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Chaotic Phenomena and Nonlinear Responses in a Vibroacoustic System

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  • Yiu-Yin Lee

Abstract

This study addresses the chaotic phenomena and nonlinear responses in a vibroacoustic system. It is the first study about the chaotic phenomena in a vibroacoustic system, which is formed by a flexible panel coupled with a cavity. A multimode formulation is developed from the acoustic governing equation and nonlinear structural governing equation. The chaotic and various nonlinear responses are computed from the multimode formulation using a numerical integration method. The results obtained from the proposed method and classical harmonic balance method are generally consistent. A set of modal convergence studies is performed to check the proposed method. The effects of various parameters on triggering the nonchaotic responses to chaotic responses in a vibroacoustic system are studied in detail.

Suggested Citation

  • Yiu-Yin Lee, 2018. "Chaotic Phenomena and Nonlinear Responses in a Vibroacoustic System," Complexity, Hindawi, vol. 2018, pages 1-12, February.
  • Handle: RePEc:hin:complx:7076150
    DOI: 10.1155/2018/7076150
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    Cited by:

    1. Yiu-Yin Lee, 2023. "Chaotic Vibration and Perforation Effects on the Sound Absorption of a Nonlinear Curved Panel Absorber," Mathematics, MDPI, vol. 11(14), pages 1-16, July.

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