Dynamic Modeling and Response of a Rotating Cantilever Beam with a Concentrated Mass
The rigid-flexible coupling system with a hub and concentrated mass is studied in this paper. Considering the second-order coupling of axial displacement which is caused by transverse deformation of the beam, the dynamic equations of the system are established using the second Lagrange equation and...
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| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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Wiley
2016-01-01
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| Series: | Shock and Vibration |
| Online Access: | http://dx.doi.org/10.1155/2016/8935247 |
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| _version_ | 1832552184966807552 |
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| author | Yang Yong-feng Wang Yan-lin Chen Hu Wu Min-juan |
| author_facet | Yang Yong-feng Wang Yan-lin Chen Hu Wu Min-juan |
| author_sort | Yang Yong-feng |
| collection | DOAJ |
| description | The rigid-flexible coupling system with a hub and concentrated mass is studied in this paper. Considering the second-order coupling of axial displacement which is caused by transverse deformation of the beam, the dynamic equations of the system are established using the second Lagrange equation and the assumed mode method. The simulation results show that the concentrated mass mainly suppresses the vibration and exhibits damping characteristics. When the nondimensional mass position parameter β>0.67, the first natural frequency is reduced as the concentrated mass increases. When β<0.67, the first natural frequency is increased as the concentrated mass increases. We also find the maximum first natural frequency nondimensional position for the concentrated mass. |
| format | Article |
| id | doaj-art-caab6b04d7c44363a2746fc7f2247bab |
| institution | Kabale University |
| issn | 1070-9622 1875-9203 |
| language | English |
| publishDate | 2016-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Shock and Vibration |
| spelling | doaj-art-caab6b04d7c44363a2746fc7f2247bab2025-02-03T05:59:25ZengWileyShock and Vibration1070-96221875-92032016-01-01201610.1155/2016/89352478935247Dynamic Modeling and Response of a Rotating Cantilever Beam with a Concentrated MassYang Yong-feng0Wang Yan-lin1Chen Hu2Wu Min-juan3Institute of Vibration Engineering, Northwestern Polytechnical University, Xi’an 710072, ChinaInstitute of Vibration Engineering, Northwestern Polytechnical University, Xi’an 710072, ChinaInstitute of Vibration Engineering, Northwestern Polytechnical University, Xi’an 710072, ChinaNo. 771 Institute of Aerospace Times Electronics Corporation, Xi’an 710065, ChinaThe rigid-flexible coupling system with a hub and concentrated mass is studied in this paper. Considering the second-order coupling of axial displacement which is caused by transverse deformation of the beam, the dynamic equations of the system are established using the second Lagrange equation and the assumed mode method. The simulation results show that the concentrated mass mainly suppresses the vibration and exhibits damping characteristics. When the nondimensional mass position parameter β>0.67, the first natural frequency is reduced as the concentrated mass increases. When β<0.67, the first natural frequency is increased as the concentrated mass increases. We also find the maximum first natural frequency nondimensional position for the concentrated mass.http://dx.doi.org/10.1155/2016/8935247 |
| spellingShingle | Yang Yong-feng Wang Yan-lin Chen Hu Wu Min-juan Dynamic Modeling and Response of a Rotating Cantilever Beam with a Concentrated Mass Shock and Vibration |
| title | Dynamic Modeling and Response of a Rotating Cantilever Beam with a Concentrated Mass |
| title_full | Dynamic Modeling and Response of a Rotating Cantilever Beam with a Concentrated Mass |
| title_fullStr | Dynamic Modeling and Response of a Rotating Cantilever Beam with a Concentrated Mass |
| title_full_unstemmed | Dynamic Modeling and Response of a Rotating Cantilever Beam with a Concentrated Mass |
| title_short | Dynamic Modeling and Response of a Rotating Cantilever Beam with a Concentrated Mass |
| title_sort | dynamic modeling and response of a rotating cantilever beam with a concentrated mass |
| url | http://dx.doi.org/10.1155/2016/8935247 |
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