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  • Non-linear spring mass model

    Hello All,

    Can someone direct me to any published papers on modeling the restoring
    force generated by a human leg during compression?

    I wanted to modify my spring mass model (1) so it reflected more closely the
    upward restoring force exerted by the leg between foot-strike and mid-stance
    while running. The linear spring generates a restoring force that increases
    with compression. The leg does not behave this way.

    When I used a "hopping" technique (k=m*(2*PI*f)^2) to examine the spring
    "constant", k, for different angles of knee flexion, I found that the hopping
    frequency, the spring constant and the restoring force decreased the more that
    the knee was flexed.

    A simple model (2) generates an inverse relation between the force and the
    deformation. Has anyone else tried this approach? Any citations would be
    greatly appreciated.

    Sincerely,

    Ted Andresen
    Math Dept. (SP/G)
    St. Petersburg College
    St. Petersburg, Florida

    (1) _http://members.aol.com/tjacmc/SpringMass.gif_
    (http://members.aol.com/tjacmc/SpringMass.gif)
    (2) _http://members.aol.com/tjacmc/KneeModel.gif_
    (http://members.aol.com/tjacmc/KneeModel.gif)
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