Analytical Analysis for Parameter Design of Attached Nonlinear Energy Sink
The dynamic responses of a linear primary structure coupled with a nonlinear energy sink (NES) are investigated under harmonic excitation in the 1 : 1 resonance regime. In civil engineering, initial conditions are usually zero or approximately zero. Therefore, in this study, only these conditions ar...
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| Format: | Article |
| Language: | English |
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Wiley
2021-01-01
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| Series: | Shock and Vibration |
| Online Access: | http://dx.doi.org/10.1155/2021/5163479 |
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| _version_ | 1832560664397217792 |
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| author | Tianjiao Zhang Luyu Li Yilin Zheng |
| author_facet | Tianjiao Zhang Luyu Li Yilin Zheng |
| author_sort | Tianjiao Zhang |
| collection | DOAJ |
| description | The dynamic responses of a linear primary structure coupled with a nonlinear energy sink (NES) are investigated under harmonic excitation in the 1 : 1 resonance regime. In civil engineering, initial conditions are usually zero or approximately zero. Therefore, in this study, only these conditions are considered. The strongly modulated response (SMR), whose occurrence is conditional, is the precondition for effective target energy transfer (TET) in this system. Therefore, this study aims to determine the parameter range in which the SMR can occur. The platform phenomenon and other related phenomena are observed while analyzing slow-varying equations. An excitation amplitude interval during which the SMR can occur is obtained, and an approximate analytical solution of the optimal nonlinear stiffness is found. The numerical results show that the NES based on the optimal stiffness performs better in terms of control performance. |
| format | Article |
| id | doaj-art-5174c0b5f94e4232960834640905a584 |
| institution | Kabale University |
| issn | 1070-9622 1875-9203 |
| language | English |
| publishDate | 2021-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Shock and Vibration |
| spelling | doaj-art-5174c0b5f94e4232960834640905a5842025-02-03T01:27:00ZengWileyShock and Vibration1070-96221875-92032021-01-01202110.1155/2021/51634795163479Analytical Analysis for Parameter Design of Attached Nonlinear Energy SinkTianjiao Zhang0Luyu Li1Yilin Zheng2School of Construction Engineering, Dalian University of Technology, Dalian, Liaoning 116024, ChinaSchool of Construction Engineering, Dalian University of Technology, Dalian, Liaoning 116024, ChinaSchool of Construction Engineering, Dalian University of Technology, Dalian, Liaoning 116024, ChinaThe dynamic responses of a linear primary structure coupled with a nonlinear energy sink (NES) are investigated under harmonic excitation in the 1 : 1 resonance regime. In civil engineering, initial conditions are usually zero or approximately zero. Therefore, in this study, only these conditions are considered. The strongly modulated response (SMR), whose occurrence is conditional, is the precondition for effective target energy transfer (TET) in this system. Therefore, this study aims to determine the parameter range in which the SMR can occur. The platform phenomenon and other related phenomena are observed while analyzing slow-varying equations. An excitation amplitude interval during which the SMR can occur is obtained, and an approximate analytical solution of the optimal nonlinear stiffness is found. The numerical results show that the NES based on the optimal stiffness performs better in terms of control performance.http://dx.doi.org/10.1155/2021/5163479 |
| spellingShingle | Tianjiao Zhang Luyu Li Yilin Zheng Analytical Analysis for Parameter Design of Attached Nonlinear Energy Sink Shock and Vibration |
| title | Analytical Analysis for Parameter Design of Attached Nonlinear Energy Sink |
| title_full | Analytical Analysis for Parameter Design of Attached Nonlinear Energy Sink |
| title_fullStr | Analytical Analysis for Parameter Design of Attached Nonlinear Energy Sink |
| title_full_unstemmed | Analytical Analysis for Parameter Design of Attached Nonlinear Energy Sink |
| title_short | Analytical Analysis for Parameter Design of Attached Nonlinear Energy Sink |
| title_sort | analytical analysis for parameter design of attached nonlinear energy sink |
| url | http://dx.doi.org/10.1155/2021/5163479 |
| work_keys_str_mv | AT tianjiaozhang analyticalanalysisforparameterdesignofattachednonlinearenergysink AT luyuli analyticalanalysisforparameterdesignofattachednonlinearenergysink AT yilinzheng analyticalanalysisforparameterdesignofattachednonlinearenergysink |