Modeling and Simulating Human Arm Movement Using a 2 Dimensional 3 Segments Coupled Pendulum System

Authors: Loay A. Al-Zu'be, Asma A. Al-Tamimi, Thakir D. Al-Momani, Ayat J. Alkarala, Maryam A. Alzawahreh

Abstract:

A two dimensional three segments coupled pendulum system that mathematically models human arm configuration was developed along with constructing and solving the equations of motions for this model using the energy (work) based approach of Lagrange. The equations of motion of the model were solved iteratively both as an initial value problem and as a two point boundary value problem. In the initial value problem solutions, both the initial system configuration (segment angles) and initial system velocity (segment angular velocities) were used as inputs, whereas, in the two point boundary value problem solutions initial and final configurations and time were used as inputs to solve for the trajectory of motion. The results suggest that the model solutions are sensitive to small changes in the dynamic forces applied to the system as well as to the initial and boundary conditions used. To overcome the system sensitivity a new approach is suggested.

Keywords: Body Configurations, Equations of Motion, Mathematical Modeling, Movement Trajectories.

Digital Object Identifier (DOI): doi.org/10.5281/zenodo.1056691

References:

[1] Hatze, H. and A. Venter, Practical activation and retention of locomotion constraints in neuro musculoskeletal control system models. J Biomech, 1981. 14(12): p. 873-7.
[2] Pandy, M.G., et al., An optimal control model for maximum-height human jumping. J Biomech, 1990. 23(12): p. 1185-98.
[3] Zajac, F.E., Muscle coordination of movement: a perspective. J Biomech, 1993. 26 Suppl 1: p. 109-24.
[4] Winter, D.A., Biomechanics of human movement with applications to the study of human locomotion. Crit Rev Biomed Eng, 1984. 9(4): p. 287-314.
[5] Drillis, R., R. Contini, and M. Bluestein, Body Segment Parameters; a Survey of Measurement Techniques. Artif Limbs, 1964. 25: p. 44-66.