Effect of Cross-Sectional Area Discontinuities in Closed Hard-Walled Ducts on Frequency of Longitudinal Modes

被引：7
|
作者：
Meissner, Miroslaw [1 ]
机构：
[1] Polish Acad Sci, Inst Fundamental Technol Res, PL-02106 Warsaw, Poland
来源：
ARCHIVES OF ACOUSTICS | 2010年 / 35卷 / 03期
关键词：
longitudinal duct modes; discontinuity in duct cross-section; contraction ratio; ACOUSTIC WAVE-GUIDES; FIELD;
D O I：
10.2478/v10168-010-0034-0
中图分类号：
O42 [声学];
学科分类号：
070206 ; 082403 ;
摘要：
A simple analytical method is developed to estimate frequencies of longitudinal modes in closed hard-walled ducts with discontinuities in a cross-sectional area. The approach adopted is based on a general expression for the acoustic impedance for a plane wave motion in a duct and conditions of impedance continuity at duct discontinuities. Formulae for mode frequencies in a form of transcendental equations were found for one, two and three discontinuities in a duct cross-section. An accuracy of the method was checked by a comparison of analytic predictions with calculation data obtained by use of numerical implementation based on the forced oscillator method with a finite difference algorithm.
引用
收藏
页码：421 / 435
页数：15
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