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arXiv 2609.02938physics.class-phphysics.pop-ph

施维特斯纪念问题:汽车驶过三角形减速带

The Schwitters Memorial Problem: A Car Speeds Across a Triangular Bump

William H. Press

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中文总结 AI 辅助

本文以汽车通过三角形减速带的问题为研究对象,通过建立车轮几何关系与耦合阻尼谐振子模型,推导得出高速通过减速带颠簸更小的施维特斯信条。

中文摘要 AI 辅助

大多数驾驶员遇到减速带时会减速,有时几乎停下车,仿佛每个减速带都是停车让行标志。已故的罗伊·施维特斯与笔者持有共同观点(此处称为施维特斯信条):应以至少60或70公里/小时(35至45英里/小时)的速度通过,并非因为我们是违法者,而是基于非正式实验发现,高速通过比低速通过颠簸更小。本文结合车轮与路面的几何关系,以及代表汽车悬挂系统和驾驶员软垫座椅的两个耦合阻尼谐振子,对该问题进行分析,最终得出施维特斯信条,但推导方式与预期不同。

英文摘要

Most drivers slow down for speed bumps, sometimes to almost a stop, as if each speed bump were a stop or yield sign. The late Roy Schwitters and I shared the view (here called the Schwitters Doctrine) that one should take the bumps at a speed of at least 60 or 70 kph (35 to 45 mph), not because we were scofflaws, but because we found, based on informal experiments, that the traverse was less jarring at high speeds than at low. Here, the problem is worked in terms of the geometry of the wheels on the road and two coupled, damped harmonic oscillators representing the suspension of the car and the driver's cushioned seat. The Schwitters Doctrine is recovered, but not in the way that one expects.

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