Critical slowing down in purely elastic ‘snap-through’ instabilities

By Michael Gomez, Derek E. Moulton, Dominic Vella. Nature Physics, 2016

172 citations recorded by the source corpus.

Critical phenomena are well understood in a wide range of physical systems. The dynamics of snap-through instabilities, a widespread phenomenon in their own right, are now shown to display critical scaling properties. Many elastic structures have two possible equilibrium states1: from umbrellas that become inverted in a sudden gust of wind, to nanoelectromechanical switches2,3, origami patterns4,5 and the hopper popper, which jumps after being turned inside-out6. These systems typically transition from one state to the other via a rapid ‘snap-through’. Snap-through allows plants to gradually store elastic energy, before releasing it suddenly to generate rapid motions7,8, as in the Venus flytrap9. Similarly, the beak of the hummingbird snaps through to catch insects mid-flight10, while technological applications are increasingly exploiting snap-through instabilities11,12,13. In all of these scenarios, it is the ability to repeatedly generate fast motions that gives snap-through its utility. However, estimates of the speed of snap-through suggest that it should occur more quickly than is usually observed. Here, we study the dynamics of snap-through in detail, showing that, even without dissipation, the dynamics slow down close to the snap-through transition. This is reminiscent of the slowing down observed in critical phenomena, and provides a handheld demonstration of such phenomena, as well as a new tool for tuning dynamic responses in applications of elastic bistability.

Subfields: Mechanical Engineering, Plant Science

View Paper: https://www.semanticscholar.org/paper/7c19f481f38a27b0d3013ae5241914208963d2c2