文献类型：会议论文

英文题名：The High-Order Perturbation Approximate Solution of the Finite Ultrasonic Wave

作者：Zhang, Shigong Zhang, Kesheng Su, Xiangdong

第一作者：Zhang, Shigong

通信作者：Zhang, Shigong

机构：[1] College of Sciences, Guizhou Institute of Technology, Guiyang, China; [2] Guizhou Research Center for Multidisciplinary Conjunction of Medicine and Engineering, Guiyang, China

第一机构：贵州理工学院

会议论文集：2021 3rd International Conference on Computer Modeling, Simulation and Algorithm, CMSA 2021

会议日期：July 4, 2021 - July 5, 2021

会议地点：Shanghai, China

语种：英文

外文关键词：Acoustic wave propagation - Acoustic waves - Acoustics - Nonlinear equations - Wave equations

年份：2021

摘要：To the nonlinear acoustic wave equation, the general used second harmonic solution is not accurate enough because all perturbated expansion equations higher than the second order are ignored during the equation solving process. The purpose of this paper is to obtain a more accurate solution, i.e., the high-order perturbation approximate solution. Firstly, the nonlinear acoustic wave equation is expanded into many inhomogeneous partial differential equations. the low-order harmonic solutions are obtained manually, then we formulate the form of the high-order harmonic solutions according to the properties of the low-order harmonic solutions. Using symbol calculation tool, we finally obtained higher up to the 14th order perturbation special solutions. Odd order solutions contain only odd order harmonics, and even order solutions contain only even order harmonics. The high-order perturbation solution of the second harmonic is finally achieved by summing up all of the second harmonic solution parts. The simulation results show that the relative amplitude (A 2/A 1) of the second harmonic increases and then decreases with the propagation distance, which is in agreement with experimental results. The high-order perturbation approximated solution can compensate for the theory deficiency and can be used to measure the nonlinear parameter with a good precision. ? Published under licence by IOP Publishing Ltd.