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Free damped pendulum solution : closed form

  1. Aug 19, 2010 #1
    I am modelling a free damped simple pendulum and was wondering if anyone could refer me to a paper or perhaps provide me with an expression describing the motion of the pendlum with large initial amplitude. I have solved the equations numerically but am implementing an optimization routine and have been requested a closed form of the equations if possible to speed things up.

    I have described the undamped case using elliptic integrals and jacobi functions and was wondering if there is some extension on this to include damping.

    Equation to solve is
    y'' + cy' -g/l siny = 0

    Any help much appreciated!
  2. jcsd
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