412, 0.939, 0.938, 0.9381, 0.9391, 0.941, 0.9436, 0.9468, 0.9506, 0.9547, 0.9592, 0.9638, 0.9686, 0.9734, 0.9781, 0.9827, 0.9871, 0.9913, 0.9952, 0.9988, 1.0021, 1.005, 1.0075, 1.0097, 1.0115, 1.013, 1.0141, 1.0148, 1.0153, 1.0155, 1.0154, 1.0151, 1.0146, 1.0139, 1.013, 1.012, 1.011, 1.0099, 1.0087, 1.0075, 1.0063, 1.0051, 1.004, 1.0029, 1.0019, 1.0009, 1.0001, 0.9993, 0.9986, 0.998, 0.9974, 0.997, 0.9967, 0.9964, 0.9963, 0.9962, 0.9961, 0.9962, 0.9963, 0.9964, 0.9966, 0.9968, 0.9971, 0.9973, 0.9976, 0.9979, 0.9982, 0.9985, 0.9988, 1);el.animate({ translate: ['0 0', '240px 0'] }, { duration: 1040, easing: 'linear(0, 0.008, 0.0307, 0.0664, 0.1132, 0.1692, 0.2328, 0.3021, 0.3755, 0.4514, 0.5284, 0.6052, 0.6806, 0.7536, 0.8232, 0.8887, 0.9495, 1.0051, 1.0551, 1.0993, 1.1376, 1.1699, 1.1964, 1.2172, 1.2325, 1.2427, 1.2481, 1.249, 1.246, 1.2394, 1.2297, 1.2173, 1.2028, 1.1865, 1.1689, 1.1504, 1.1314, 1.1122, 1.0931, 1.0745, 1.0565, 1.0394, 1.0234, 1.0086, 0.9951, 0.9831, 0.9725, 0.9633, 0.9557, 0.9495, 0.9447, 0.9412, 0.939, 0.938, 0.9381, 0.9391, 0.941, 0.9436, 0.9468, 0.9506, 0.9547, 0.9592, 0.9638, 0.9686, 0.9734, 0.9781, 0.9827, 0.9871, 0.9913, 0.9952, 0.9988, 1.0021, 1.005, 1.0075, 1.0097, 1.0115, 1.013, 1.0141, 1.0148, 1.0153, 1.0155, 1.0154, 1.0151, 1.0146, 1.0139, 1.013, 1.012, 1.011, 1.0099, 1.0087, 1.0075, 1.0063, 1.0051, 1.004, 1.0029, 1.0019, 1.0009, 1.0001, 0.9993, 0.9986, 0.998, 0.9974, 0.997, 0.9967, 0.9964, 0.9963, 0.9962, 0.9961, 0.9962, 0.9963, 0.9964, 0.9966, 0.9968, 0.9971, 0.9973, 0.9976, 0.9979, 0.9982, 0.9985, 0.9988, 1)', fill: 'both' });import { SPRINGS, spring, springDuration, springLinear } from '../../core/motion/springs.js';
const { k, d } = SPRINGS.playful;
// 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: 1040 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
- 220k, with mass 1
- Damping
- 12d, with mass 1
- Damping ratio
- 0.405underdamped
- Settle time
- 1.04 swithin 0.1% of the end
- Overshoot
- 24.9%peak at 0.232 s
- Crosses the end
- 4times
- 50% of travel
- 0.084 s8% of the settle time
- 90% of travel
- 0.132 s13% of the settle time
- Natural frequency
- 14.83 rad/ssqrt(k)
- Ring period
- 0.463 sone swing of the overshoot
- Peak speed
- 9.23xtimes the average speed
- linear() points
- 121within 0.20% 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 springs | core/motion/springs.js |
| SPRINGS.playful = { k: 220, d: 12 } | SPRINGS.playful |
These numbers are used as they are.
Related springs
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.