Least Action Principle in Gait

TL;DR

This paper demonstrates that human gait follows a least action principle in vertical ground reaction force, providing a new framework for gait analysis and energy efficiency evaluation.

Contribution

The study reveals the existence of a least action principle in human gait and develops an energy consumption index based on this principle.

Findings

Gait vertical ground reaction force exhibits least action behavior.

An evaluation index for mechanical energy consumption was established.

Observations can improve gait assessment accuracy.

Abstract

We apply the laws of human gait vertical ground reaction force and discover the existence of the phenomenon of least action principle in gait. Using a capacitive mat transducer system, we obtain the variations of human gait vertical ground reaction force and establish a structure equation for the resultant of such a force. Defining the deviation of vertical force as an action function, we observe from our gait optimization analysis the least action principle at half of the stride time. We develop an evaluation index of mechanical energy consumption based upon the least action principle in gait. We conclude that these observations can be employed to enhance the accountability of gait evaluation.