Nonlinear Vibration Response of a Rectangular Tube with a Flexible End and Non-Rigid Acoustic Boundaries
This paper addresses the analysis for the nonlinear vibration response of a rectangular tube with a flexible end and non-rigid acoustic boundaries. The structural–acoustic modal formulations are developed from the Duffing differential equation and wave equation, which represent the large-amplitude s...
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| Format: | Article |
| Language: | English |
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MDPI AG
2016-12-01
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| Series: | Applied Sciences |
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| Online Access: | http://www.mdpi.com/2076-3417/6/12/424 |
| _version_ | 1818263741625532416 |
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| author | Yiu-Yin Lee |
| author_facet | Yiu-Yin Lee |
| author_sort | Yiu-Yin Lee |
| collection | DOAJ |
| description | This paper addresses the analysis for the nonlinear vibration response of a rectangular tube with a flexible end and non-rigid acoustic boundaries. The structural–acoustic modal formulations are developed from the Duffing differential equation and wave equation, which represent the large-amplitude structural vibration of a flexible panel coupled with a cavity. This problem considers both non-rigid acoustic boundary and structural cubic nonlinearity. The multi-level residue harmonic balance method is employed for solving the nonlinear coupled differential equations developed in the problem. The results obtained from the proposed method and numerical method are generally in good agreement. The effects of excitation magnitude, tube length, and phase shift parameter, etc., are examined. |
| first_indexed | 2024-12-12T19:23:50Z |
| format | Article |
| id | doaj.art-c18a3108c6b54feaba0d6fad695f89b0 |
| institution | Directory Open Access Journal |
| issn | 2076-3417 |
| language | English |
| last_indexed | 2024-12-12T19:23:50Z |
| publishDate | 2016-12-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Applied Sciences |
| spelling | doaj.art-c18a3108c6b54feaba0d6fad695f89b02022-12-22T00:14:33ZengMDPI AGApplied Sciences2076-34172016-12-0161242410.3390/app6120424app6120424Nonlinear Vibration Response of a Rectangular Tube with a Flexible End and Non-Rigid Acoustic BoundariesYiu-Yin Lee0Department of Civil and Architectural Engineering, City University of Hong Kong, Kowloon Tong, Kowloon, Hong KongThis paper addresses the analysis for the nonlinear vibration response of a rectangular tube with a flexible end and non-rigid acoustic boundaries. The structural–acoustic modal formulations are developed from the Duffing differential equation and wave equation, which represent the large-amplitude structural vibration of a flexible panel coupled with a cavity. This problem considers both non-rigid acoustic boundary and structural cubic nonlinearity. The multi-level residue harmonic balance method is employed for solving the nonlinear coupled differential equations developed in the problem. The results obtained from the proposed method and numerical method are generally in good agreement. The effects of excitation magnitude, tube length, and phase shift parameter, etc., are examined.http://www.mdpi.com/2076-3417/6/12/424nonlinear plate vibrationstructural acousticsharmonic balance method |
| spellingShingle | Yiu-Yin Lee Nonlinear Vibration Response of a Rectangular Tube with a Flexible End and Non-Rigid Acoustic Boundaries Applied Sciences nonlinear plate vibration structural acoustics harmonic balance method |
| title | Nonlinear Vibration Response of a Rectangular Tube with a Flexible End and Non-Rigid Acoustic Boundaries |
| title_full | Nonlinear Vibration Response of a Rectangular Tube with a Flexible End and Non-Rigid Acoustic Boundaries |
| title_fullStr | Nonlinear Vibration Response of a Rectangular Tube with a Flexible End and Non-Rigid Acoustic Boundaries |
| title_full_unstemmed | Nonlinear Vibration Response of a Rectangular Tube with a Flexible End and Non-Rigid Acoustic Boundaries |
| title_short | Nonlinear Vibration Response of a Rectangular Tube with a Flexible End and Non-Rigid Acoustic Boundaries |
| title_sort | nonlinear vibration response of a rectangular tube with a flexible end and non rigid acoustic boundaries |
| topic | nonlinear plate vibration structural acoustics harmonic balance method |
| url | http://www.mdpi.com/2076-3417/6/12/424 |
| work_keys_str_mv | AT yiuyinlee nonlinearvibrationresponseofarectangulartubewithaflexibleendandnonrigidacousticboundaries |