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

Michael C. Agarana; Esther T. Akinlabi

doi:10.1088/1757-899X/413/1/012010

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

Michael C. Agarana, Esther T. Akinlabi

Mechanical Engineering Science

Research output: Contribution to journal › Conference article › peer-review

4 Citations (Scopus)

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.

Original language	English
Article number	012010
Journal	IOP Conference Series: Materials Science and Engineering
Volume	413
Issue number	1
DOIs	https://doi.org/10.1088/1757-899X/413/1/012010
Publication status	Published - 10 Sept 2018
Event	2nd International Conference on Engineering for Sustainable World, ICESW 2018 - Ota, Nigeria Duration: 9 Jul 2018 → 13 Jul 2018

ASJC Scopus subject areas

General Materials Science
General Engineering

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10.1088/1757-899X/413/1/012010

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title = "Mathematical Modelling and Analysis of Human Arm as a Triple Pendulum System using Euler - Lagragian Model",

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.",

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AU - Agarana, Michael C.

AU - Akinlabi, Esther T.

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Y1 - 2018/9/10

N2 - 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.

AB - 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.

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JO - IOP Conference Series: Materials Science and Engineering

JF - IOP Conference Series: Materials Science and Engineering

IS - 1

M1 - 012010

T2 - 2nd International Conference on Engineering for Sustainable World, ICESW 2018

Y2 - 9 July 2018 through 13 July 2018

ER -

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

Abstract

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