基于波函数法的样条边界声学域中频响应

Mid-frequency acoustic response analysis of cavity with spline boundary based on wave-based method

基于波函数法(WBM)和B样条理论,提出将波函数法引入到含有B样条曲线边界的声腔中进行声学预测的方法,以2种数值积分方法实现.通过改变样条曲线的控制参数,得到2个不同的分析声学域,分别运用波函数法和不同单元尺度的有限元法对该声学域进行计算.对比2种方法下声学域的声压分布、参考点的频率响应以及2种方法的收敛情况.结果表明:采用该方法能够有效地将波函数法应用于含样条边界的声学域中,更加便捷地实现变参数建模.运用波函数法对中频声学响应进行计算分析,具有更高的精度和效率.Gauss积分与Newton积分法的对比,表明了Gauss积分法在该类边界计算中的快收敛与稳健性.

An acoustic predictive method for sound field including B-spline curve boundary with wave-based method（WBM）adopted was proposed based on the theory study of WBM and B-spline.The method was complemented through two different integrate methods.Two different analysis acoustic domains were obtained by changing the control parameters of spline curve,and the acoustic responses were calculated through the use of WBM and finite element method（FEM）with different sizes.The comparisons of the pressure distribution,the frequency response of reference point and the convergence of the two methods indicate that the proposed method can effectively extend the application of WBM in acoustic prediction with spline curve boundary,realize the variable parameter modeling more conveniently,and show the high precision and efficiency for mid-frequency acoustic calculation and analysis.The Gauss integral method is more rapid and steady in calculation of such boundary compared with Newton integral method.