Theoretical prediction of joint reaction force in a dynamic general 3-d pendulum tree model for human or animal motion

Lagrangian dynamics and the method of superfluous coordinates are applied to predict dynamic joint reaction forces in an idealized flexible model of a branched 3-D pendulum tree system. The number of segments and joints on the tree are adjustable as is the branching tree pattern. The segments that comprise the tree are assumed to be one- dimensional rigid rods containing a discrete set of mass points that is both flexible in number and distribution on the tree. The idealized 3-D pendulum tree system is intended to provide a flexible theoretical framework to model and better understand the dynamics of human and animal movement as well as the forces associated with those movements. In particular, this work focuses on predicting the dynamic reaction forces that are produced in the simple idealized frictionless joints of the pendulum system during motion. The ability to predict dynamic joint reaction forces in this model system could prove helpful in assessing the potential effect of a posited movement technique in producing joint injury and/or pain. This thesis extends the findings of previous work on similar pendulum model systems in 2-D to model systems in 3-D.

Name thesis:degree_name

Master of Science in Biomedical Engineering - (M.S.)

Discipline thesis:degree_discipline

Biomedical Engineering

Year

2012

Author dc:creator

• Goyal, Sucheta

Contributors dc:contributor

• H. Michael Lacker
• Mesut Sahin
• Richard A. Foulds

• Dynamic joint reaction
• Idealized flexible model
• 3-D pendulum tree system
• Biomedical Engineering and Bioengineering

Repository record dc:identifier

https://digitalcommons.njit.edu/theses/106

OAI identifier oai:identifier

oai:digitalcommons.njit.edu:theses-1105