Abstract
A three-dimensional modified Fourier series method is applied to study the acoustic characteristics of the trapezoidal cavity and coupled cavity with various impedance boundary conditions. The formulation is constructed to describe the cavity systems based on the energy principle. The admissible sound pressure function is set to a Fourier cosine series and supplementary functions. These supplementary functions can eliminate the discontinuous or jumping phenomenon in the boundaries. The trapezoidal cavity can be transformed into regular rectangular cavity by coordinate transformation. The triangular cavity can be obtained by changing the dimensions of the trapezoidal cavity. The coupled cavity consists of two irregular triangular cavities and the coupling interface is regarded as a non-dissipative surface. The accuracy and convergence of the present results are verified by comparison with the results obtained by finite element calculation and experiment. The natural frequencies and mode shapes of the trapezoidal cavity and coupled cavity are studied. Besides, the sound pressure response under monopole sound source excitation is obtained. What’s more, some results are obtained in the basis of effects of various factors on acoustic characteristics, such as shapes, geometric parameters and impedance values. These results provide a benchmark for the future researches.
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
