摘要
针对含有复杂频率成分声源的辐射问题,首先采用傅里叶变换将时域声源传播的控制波动方程转化为频域的Helmholtz方程;其次,选取多个等间隔的频率点作为采样频率,应用边界单元法求解各特征频率的Helmholtz方程,获得不同位置在各采样频率下的声压;最后,采用离散傅里叶反变换将频域声压幅值和相位转化为时域声压。边界元方法的应用过程中,在Helmholtz方程的常规边界积分方程的基础上,采用非连续拉格朗日单元对边界进行离散,保持了试函数在节点处的高阶连续性。在设计的两个不同结构内声场分析的算例下,验证了所提算法的正确性和准确性。
In view of the radiation problem of sound source with complex frequency components,firstly,by using Fourier transform,the governing wave equation of sound source propagation in time domain is transformed into Helmholtz equation in frequency domain.Secondly,with multiple equally spaced frequency points selected as the sampling frequency,the boundary element method is adopted to solve the Helmholtz equation of each characteristic frequency,thus obtaining the sound pressure at different positions under different sampling frequency.Finally,the amplitude and phase of sound pressure in frequency domain are transformed into time domain by an inverse discrete Fourier transform.In the application of the boundary element method,based on the conventional boundary integral equation of Helmholtz equation,the boundary is discretized by discontinuous Lagrange element,with the high order continuity of the test function at the node maintained as well.The calculation examples of acoustic?eld analysis in two different structures are designed,thus verifying the correctness and accuracy of the algorithm.
作者
钦宇
周枫林
王炜佳
张玉良
袁小涵
QIN Yu;ZHOU Fenglin;WANG Weijia;ZHANG Yuliang;YUAN Xiaohan(College of Mechanical Engineering,Hunan University of Technology,Zhuzhou Hunan 412007,China;School of Mechanical Engineering,Quzhou University,Quzhou Zhejiang 324000,China)
出处
《湖南工业大学学报》
2022年第2期41-47,共7页
Journal of Hunan University of Technology
基金
湖南省教育厅科学研究基金资助项目(19B145,20C0607)。
关键词
辐射声场
边界元法
数值反变换
频域法
radiation sound field
boundary element method
numerical inverse transformation
frequency domain method
