摘要
由于声波在大气中传播特性处理的数学复杂性,求耦合方程组解析解的工作已很少见.本文首次将NMA(Normal Mode Analysis)和同伦分析方法(HAM,Homotopy Analysis Method)相结合对考虑风和粘滞因素的耦合方程组进行解析解的求解.首先由基本控制方程推导了运动粘滞大气中的耦合方程组,通过匀质无风的耦合方程组,对声波在大气中衰减特性和相速度进行了分析,之后利用NMA对其进行了解析解求解,并将其作为初始近似,利用同伦分析方法对有风、粘滞分层大气中的耦合方程组进行了三阶近似解析解的求解,最后进行了数值模拟.结果表明,由于多种大气要素的影响,随着传播距离的增加,声压峰值越小,且频率越大衰减越快,因此风和粘滞特性是影响近地面声波传播特性的重要因素.
Due to mathematical complexity to process acoustic wave propagation in the atmospheric, the work of the analytic solutions for coupled equations set was very rare. Normal mode analysis and the ho- motopy analysis method were firstly coinbined to solve analytic solutions of the coupled equations set in a viscous, windy atmosphere. Firstly, the coupled equations set were deduced from the government e- quations, the attenuation characteristics and phase velocity were analyzed by the coupled equations set in the uniform and no wind atmosphere, and the analytical solutions of the equations set were solved by normal mode analysis,meanwhile the analytical solutions were used to initial approximations, the 3rd-or- der approximation analytical solutions of the coupled equations set in a windy and viscous atmosphere were obtained by homotopy analysis method. The numerical simulation indicates that due to the influ- ence of the variety of atmospheric elements, the sound pressure peak value is smaller and bigger frequencies have faster attenuation with the increase of propagation distance, so the wind and viscous properties are the important factors that affect near surface acoustic wave propagation characteristics.
作者
纪娟娟
郭业才
张兰芳
JI Juan-Juan GUO Ye-Cai ZHANG Lan-Fang(College of Atmospheric Science, Nanjing University of Information Science & Technology, Nanjing 210044, China School of Physics and Electronic Engineering, Anqing Normal University, Anqing 246133, China College of Electronic and Information Engineering, Nanjing University of Information Science Technology, Nanjing 210044, China)
出处
《四川大学学报(自然科学版)》
CAS
CSCD
北大核心
2016年第6期1283-1289,共7页
Journal of Sichuan University(Natural Science Edition)
基金
全国优秀博士论文作者专项资金(200753)
江苏省高校自然科学基金(13KJA510001)
江苏省高校科研成果产业化推进项目(JHB 2012-9)
江苏省高校"信息与通信工程"优势学科建设工程资助项目
江苏省普通高校研究生科研创新项目(KYLX15_0873)