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Theses

Theses/Dissertations

2007

Dynamic pendulum tree model

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Theoretical Framework For Predicting Joint Reaction And Ground Reaction Forces In A Dynamic Pendulum Tree Model Of Human Motion, Peyman Rajai Aug 2007

Theoretical Framework For Predicting Joint Reaction And Ground Reaction Forces In A Dynamic Pendulum Tree Model Of Human Motion, Peyman Rajai

Theses

Lagrangian dynamics and the method of superfluous coordinates are applied to find ground and joint reaction forces on the human body modeled as a general branched 2-D pendulum tree system with arbitrary segments and arbitrarily distributed point masses. A theoretical framework is established for predicting these constraint forces during human motion and consequently their effects on dynamics, dynamic stability, energy efficiency and the potential of these forces to produce joint injury and/or pain. Applications to human walking are initiated. During idealized phases where there is only single point contact of the stance leg with the ground such as just after …