Calling Math & Physics Runners: Take a Look at the SM Model!

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SUMMARY

The discussion focuses on the collaboration among individuals with a background in math, physics, and engineering to explore running biomechanics using the Spring Mass (SM) Model. This model conceptualizes a runner as a mass on spring-like legs, akin to pogo sticks, and has been validated through various research papers. Participants with knowledge of Newton’s and Euler’s equations, the Runge-Kutta method, and the Lagrangian formulation are encouraged to engage in this collaborative effort to gain insights into running performance.

PREREQUISITES
  • Understanding of Newton’s and Euler’s equations
  • Familiarity with the Runge-Kutta method
  • Knowledge of the Lagrangian formulation
  • Basic principles of biomechanics
NEXT STEPS
  • Research the Spring Mass Model in running biomechanics
  • Study the application of the Runge-Kutta method in motion analysis
  • Explore the Lagrangian formulation in classical mechanics
  • Investigate recent papers on running performance modeling
USEFUL FOR

Mathematicians, physicists, engineers, and physiotherapists interested in biomechanics and running performance optimization will benefit from this discussion.

tedjan
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Looking for math/physics people interested in the running biomechanics

Are there any other math/physics/engineering runners out there who are interested in collaborating on an effort to understand their own running performance by using a mathematical model known as the Spring Mass (SM) Model (1). It treats the runner as a single mass bouncing on a pair of spring-like legs, similar to pogo sticks (2). There have been a few papers verifying the model and demonstrating that it does model a runner’s performance.

If you have a mathematical background, understand Newton’s and Euler’s equations, know a little bit about Kunge-Kutta and have some understanding of the Langrangian formulation and equations of motion, please send me an email at tjacmc@aol.com. It might be interesting to see what insights we can come up with together.

Ted Andresen

(1) http://members.aol.com/tjacmc/SpringMass.jpg
(2) http://members.aol.com/EasyExperiments/GaitCycle/GaitCycle.gif
 
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hey
i live in brazil and I'm doing a theses in physiotherapy and i would like to use your picture of gait cycle, if you don't mind. but i can't get it open! if you can, please send me! i wouldn't know how to thank you
see you soon!
love,
julia
 

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