A new method to study free transverse vibration of the human lumbar spine as segmental multi-layer Timoshenko and Euler–Bernoulli beams
Abstract Background The aim of this study is to propose a method for studying the free transverse vibration of the human lumbar spine using Timoshenko and Euler–Bernoulli beam theories. Methods The cross section of the lumber spine is assumed to be uniform, and the material properties are different...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2018-07-01
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| Series: | International Journal of Mechanical and Materials Engineering |
| Subjects: | |
| Online Access: | http://link.springer.com/article/10.1186/s40712-018-0093-y |
| _version_ | 1811326364459991040 |
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| author | H. Asgharzadeh Shirazi M. Fakher A. Asnafi S. Hosseini Hashemi |
| author_facet | H. Asgharzadeh Shirazi M. Fakher A. Asnafi S. Hosseini Hashemi |
| author_sort | H. Asgharzadeh Shirazi |
| collection | DOAJ |
| description | Abstract Background The aim of this study is to propose a method for studying the free transverse vibration of the human lumbar spine using Timoshenko and Euler–Bernoulli beam theories. Methods The cross section of the lumber spine is assumed to be uniform, and the material properties are different for the vertebral bodies, endplates, and intervertebral discs. To derive equations with biomedical approach, they were developed with n segments of the lumbar spine including vertebrae, intervertebral discs, and endplates. Results Three first natural frequencies and mode shapes of system were computed and then validated with a finite element analyzer. Conclusion Due to good agreements between the results, it was concluded that the proposed method offered acceptable results; therefore, it can be applied to the entire spine from the neck region to the tailbone and pelvis ones. |
| first_indexed | 2024-04-13T14:49:17Z |
| format | Article |
| id | doaj.art-f0f08d8585094fcfb8a3977a930c7df8 |
| institution | Directory Open Access Journal |
| issn | 1823-0334 2198-2791 |
| language | English |
| last_indexed | 2024-04-13T14:49:17Z |
| publishDate | 2018-07-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | International Journal of Mechanical and Materials Engineering |
| spelling | doaj.art-f0f08d8585094fcfb8a3977a930c7df82022-12-22T02:42:40ZengSpringerOpenInternational Journal of Mechanical and Materials Engineering1823-03342198-27912018-07-011311910.1186/s40712-018-0093-yA new method to study free transverse vibration of the human lumbar spine as segmental multi-layer Timoshenko and Euler–Bernoulli beamsH. Asgharzadeh Shirazi0M. Fakher1A. Asnafi2S. Hosseini Hashemi3School of Mechanical Engineering, Iran University of Science and TechnologySchool of Mechanical Engineering, Iran University of Science and TechnologyHydro-Aeronautical Research Center, Shiraz UniversitySchool of Mechanical Engineering, Iran University of Science and TechnologyAbstract Background The aim of this study is to propose a method for studying the free transverse vibration of the human lumbar spine using Timoshenko and Euler–Bernoulli beam theories. Methods The cross section of the lumber spine is assumed to be uniform, and the material properties are different for the vertebral bodies, endplates, and intervertebral discs. To derive equations with biomedical approach, they were developed with n segments of the lumbar spine including vertebrae, intervertebral discs, and endplates. Results Three first natural frequencies and mode shapes of system were computed and then validated with a finite element analyzer. Conclusion Due to good agreements between the results, it was concluded that the proposed method offered acceptable results; therefore, it can be applied to the entire spine from the neck region to the tailbone and pelvis ones.http://link.springer.com/article/10.1186/s40712-018-0093-yHuman spineFree transverse vibrationTapered beamFinite element method |
| spellingShingle | H. Asgharzadeh Shirazi M. Fakher A. Asnafi S. Hosseini Hashemi A new method to study free transverse vibration of the human lumbar spine as segmental multi-layer Timoshenko and Euler–Bernoulli beams International Journal of Mechanical and Materials Engineering Human spine Free transverse vibration Tapered beam Finite element method |
| title | A new method to study free transverse vibration of the human lumbar spine as segmental multi-layer Timoshenko and Euler–Bernoulli beams |
| title_full | A new method to study free transverse vibration of the human lumbar spine as segmental multi-layer Timoshenko and Euler–Bernoulli beams |
| title_fullStr | A new method to study free transverse vibration of the human lumbar spine as segmental multi-layer Timoshenko and Euler–Bernoulli beams |
| title_full_unstemmed | A new method to study free transverse vibration of the human lumbar spine as segmental multi-layer Timoshenko and Euler–Bernoulli beams |
| title_short | A new method to study free transverse vibration of the human lumbar spine as segmental multi-layer Timoshenko and Euler–Bernoulli beams |
| title_sort | new method to study free transverse vibration of the human lumbar spine as segmental multi layer timoshenko and euler bernoulli beams |
| topic | Human spine Free transverse vibration Tapered beam Finite element method |
| url | http://link.springer.com/article/10.1186/s40712-018-0093-y |
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