想起他蕉都興奮
2021-6-29 02:42:36
A riderless bicycle can automatically steer itself so as to recover from falls. The common view is that this self-steering is caused by gyroscopic precession of the front wheel, or by the wheel contact trailing like a caster behind the steer axis. We show that neither effect is necessary for self-stability. Using linearized stability calculations as a guide, we built a bicycle with extra counter-rotating wheels (canceling the wheel spin angular momentum) and with its front-wheel ground-contact forward of the steer axis (making the trailing distance negative). When laterally disturbed from rolling straight, this bicycle automatically recovers to upright travel. Our results show that various design variables, like the front mass location and the steer axis tilt, contribute to stability in complex interacting ways.
佢話common view係
gyro+caster令單車可以self steer
而佢就整咗個新設計
都做到self steer
所以結論係
“neither gyro or caster is necessary for…”
Although we showed that neither front-wheel spin angular momentum nor trail are necessary for self-stability, we do not deny that both are often im- portant contributors. But other parameters are also important, especially the front-assembly mass dis- tribution, and all the parameters interact in complex ways.
JFreeman
2021-6-29 04:46:33
Quantum mechanics 入面既particles係representations of (c) spin groups,govern物理系統演化既schoedinger equation (或者path integral) 可以用一個functional叫Action表示,有時候個Action要invariant under transformation of spin groups (elements of the unitary representations)