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Solving a backpack vibration system using fourth-order runge-kutta methods

A backpack vibration system involving ordinary differential equations has been developed in this study. The purpose of this research is to solve a biomechanical model of a backpack vibration system numerically. The model is a backpack-human trunk system, represented by a mass-spring system that uses...

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Main Authors: Sharifah Alwiah Abdul Rahman,, Azmin Sham Rambely,, Rokiah Rozita Ahmad,
Format: Article
Language:English
Published: Penerbit Universiti Kebangsaan Malaysia 2013
Online Access:http://journalarticle.ukm.my/6487/1/jqma-9-1-06-abstractrefs.pdf
http://journalarticle.ukm.my/6487/
http://www.ukm.my/jqma/
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spelling my-ukm.journal.64872016-12-14T06:41:19Z http://journalarticle.ukm.my/6487/ Solving a backpack vibration system using fourth-order runge-kutta methods Sharifah Alwiah Abdul Rahman, Azmin Sham Rambely, Rokiah Rozita Ahmad, A backpack vibration system involving ordinary differential equations has been developed in this study. The purpose of this research is to solve a biomechanical model of a backpack vibration system numerically. The model is a backpack-human trunk system, represented by a mass-spring system that uses a Fourier series as an external force to describe a motion of the backpack. The displacement and velocity of the backpack vibration system are determined using two numerical methods; the classical fourth-order Runge-Kutta method (RK4) and a modified fourth-order Runge-Kutta method, namely Arithmetic Mean fourth-order Runge-Kutta methods (AM-RK4). The numerical results obtained from these two methods are compared using the absolute errors. The result shows that RK4 gives better agreement and accuracy with the exact solution when compared to AM-RK4. Penerbit Universiti Kebangsaan Malaysia 2013-07 Article PeerReviewed application/pdf en http://journalarticle.ukm.my/6487/1/jqma-9-1-06-abstractrefs.pdf Sharifah Alwiah Abdul Rahman, and Azmin Sham Rambely, and Rokiah Rozita Ahmad, (2013) Solving a backpack vibration system using fourth-order runge-kutta methods. Journal of Quality Measurement and Analysis, 9 (1). pp. 57-64. ISSN 1823-5670 http://www.ukm.my/jqma/
institution Universiti Kebangsaan Malaysia
building Perpustakaan Tun Sri Lanang Library
collection Institutional Repository
continent Asia
country Malaysia
content_provider Universiti Kebangsaan Malaysia
content_source UKM Journal Article Repository
url_provider http://journalarticle.ukm.my/
language English
description A backpack vibration system involving ordinary differential equations has been developed in this study. The purpose of this research is to solve a biomechanical model of a backpack vibration system numerically. The model is a backpack-human trunk system, represented by a mass-spring system that uses a Fourier series as an external force to describe a motion of the backpack. The displacement and velocity of the backpack vibration system are determined using two numerical methods; the classical fourth-order Runge-Kutta method (RK4) and a modified fourth-order Runge-Kutta method, namely Arithmetic Mean fourth-order Runge-Kutta methods (AM-RK4). The numerical results obtained from these two methods are compared using the absolute errors. The result shows that RK4 gives better agreement and accuracy with the exact solution when compared to AM-RK4.
format Article
author Sharifah Alwiah Abdul Rahman,
Azmin Sham Rambely,
Rokiah Rozita Ahmad,
spellingShingle Sharifah Alwiah Abdul Rahman,
Azmin Sham Rambely,
Rokiah Rozita Ahmad,
Solving a backpack vibration system using fourth-order runge-kutta methods
author_facet Sharifah Alwiah Abdul Rahman,
Azmin Sham Rambely,
Rokiah Rozita Ahmad,
author_sort Sharifah Alwiah Abdul Rahman,
title Solving a backpack vibration system using fourth-order runge-kutta methods
title_short Solving a backpack vibration system using fourth-order runge-kutta methods
title_full Solving a backpack vibration system using fourth-order runge-kutta methods
title_fullStr Solving a backpack vibration system using fourth-order runge-kutta methods
title_full_unstemmed Solving a backpack vibration system using fourth-order runge-kutta methods
title_sort solving a backpack vibration system using fourth-order runge-kutta methods
publisher Penerbit Universiti Kebangsaan Malaysia
publishDate 2013
url http://journalarticle.ukm.my/6487/1/jqma-9-1-06-abstractrefs.pdf
http://journalarticle.ukm.my/6487/
http://www.ukm.my/jqma/
_version_ 1643736786446319616
score 13.23648

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