计算物理 ›› 1993, Vol. 10 ›› Issue (4): 456-466.

• 论文 • 上一篇    下一篇

具有平均流的膨胀腔声学特性的三维边界元分析

季振林, 马强, 张志华   

  1. 哈尔滨船舶工程学院动力工程系, 哈尔滨 150001
  • 收稿日期:1992-05-29 修回日期:1993-03-15 出版日期:1993-12-25 发布日期:1993-12-25

APP LICATION OF THE BOUNDARY ELEMENT METHOD TO THREE-DIMENSIONAL ANALYSIS FOR ACOUSTIC CHARACTERISTICS OF EXPANSION CHAMBER WITH MEAN FLOW

Ji Zhenlin, Ma Qiang, Zhang Zhihua   

  1. Harbin Shipbuilding Engineering Institute, Haerbin
  • Received:1992-05-29 Revised:1993-03-15 Online:1993-12-25 Published:1993-12-25

摘要: 本文将边界元法应用于具有平均流的管道及膨胀腔声学特性的三维分析,获得了具的平均流介质中声传播问题的边界积分方程和基本解。采用九节点二次等参单元离散边界表面并对物理量插值,对奇异积分采用极坐标变换法和间接法联合来消除奇异性,在棱边角点处区分不同方向的质点振速。文中对有无平均流时直管的四极参数及膨胀腔的传递损失进行了计算,并与一维理论及其它方法计算结果进行了比较。

关键词: 边界元法, 膨胀腔, 声学特性, 平均流, 三维效应

Abstract: The boundary element method is applied to analyse three-dimensional acoustic characteristics of ducts and expansion chambers with mean flow, The boundary integral equation and fundamental solution of wave propagation in the presence of mean flow have been obtaind. The nine nodes quadratic isoparametric elements areused to discretize boundary surface. The polar coordinate transformation method and indirect method are jointly used to treat singular integration problem, the different partical vibrating velocities are supposed at points of corner, the four-pole parameters of a stright duct and transmission loss of an expansion chamber with and without mean flow have been calculated and compared with results obtained by means of one-dimentional theory and other methods.

Key words: boundary element method, expansion chamber, acoustic characteristics, mean flow, three-dimensional effect