Forced acoustic analysis and energy distribution for a theoretical model of coupled rooms with a transparent opening

Abstract

This study presents a forced acoustic analysis and investigation of the energy distribution of a theoretical model of coupled rooms with a transparent coupling aperture. The energy principle is employed in combination with a 3D modified Fourier cosine series approach to formulate the theoretical model. The sound pressures inside individual subrooms are expanded as 3D Fourier cosine series supplemented with auxiliary functions, which are introduced to ensure the uniform convergence of the solution over the entire solution domain. Both the energy transmission through the coupling interface and the work done by the external load are considered as the external work in the energy expressions for the coupled system. The theoretical results are verified using the experimental results obtained for the room with a transparent opening. The influences of the coupling aperture and boundary conditions on the acoustic behaviors and energy distribution inside the coupled room system are investigated, including: opening positions, opening size, and impedance boundaries.