On Travelling Wave Modes of Axially Moving String and Beam
The traditional vibrational standing-wave modes of beams and strings show static overall contour with finite number of fixed nodes. The travelling wave modes are investigated in this study of axially moving string and beam although the solutions have been obtained in the literature. The travelling w...
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| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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Wiley
2019-01-01
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| Series: | Shock and Vibration |
| Online Access: | http://dx.doi.org/10.1155/2019/9496180 |
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| _version_ | 1832545683455868928 |
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| author | Lei Lu Xiao-Dong Yang Wei Zhang Siu-Kai Lai |
| author_facet | Lei Lu Xiao-Dong Yang Wei Zhang Siu-Kai Lai |
| author_sort | Lei Lu |
| collection | DOAJ |
| description | The traditional vibrational standing-wave modes of beams and strings show static overall contour with finite number of fixed nodes. The travelling wave modes are investigated in this study of axially moving string and beam although the solutions have been obtained in the literature. The travelling wave modes show time-varying contour instead of static contour. In the model of an axially moving string, only backward travelling wave modes are found and verified by experiments. Although there are n − 1 fixed nodes in the nth order mode, similar to the vibration of traditional static strings, the presence of travelling wave phenomenon is still spotted between any two adjacent nodes. In contrast to the stationary nodes of string modes, the occurrence of galloping nodes of axially moving beams is discovered: the nodes oscillate periodically during modal motions. Both forward and backward travelling wave phenomena are detected for the axially moving beam case. It is found that the ranges of forward travelling wave modes increase with the axially moving speed. It is also concluded that backward travelling wave modes can transform to the forward travelling wave modes as the transport speed surpasses the buckling critical speed. |
| format | Article |
| id | doaj-art-eb9d91fa665444148545f5c37c0eb95b |
| institution | Kabale University |
| issn | 1070-9622 1875-9203 |
| language | English |
| publishDate | 2019-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Shock and Vibration |
| spelling | doaj-art-eb9d91fa665444148545f5c37c0eb95b2025-02-03T07:25:15ZengWileyShock and Vibration1070-96221875-92032019-01-01201910.1155/2019/94961809496180On Travelling Wave Modes of Axially Moving String and BeamLei Lu0Xiao-Dong Yang1Wei Zhang2Siu-Kai Lai3College of Mechanical Engineering, Beijing University of Technology, Beijing 100124, ChinaCollege of Mechanical Engineering, Beijing University of Technology, Beijing 100124, ChinaCollege of Mechanical Engineering, Beijing University of Technology, Beijing 100124, ChinaThe Hong Kong Polytechnic University Shenzhen Research Institute, Shenzhen 518057, ChinaThe traditional vibrational standing-wave modes of beams and strings show static overall contour with finite number of fixed nodes. The travelling wave modes are investigated in this study of axially moving string and beam although the solutions have been obtained in the literature. The travelling wave modes show time-varying contour instead of static contour. In the model of an axially moving string, only backward travelling wave modes are found and verified by experiments. Although there are n − 1 fixed nodes in the nth order mode, similar to the vibration of traditional static strings, the presence of travelling wave phenomenon is still spotted between any two adjacent nodes. In contrast to the stationary nodes of string modes, the occurrence of galloping nodes of axially moving beams is discovered: the nodes oscillate periodically during modal motions. Both forward and backward travelling wave phenomena are detected for the axially moving beam case. It is found that the ranges of forward travelling wave modes increase with the axially moving speed. It is also concluded that backward travelling wave modes can transform to the forward travelling wave modes as the transport speed surpasses the buckling critical speed.http://dx.doi.org/10.1155/2019/9496180 |
| spellingShingle | Lei Lu Xiao-Dong Yang Wei Zhang Siu-Kai Lai On Travelling Wave Modes of Axially Moving String and Beam Shock and Vibration |
| title | On Travelling Wave Modes of Axially Moving String and Beam |
| title_full | On Travelling Wave Modes of Axially Moving String and Beam |
| title_fullStr | On Travelling Wave Modes of Axially Moving String and Beam |
| title_full_unstemmed | On Travelling Wave Modes of Axially Moving String and Beam |
| title_short | On Travelling Wave Modes of Axially Moving String and Beam |
| title_sort | on travelling wave modes of axially moving string and beam |
| url | http://dx.doi.org/10.1155/2019/9496180 |
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