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/ http://journalarticle.ukm.my/6487/ http://journalarticle.ukm.my/6487/1/jqma-9-1-06-abstractrefs.pdf

id	ukm-6487
recordtype	eprints
spelling	ukm-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/
repository_type	Digital Repository
institution_category	Local University
institution	Universiti Kebangasaan Malaysia
building	UKM Institutional Repository
collection	Online Access
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/ http://journalarticle.ukm.my/6487/ http://journalarticle.ukm.my/6487/1/jqma-9-1-06-abstractrefs.pdf
first_indexed	2023-09-18T19:47:03Z
last_indexed	2023-09-18T19:47:03Z
_version_	1777405969914920960

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

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