Free vibrational analysis of composite beams reinforced with randomly aligned and oriented carbon nanotubes, resting on an elastic foundation
The main interest of this paperwork is to examinate the dynamic behavior (free vibrational response) of carbon nanotubes (CNT) composite beams standing on an elastic foundation of Winkler-Pasternak’s. The affected beam consists of a polymer matrix reinforced with single-wall carbon nanotubes (SWCNT...
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| Format: | Article |
| Language: | English |
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University Amar Telidji of Laghouat
2022-02-01
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| Series: | Journal of Building Materials and Structures |
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| Online Access: | http://journals.lagh-univ.dz/index.php/jbms/article/view/1895 |
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| _version_ | 1832584039126532096 |
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| author | Mohammed Chatbi Zouaoui Rabie Harrat Tahir Ghazoul Mohamed Bachir Bouiadjra |
| author_facet | Mohammed Chatbi Zouaoui Rabie Harrat Tahir Ghazoul Mohamed Bachir Bouiadjra |
| author_sort | Mohammed Chatbi |
| collection | DOAJ |
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The main interest of this paperwork is to examinate the dynamic behavior (free vibrational response) of carbon nanotubes (CNT) composite beams standing on an elastic foundation of Winkler-Pasternak’s. The affected beam consists of a polymer matrix reinforced with single-wall carbon nanotubes (SWCNT’s), in which, a large number of CNT’s reinforcement of infinite length are distributed in a linear elastic polymer matrix. In this study the CNT’s are considered either aligned or randomly oriented on the matrix.
A refined high-order beam theory (RBT) is adopted in the present analysis using a new shape function. The refined beam theory which is summarized by differentiating the displacement along the beam transverse section into shear and bending components, initially the material properties of the composite beam (CNTRC) are estimated using the Mori-Tanaka’s method. The beam is considered simply supported on the edge-lines. NAVIER’s solutions are proposed to solve the boundary conditions problems. Since there are no results to compare with in the literature; the results in this study are compared with a free vibrational analysis of an isotropic beam. Several aspects such as the length/thickness ratio, volume fraction of nanotubes, and vibrational modes are carried out in the parametric study.
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| format | Article |
| id | doaj-art-b5f18e8ad8e345d2958a22d899885a43 |
| institution | Kabale University |
| issn | 2353-0057 |
| language | English |
| publishDate | 2022-02-01 |
| publisher | University Amar Telidji of Laghouat |
| record_format | Article |
| series | Journal of Building Materials and Structures |
| spelling | doaj-art-b5f18e8ad8e345d2958a22d899885a432025-01-27T21:01:11ZengUniversity Amar Telidji of LaghouatJournal of Building Materials and Structures2353-00572022-02-019110.34118/jbms.v9i1.1895Free vibrational analysis of composite beams reinforced with randomly aligned and oriented carbon nanotubes, resting on an elastic foundationMohammed Chatbi 0Zouaoui Rabie Harrat 1Tahir Ghazoul 2 Mohamed Bachir Bouiadjra3Djillali Liabés University, LSMAGCTP Laboratory, Sidi bel Abbés, AlgeriaDjillali Liabés University, LSMAGCTP Laboratory, Sidi bel Abbés, AlgeriaDjillali Liabés University, LSMAGCTP Laboratory, Sidi bel Abbés, AlgeriaThematic Agency for Scientific and Technological Research, Algeria The main interest of this paperwork is to examinate the dynamic behavior (free vibrational response) of carbon nanotubes (CNT) composite beams standing on an elastic foundation of Winkler-Pasternak’s. The affected beam consists of a polymer matrix reinforced with single-wall carbon nanotubes (SWCNT’s), in which, a large number of CNT’s reinforcement of infinite length are distributed in a linear elastic polymer matrix. In this study the CNT’s are considered either aligned or randomly oriented on the matrix. A refined high-order beam theory (RBT) is adopted in the present analysis using a new shape function. The refined beam theory which is summarized by differentiating the displacement along the beam transverse section into shear and bending components, initially the material properties of the composite beam (CNTRC) are estimated using the Mori-Tanaka’s method. The beam is considered simply supported on the edge-lines. NAVIER’s solutions are proposed to solve the boundary conditions problems. Since there are no results to compare with in the literature; the results in this study are compared with a free vibrational analysis of an isotropic beam. Several aspects such as the length/thickness ratio, volume fraction of nanotubes, and vibrational modes are carried out in the parametric study. http://journals.lagh-univ.dz/index.php/jbms/article/view/1895Free vibration analysesMori-Tanaka’s methodCarbon nanotube reinforced beamsElastic foundationrefined beam theory |
| spellingShingle | Mohammed Chatbi Zouaoui Rabie Harrat Tahir Ghazoul Mohamed Bachir Bouiadjra Free vibrational analysis of composite beams reinforced with randomly aligned and oriented carbon nanotubes, resting on an elastic foundation Journal of Building Materials and Structures Free vibration analyses Mori-Tanaka’s method Carbon nanotube reinforced beams Elastic foundation refined beam theory |
| title | Free vibrational analysis of composite beams reinforced with randomly aligned and oriented carbon nanotubes, resting on an elastic foundation |
| title_full | Free vibrational analysis of composite beams reinforced with randomly aligned and oriented carbon nanotubes, resting on an elastic foundation |
| title_fullStr | Free vibrational analysis of composite beams reinforced with randomly aligned and oriented carbon nanotubes, resting on an elastic foundation |
| title_full_unstemmed | Free vibrational analysis of composite beams reinforced with randomly aligned and oriented carbon nanotubes, resting on an elastic foundation |
| title_short | Free vibrational analysis of composite beams reinforced with randomly aligned and oriented carbon nanotubes, resting on an elastic foundation |
| title_sort | free vibrational analysis of composite beams reinforced with randomly aligned and oriented carbon nanotubes resting on an elastic foundation |
| topic | Free vibration analyses Mori-Tanaka’s method Carbon nanotube reinforced beams Elastic foundation refined beam theory |
| url | http://journals.lagh-univ.dz/index.php/jbms/article/view/1895 |
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