Free vibrations of rotating CNTRC beams in thermal environment
A study on the first natural frequency of rotating nanocomposite beams is addressed in this research. The beam has been reinforced with carbon nanotube. With the purpose of incorporating the shearability of the beam, the Reddy's third order shear deformation theory has been assigned. The motion...
| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
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Elsevier
2021-12-01
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| Series: | Case Studies in Thermal Engineering |
| Subjects: | |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S2214157X21005189 |
| _version_ | 1819177520351674368 |
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| author | Xinli Xu Chunwei Zhang Afrasyab Khan Tamer A. Sebaey Mohammad Alkhedher |
| author_facet | Xinli Xu Chunwei Zhang Afrasyab Khan Tamer A. Sebaey Mohammad Alkhedher |
| author_sort | Xinli Xu |
| collection | DOAJ |
| description | A study on the first natural frequency of rotating nanocomposite beams is addressed in this research. The beam has been reinforced with carbon nanotube. With the purpose of incorporating the shearability of the beam, the Reddy's third order shear deformation theory has been assigned. The motion equations are discretized in space employing the well-know Ritz-technique. For the sake of study on the first natural frequency, the nonlinear in time discretized equations of motion are linearized around the static deformation induced by the centrifugal force. The linearized discretized governing equations around the post-buckling state are exploited to find the first natural frequency after the buckling incidence. The outcomes reveal that although a stationary free-clamped(simply-clamped) beam and a stationary clamped-free(clamped-simply) beam treat similarly in the analyses, the associated rotating beams demonstrate a qualitative discrepancy. Moreover, the outcomes based upon the Reddy's third order shear deformation theory deviate from the results in regard of the Timoshenko beam theory approximately below the length to the height of the beam equal to 12 for CS FGX CNTRC beams. Nevertheless, for the FGO CNTRC beams the results in reference to the both mentioned theories approximately are consistent to each other. |
| first_indexed | 2024-12-22T21:27:58Z |
| format | Article |
| id | doaj.art-e97fddbd522a44f2908c9b0d1e5e1171 |
| institution | Directory Open Access Journal |
| issn | 2214-157X |
| language | English |
| last_indexed | 2024-12-22T21:27:58Z |
| publishDate | 2021-12-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Case Studies in Thermal Engineering |
| spelling | doaj.art-e97fddbd522a44f2908c9b0d1e5e11712022-12-21T18:12:00ZengElsevierCase Studies in Thermal Engineering2214-157X2021-12-0128101355Free vibrations of rotating CNTRC beams in thermal environmentXinli Xu0Chunwei Zhang1Afrasyab Khan2Tamer A. Sebaey3Mohammad Alkhedher4Structural Vibration Control Group, Qingdao University of Technology, Qingdao, 266033, ChinaStructural Vibration Control Group, Qingdao University of Technology, Qingdao, 266033, China; Corresponding author.Institute of Engineering and Technology, Department of Hydraulics and Hydraulic and Pneumatic Systems, South Ural State University, Lenin Prospect 76, Chelyabinsk, 454080, Russian FederationEngineering Management Department, College of Engineering, Prince Sultan University, Riyadh, Saudi Arabia; Mechanical Design and Production Department, Faculty of Engineering, Zagazig University, P.O. Box 44519, Zagazig, Sharkia, EgyptMechanical Engineering Department, Abu Dhabi University, United Arab EmiratesA study on the first natural frequency of rotating nanocomposite beams is addressed in this research. The beam has been reinforced with carbon nanotube. With the purpose of incorporating the shearability of the beam, the Reddy's third order shear deformation theory has been assigned. The motion equations are discretized in space employing the well-know Ritz-technique. For the sake of study on the first natural frequency, the nonlinear in time discretized equations of motion are linearized around the static deformation induced by the centrifugal force. The linearized discretized governing equations around the post-buckling state are exploited to find the first natural frequency after the buckling incidence. The outcomes reveal that although a stationary free-clamped(simply-clamped) beam and a stationary clamped-free(clamped-simply) beam treat similarly in the analyses, the associated rotating beams demonstrate a qualitative discrepancy. Moreover, the outcomes based upon the Reddy's third order shear deformation theory deviate from the results in regard of the Timoshenko beam theory approximately below the length to the height of the beam equal to 12 for CS FGX CNTRC beams. Nevertheless, for the FGO CNTRC beams the results in reference to the both mentioned theories approximately are consistent to each other.http://www.sciencedirect.com/science/article/pii/S2214157X21005189Free vibrationsPost-buckled natural frequencyRotating nanocomposite beamsCarbon nanotubeBoundary condition type |
| spellingShingle | Xinli Xu Chunwei Zhang Afrasyab Khan Tamer A. Sebaey Mohammad Alkhedher Free vibrations of rotating CNTRC beams in thermal environment Case Studies in Thermal Engineering Free vibrations Post-buckled natural frequency Rotating nanocomposite beams Carbon nanotube Boundary condition type |
| title | Free vibrations of rotating CNTRC beams in thermal environment |
| title_full | Free vibrations of rotating CNTRC beams in thermal environment |
| title_fullStr | Free vibrations of rotating CNTRC beams in thermal environment |
| title_full_unstemmed | Free vibrations of rotating CNTRC beams in thermal environment |
| title_short | Free vibrations of rotating CNTRC beams in thermal environment |
| title_sort | free vibrations of rotating cntrc beams in thermal environment |
| topic | Free vibrations Post-buckled natural frequency Rotating nanocomposite beams Carbon nanotube Boundary condition type |
| url | http://www.sciencedirect.com/science/article/pii/S2214157X21005189 |
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