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Nonlinear Vibration Response of a Rectangular Tube with a Flexible End and Non-Rigid Acoustic Boundaries

Department of Civil and Architectural Engineering, City University of Hong Kong, Kowloon Tong, Kowloon, Hong Kong
Academic Editor: César M. A. Vasques
Appl. Sci. 2016, 6(12), 424; https://doi.org/10.3390/app6120424
Received: 13 September 2016 / Revised: 2 December 2016 / Accepted: 5 December 2016 / Published: 10 December 2016
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. View Full-Text
Keywords: nonlinear plate vibration; structural acoustics; harmonic balance method nonlinear plate vibration; structural acoustics; harmonic balance method
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Lee, Y.-Y. Nonlinear Vibration Response of a Rectangular Tube with a Flexible End and Non-Rigid Acoustic Boundaries. Appl. Sci. 2016, 6, 424.

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