工程声学中的有限元法

近年来,有限元法已经在工程声学中应用。例如,分析不规则房间内的声场,分析电声换能器的振动问题以及用来评价抗性消声器的特性等。本文讨论用有限元法求解波动方程。用有限元法计算了不规则形状房间的简正频率。比较了线性插值函数和三次插值函数的计算结果和本征值的收敛性。通过二维模型的计算,证明了房间形状的不规则性对室内扩散声场没有影响。

THE FINITE ELEMENT METHOD IN ENGINEERING ACOUSTICS

Recently the finite element method has been applied to the engineering acoustics. For example, it has analysised the acoustics field in irregular shaped room, the forced vibration problem of the electroacousitic transducer, and applied to evaluated performance of the reactive muffers. In this paper the finite element method is demonstrated to applied for the solution of the wave equation. We determined the frequencies of normal modes of the irregular shaped room. By comparing the results for the linear function and cubic polynomial function and the convergences of eigenvalue. Calculating on two dimensional models. It has proved that the irregularity of the room shape is not influence the diffuse sound field in the room.