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...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Penerbit Universiti Kebangsaan Malaysia
2013
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| Online Access: | http://journalarticle.ukm.my/6487/ http://journalarticle.ukm.my/6487/1/jqma-9-1-06-abstractrefs.pdf |
| _version_ | 1848811170986721280 |
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| author | Sharifah Alwiah Abdul Rahman, Azmin Sham Rambely, Rokiah Rozita Ahmad, |
| author_facet | Sharifah Alwiah Abdul Rahman, Azmin Sham Rambely, Rokiah Rozita Ahmad, |
| author_sort | Sharifah Alwiah Abdul Rahman, |
| building | UKM Institutional Repository |
| collection | Online Access |
| 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. |
| first_indexed | 2025-11-14T23:42:09Z |
| format | Article |
| id | oai:generic.eprints.org:6487 |
| institution | Universiti Kebangasaan Malaysia |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-14T23:42:09Z |
| publishDate | 2013 |
| publisher | Penerbit Universiti Kebangsaan Malaysia |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | oai:generic.eprints.org: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/ |
| spellingShingle | Sharifah Alwiah Abdul Rahman, Azmin Sham Rambely, Rokiah Rozita Ahmad, Solving a backpack vibration system using fourth-order runge-kutta methods |
| title | 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_short | Solving a backpack vibration system using fourth-order runge-kutta methods |
| title_sort | solving a backpack vibration system using fourth-order runge-kutta methods |
| url | http://journalarticle.ukm.my/6487/ http://journalarticle.ukm.my/6487/ http://journalarticle.ukm.my/6487/1/jqma-9-1-06-abstractrefs.pdf |