论文标题
摆，滴和杆：一个物理类比
Pendulums, Drops and Rods: a physical analogy
论文作者
论文摘要
相同的非二维方程式描述了液体弯面条，弯曲杆（也称为弹性杆）和简单的摆。摆的振荡状态对应于屈曲杆和吊坠滴，高速度状态对应于球形滴，水坑和多个杆环。我们以教学方式研究了这个类比，并讨论了如何，尽管有一个共同的管理方程式，但这三个系统并不完全等效。我们还考虑了含有液体的不可延迟，柔性膜的圆柱变形，在某种意义上说，在某种意义上说，在弯月面和杆构象之间插值。
A liquid meniscus, a bending rod (also called elastica) and a simple pendulum are all described by the same non-dimensional equation. The oscillatory regime of the pendulum corresponds to buckling rods and pendant drops, and the high-velocity regime corresponds to spherical drops, puddles and multiple rod loopings. We study this analogy in a didactic way and discuss how, despite this common governing equation, the three systems are not completely equivalent. We also consider the cylindrical deformations of an inextensible, flexible membrane containing a liquid, which in some sense interpolates between the meniscus and rod conformations.
