Modeling of a trapezoidal sound field covered by an inclined panel and its vibro-acoustic analysis

作者：Chen, Yuehua^*; Jin, Guoyong; Liu, Zhigang; Wang, Yanzhao

来源：Journal of Harbin Engineering University, 2018, 39(7): 1186-1190.

DOI：10.11990/jheu.201703055

• Acoustic characteristic
• Chebyshev series
• Restrained conditions
• Variational theory
• Vibration displacements
• Vibro-acoustic analysis
• Vibro-acoustic couplings
• Vibroacoustic characteristics

To model a trapezoidal sound field covered by an inclined panel, a modeling method for irregular sound field-structure coupling systems was proposed based on the Chebyshev-variational theory. A coupled model of inclined panel-trapezoidal enclosed sound field is established under elastic restrained conditions. The vibration displacement and sound pressure are separately expressed as multiple Chebyshev polynomials. The Lagrangian functional of the structure and sound field are solved according to the Ritz method. The acoustic characteristic equation of the coupling system is obtained, and the natural frequency and mode shapes of the system are acquired. By comparing with the finite element results, the accuracy of the present method is validated. In addition, considering the boundary conditions of the structure and the inclination angle of the sound field, the influence of the natural frequency of the coupled system is analyzed. It reveals that the existence of the inclination enhances the irregularity of the modal of sound field, and with an increase of the inclination, the panel-controlled frequency of the coupled system decreases successively, while the change of the cavity-controlled natural frequencies becomes complex. Furthermore, the release of the inclined boundary restraints of the panel results in an obvious decrease of the natural frequencies of each order of the system.

• 出版日期2018
• 单位哈尔滨工程大学