Latch, Spring and Release: The Efficiency of Power-Amplified Jumping

Abstract: Many small animals, particularly insects, use power-amplification to generate rapid motions such as jumping, which would otherwise not be possible with the standard power density of muscle. A common framework for understanding this power amplification is Latch-Mediated, Spring Actuated (or LaMSA) jumping, in which a spring is slowly compressed, latched in its compressed state and the latch released to allow jumping. Motivated by the jumps of certain insect larvae, we consider a variant of this in which the latching occurs externally via adhesion to a substrate that is quickly released for jumping. We show that the rate at which this adhesion is lost is crucial in determining the efficiency of jumping and, indeed, whether jumping occurs at all. As well as showing how release rate should be chosen to facilitate optimal jumping, our analysis suggests that it is possible to control jumps even once the latch has been set.