Mathematical Modelling and Analysis of Human Arm as a Triple Pendulum System using Euler _ Lagragian Model

2nd International Conference on Engineering for Sustainable World

Agarana, Michael C.^1,2 ; Akinlabi, Esther T.^1

Department of Mechanical Engineering Science, University of Johannesburg, South Africa^1

Department of Mathematics, Covenant University, Nigeria^2

关键词: Angular acceleration;    Angular displacement;    Computer Software;    Maple;    Equation of motion;    Euler-Lagrange equations;    Modelling and analysis;    Second-order differential equation;    Simulated results;   

Others  :  https://iopscience.iop.org/article/10.1088/1757-899X/413/1/012010/pdf
DOI  :  10.1088/1757-899X/413/1/012010

来源: IOP

【 摘 要 】

This study attempts to model the human arm as a dynamical triple pendulum system. The equation of motion of te human arm was obtained using Euler-Lagrange equation. The resulted second order differential equation was solved analytically. Simulated results were presented with the aid of a computer software - Maple. It was observed that the angular displacement values of the three segments are directly proportional to their respective angular acceleration, which is in the modelling and analysis of human arm motion as a multiple pendulum system. Generally, the longer the segments of the human arm the longer it takes to swing back and forth, and the fewer back-and-forth swings there are in a second.