Abstract

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.

Highlights

  • Human parts move when involved in activities such as walking, running dancing, jumping and so on

  • The values revealed that the position of the arm segments at every point in time, the mass at the end of each segment and the length of the segment are all important in the body mechanics analysis

  • This paper analytically modelled the dynamics of human arm as a triple pendulum system in motion

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Summary

Introduction

Human parts move when involved in activities such as walking, running dancing, jumping and so on. The proper movement of these parts of the body results in good body balance. Human body or part of it always strives to maintain balance. During any activity the balancing of human arm ensures good and sustained position, at least for a considerable long period of time. Proper body mechanics allows individual to carry out human activities without excessive use of energy. It helps in preventing injuries [3, 4]. A balance of the body, during human activities, is maintained via body mechanics. The three human arm parts represent the three segments in the triple pendulum system.

Modelling the Human Arm
Mathematical Model Formulation
Results and Discussion
Conclusion
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