文献类型：期刊文献

中文题名：High-order approximate solution of nonlinear acoustic equation:development and validation

英文题名：High order approximate solution of nonlinear acoustic equation: development and validation

作者：Zhang, Shigong Zhang, Kesheng Ding, Kai Wu, Xianmei

第一作者：Zhang, Shigong

通信作者：Zhang, Shigong|[144401fc956632da4aaa2]张世功;

机构：[1] Guizhou Institute of Technology, Guiyang, 550003, China; [2] Science and Technology on Near-Surface Detection Laboratory, Wuxi, 214035, China; [3] Guizhou Research Center for Multidisciplinary Conjunction of Medicine and Engineering, Guiyang, 550003, China; [4] Institute of Acoustics, Chinese Academy of Sciences, Beijing, 100190, China

第一机构：贵州理工学院

通信机构：Guizhou Institute of Technology, Guiyang, 550003, China;Science and Technology on Near-Surface Detection Laboratory, Wuxi, 214035, China|贵州理工学院;

年份：2021

卷号：40

期号：3

起止页码：633-640

中文期刊名：Chinese Journal of Acoustics

外文期刊名：Shengxue Xuebao/Acta Acustica

收录：CSTPCD;;EI(收录号：20213010693036);Scopus(收录号：2-s2.0-85111221921);北大核心:【北大核心2020】；CSCD:【CSCD2021_2022】；

基金：supported by the National Natural Science Foundation of China(11764007);the High-Level Talent Introduction Project of Guizhou Institute of Technology(XJGC20190670);the Science and Technology Project of Guizhou Institute of Technology(KJZX17-005).

语种：英文

中文关键词：approximate;harmonic;equation;

外文关键词：Control nonlinearities - Acoustic waves - Acoustics - Harmonic analysis - Nonlinear equations - Wave equations

摘要：For the nonlinear acoustic wave equation,the commonly used second harmonic solution is not accurate enough,which causes a big error in measuring the material nonlinearity.Using perturbation inetliud,nonlinear acoustic wave equation can be expanded into a series of inhomogeneous partial differential equations.The special solution forms of high harmonics are formulated according to the properties of low harmonic solutions.Then the high-order harmonic solutions are obtained with symbol calculation tool.Thus the high-order approximate solution of the second harmonic can be achieved by summing up all of the second harmonic solutions.To verify the high-order approximate solution,nonlinear acoustic experiments are carried out in water.The results show that the relative amplitude of second harmonic increases firstly and then decreases with the propagation distance and the excited primary amplitude.The high-order approximate solution can compensate for the theory deficiency of the second harmonic perturbation solution,can broaden experimental range in measuring the material nonlinearity,and can improve the accuracy of the measured nonlinearity by making full use of the experimental data.
For the nonlinear acoustic wave equation, the commonly used second harmonic solution is not accurate enough, which causes a big error in measuring the material nonlinearity. Using perturbation method, nonlinear acoustic wave equation can be expanded into a series of inhomogeneous partial differential equations. The special solution forms of the high harmonics are formulated according to the properties of the low harmonic solutions. Then the high-order harmonic solutions are obtained with symbol calculation tool. Thus the high order approximate solution of the second harmonic can be achieved by summing up all of the second harmonic solutions. To verify the high order approximate solution, nonlinear acoustic experiments are carried out in water. The results show that the relative amplitude of the second harmonic increases firstly and then decreases with the propagation distance and the excited primary amplitude. The high order approximate solution can make up for the theory deficiency of the second harmonic perturbation solution, can broaden experimental range in measuring the material nonlinearity and can improve the accuracy of the measured nonlinearity by making full use of the experimental data. ? 2021 Acta Acustica.