Least-action principle in gaitY. F. Fan1, M. Loan2, Y. B. Fan3, Z. Y. Li4 and D. L. Luo1
1 Center for Scientific Research, Guangzhou Institute of Physical Education - Guangzhou 510500, China
2 International School, Jinan University - Guangzhou 510632, China
3 Bioengineering Department, Beijing University of Aeronautics and Astronautics - Beijing 100191, China
4 College of Foreign Languages, Jinan University - Guangzhou 510632, China
received 8 July 2009; accepted in final form 24 August 2009; published September 2009
published online 22 September 2009
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.
87.85.G - Biomechanics.
87.85.gj - Movement and locomotion.
87.55.de - Optimization.
© EPLA 2009