Department of Mechanical Engineering, Delft University of Technology, Delft 2628 CD, Netherlands.
Science. 2011 Apr 15;332(6027):339-42. doi: 10.1126/science.1201959.
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.
无舵自行车可以自动转向以防止摔倒。普遍的观点是,这种自转向是由前轮的陀螺进动引起的,或者是由车轮接触在转向轴后面像脚轮一样拖曳引起的。我们表明,这两种效应都不是自稳定所必需的。使用线性化稳定性计算作为指导,我们制造了一辆带有额外反向旋转轮子的自行车(抵消车轮自旋角动量),并且前轮的地面接触点位于转向轴前方(使拖曳距离为负)。当从直线滚动中受到侧向干扰时,自行车会自动恢复到垂直行驶状态。我们的结果表明,各种设计变量,如前轮质量位置和转向轴倾斜度,以复杂的相互作用方式有助于稳定性。