简要描叙FE法(finite element method)和WB法(wave based method)的理论背景以及耦合FE/WB法的数学基础.耦合FE/WB法利用两者的优势——FE法的广泛应用和WB法的高收敛特性,将FE模型中较大且几何简单的部分采用WB法代替.耦合模型具有相对较少的自由度.对于较高的频率还可以进行细分得到更高的计算精度,并利用模态缩减法进一步减少自由度数.数值算例结果表明,该耦合方法有潜力覆盖中频段的声分析.
We discuss briefly theoretical background of FEM and WBM and mathematical description of coupled FE/WB approach. FEM and WBM show advantages in wide application and high convergence rate, respectively. A coupling of predication tools benefits from advantages of both. The basic idea is to replace parts in the finite element mode, which have simple geometrical shapes, by much smaller wave models. It results in a coupled model with less degree of freedom. This allows a further refinement of model, which leads to an improved accuracy at higher frequencies and reduces number of degree of freedom by modal reduction techniques. Numerical example indicates that the proposed method has potential in covering a range with mid-frequency.