Analytic Formula for the Vibration and Sound Radiation of a Nonlinear Duct
This paper addresses the vibration and sound radiation of a nonlinear duct. Many related works assume that the boundaries are linearly vibrating (i.e., their vibration amplitudes are small), or that the duct panels are rigid, and their vibrations can thus be neglected. A classic method combined with...
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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/10.1155/2019/9685142 |
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| _version_ | 1832553006687584256 |
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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 vibration and sound radiation of a nonlinear duct. Many related works assume that the boundaries are linearly vibrating (i.e., their vibration amplitudes are small), or that the duct panels are rigid, and their vibrations can thus be neglected. A classic method combined with Vieta’s substitution technique is adopted to develop an analytic formula for computing the nonlinear structural and acoustic responses. The development of the analytic formula is based on the classical nonlinear thin plate theory and the three-dimensional wave equation. The main advantage of the analytic formula is that no nonlinear equation solver is required during the solution procedure. The results obtained from the proposed classic method show reasonable agreement with those from the total harmonic balance method. The effects of excitation magnitude, panel length, damping, and number of flexible panels on the sound and vibration responses are investigated. |
| format | Article |
| id | doaj-art-b7a4129b2c084f9ca03a6d69ba9ff210 |
| 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-b7a4129b2c084f9ca03a6d69ba9ff2102025-02-03T05:57:20ZengWileyShock and Vibration1070-96221875-92032019-01-01201910.1155/2019/96851429685142Analytic Formula for the Vibration and Sound Radiation of a Nonlinear DuctYiu-Yin Lee0Department of Architecture and Civil Engineering, City University of Hong Kong, Kowloon Tong, Kowloon, Hong KongThis paper addresses the vibration and sound radiation of a nonlinear duct. Many related works assume that the boundaries are linearly vibrating (i.e., their vibration amplitudes are small), or that the duct panels are rigid, and their vibrations can thus be neglected. A classic method combined with Vieta’s substitution technique is adopted to develop an analytic formula for computing the nonlinear structural and acoustic responses. The development of the analytic formula is based on the classical nonlinear thin plate theory and the three-dimensional wave equation. The main advantage of the analytic formula is that no nonlinear equation solver is required during the solution procedure. The results obtained from the proposed classic method show reasonable agreement with those from the total harmonic balance method. The effects of excitation magnitude, panel length, damping, and number of flexible panels on the sound and vibration responses are investigated.http://dx.doi.org/10.1155/2019/9685142 |
| spellingShingle | Yiu-Yin Lee Analytic Formula for the Vibration and Sound Radiation of a Nonlinear Duct Shock and Vibration |
| title | Analytic Formula for the Vibration and Sound Radiation of a Nonlinear Duct |
| title_full | Analytic Formula for the Vibration and Sound Radiation of a Nonlinear Duct |
| title_fullStr | Analytic Formula for the Vibration and Sound Radiation of a Nonlinear Duct |
| title_full_unstemmed | Analytic Formula for the Vibration and Sound Radiation of a Nonlinear Duct |
| title_short | Analytic Formula for the Vibration and Sound Radiation of a Nonlinear Duct |
| title_sort | analytic formula for the vibration and sound radiation of a nonlinear duct |
| url | http://dx.doi.org/10.1155/2019/9685142 |
| work_keys_str_mv | AT yiuyinlee analyticformulaforthevibrationandsoundradiationofanonlinearduct |