Scholarlink

<p>Stiffened plates can provide a high strength-to-weight ratio, which has a significant influence on the structural-acoustic coupled characteristics of enclosed cavities. Based on the Rayleigh–Ritz method and the structural-acoustic coupled theory, this paper establishes a unidirectional analytical coupled model for a rectangular cavity with one surface as a stiffened plate. Assuming rigid continuity conditions between the plate and the stiffeners, the stiffness and mass matrices of the stiffened plate are derived using the energy method based on the thin plate theory and Euler–Bernoulli beam theory. Subsequently, the modal frequencies, mode shapes, and vibration responses of the stiffened plate are solved. Based on these, the acoustic responses are obtained by solving the wave equation inside the rectangular cavity. Five kinds of local stiffened forms are studied; compared with the finite element bidirectional coupled model, the obtained results show good agreement within the frequency range of 300 Hz or more. It demonstrates that the analytical model proposed in this paper possesses sufficient computational accuracy for an enclosed cavity that satisfies the weak coupling condition. The results show that the distribution and the thickness of the stiffeners have important effects on the modal shapes and frequencies of the coupled system, and their influence on the dynamic responses is closely related to the frequency range analyzed. A suitable stiffener distribution is effective not only in reducing response peak values relative to the plate-controlled modes but also in reducing those relatives to the cavity-controlled modes. When the thickness of the stiffener is greater than that of the plate, the stiffness of the stiffened plate increases with the thickness of the stiffener; however, the thicker stiffener does not necessarily reduce the acoustic responses. The research in this paper has theoretical significance for the parametric modeling of the engineering calculation and the vibration and noise reduction design of the structural-acoustic coupled systems.</p>

错误：搜索内容不能为空，请输入英文关键词
错误：关键词超出字数限制，请精简
高级检索

Analytical Modeling and Response Analysis of the Structural-Acoustic Coupled System for an Enclosed Cavity with a Stiffened Plate

  • 期刊论文

  • 发表日期：

    2025年6月16日

查看全文
  • Xiaojuan Sun,
  • Yazhen Pei,
  • Jiaxing Zhang

摘要

Stiffened plates can provide a high strength-to-weight ratio, which has a significant influence on the structural-acoustic coupled characteristics of enclosed cavities. Based on the Rayleigh–Ritz method and the structural-acoustic coupled theory, this paper establishes a unidirectional analytical coupled model for a rectangular cavity with one surface as a stiffened plate. Assuming rigid continuity conditions between the plate and the stiffeners, the stiffness and mass matrices of the stiffened plate are derived using the energy method based on the thin plate theory and Euler–Bernoulli beam theory. Subsequently, the modal frequencies, mode shapes, and vibration responses of the stiffened plate are solved. Based on these, the acoustic responses are obtained by solving the wave equation inside the rectangular cavity. Five kinds of local stiffened forms are studied; compared with the finite element bidirectional coupled model, the obtained results show good agreement within the frequency range of 300 Hz or more. It demonstrates that the analytical model proposed in this paper possesses sufficient computational accuracy for an enclosed cavity that satisfies the weak coupling condition. The results show that the distribution and the thickness of the stiffeners have important effects on the modal shapes and frequencies of the coupled system, and their influence on the dynamic responses is closely related to the frequency range analyzed. A suitable stiffener distribution is effective not only in reducing response peak values relative to the plate-controlled modes but also in reducing those relatives to the cavity-controlled modes. When the thickness of the stiffener is greater than that of the plate, the stiffness of the stiffened plate increases with the thickness of the stiffener; however, the thicker stiffener does not necessarily reduce the acoustic responses. The research in this paper has theoretical significance for the parametric modeling of the engineering calculation and the vibration and noise reduction design of the structural-acoustic coupled systems.