有限要素法による音場の解析

概要

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Recently, the finite element method has been applied to various acoustic problems and this has made it possible to apply theoretical investigation to problems which had not been analyzed because of the difficulty of analytical treatment or experiment. The finite element method is usually formulated by minimizing the functional characteristics approximately utilizing the variation principle. However, the energy of the system is variable for such a dissipative system as the acoustic system with sound absorption. In such a case, one has carried out calculation for dissipative systems as though they were constant systems by introducing an adjunct system. As another approach to problem of this type, we introduce the approximate equation of the finite element directly from the wave equation by means of the Galerkin method, which provides the best approximation of those methods known as the method of weighted residuals, and carry out numerical calculation for some acoustic systems. We take rectangular rooms with flat walls and with triangular wedge-sharped walls as examples of the two dimentional sound fields in a room and ducts with a rectangular bend as examples of the calculation of the transmission loss, and then we discuss the differences of the result due to the absorption treatment.
社団法人日本音響学会の論文
1978-11-01