<p>This paper studies the vibro-acoustic response and control strategies of composite laminated stiffened plate-shell and acoustic cavity coupled systems based on the improved Fourier series method (IFSM) and the Rayleigh–Ritz method. A vibro-acoustic control model of a closed cylindrical stiffened shell, a stiffened radiating plate, composite laminated curved beams, and internal acoustic cavities for the coupled system is established. According to first-order shear deformation theory (FSDT), the displacement admissible function of the substructures and the sound pressure admissible function of the acoustic cavity are established based on IFSM. The Lagrange energy equation of the coupled system is developed to solve the vibro-acoustic characteristics according to the Rayleigh–Ritz method. The accuracy of this method can be demonstrated. Based on this, the vibro-acoustic response under multi-source excitation is analyzed. The effect of secondary sound or force sources on structural vibration or the sound field within an enclosed acoustic cavity was analyzed. Finally, the selection strategy for the secondary excitation under four different control targets is discussed in a unified numerical example. There are optimal noise reduction ranges when the secondary source amplitude is around 1&#xa0;kg/m<sup>2</sup>. To achieve the control targets of reducing all four targets by 8 dB, the secondary sound excitation distance should be 0.43–0.54&#xa0;m and 0.67–0.73&#xa0;m, and its amplitude ratio to the primary excitation should be 0.85–1.11. This provides a theoretical foundation for low-noise design of plate-shell structures.</p>

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Vibro-Acoustic Response and Control Strategies Analysis of Composite Laminated Stiffened Plate-Shell and Acoustic Cavity Coupled System

  • Hong Zhang,
  • Huiyu Hu,
  • Yiqun Ding,
  • Haoqiu Zhang,
  • Chenggao Qi

摘要

This paper studies the vibro-acoustic response and control strategies of composite laminated stiffened plate-shell and acoustic cavity coupled systems based on the improved Fourier series method (IFSM) and the Rayleigh–Ritz method. A vibro-acoustic control model of a closed cylindrical stiffened shell, a stiffened radiating plate, composite laminated curved beams, and internal acoustic cavities for the coupled system is established. According to first-order shear deformation theory (FSDT), the displacement admissible function of the substructures and the sound pressure admissible function of the acoustic cavity are established based on IFSM. The Lagrange energy equation of the coupled system is developed to solve the vibro-acoustic characteristics according to the Rayleigh–Ritz method. The accuracy of this method can be demonstrated. Based on this, the vibro-acoustic response under multi-source excitation is analyzed. The effect of secondary sound or force sources on structural vibration or the sound field within an enclosed acoustic cavity was analyzed. Finally, the selection strategy for the secondary excitation under four different control targets is discussed in a unified numerical example. There are optimal noise reduction ranges when the secondary source amplitude is around 1 kg/m2. To achieve the control targets of reducing all four targets by 8 dB, the secondary sound excitation distance should be 0.43–0.54 m and 0.67–0.73 m, and its amplitude ratio to the primary excitation should be 0.85–1.11. This provides a theoretical foundation for low-noise design of plate-shell structures.