Analytical Study of Quasilinear Self-Oscillations in the Helmholtz Resonator

被引：1
|
作者：
Akulenko, L. D.
Nesterov, S. V.
机构：
来源：
FLUID DYNAMICS | 2004年 / 39卷 / 03期
基金：
俄罗斯基础研究基金会;
关键词：
Helmholtz resonator; thermogasdynamic model; quasilinear self-oscillations; averaging method;
D O I：
10.1023/B:FLUI.0000038554.96708.5d
中图分类号：
O3 [力学];
学科分类号：
08 ; 0801 ;
摘要：
A quasilinear model of the self-oscillations in the Helmholtz resonator is developed. The conditions of existence, uniqueness, and stability of periodic solutions are determined using the Lyapunov-Poincare, local integral manifold, and averaging methods. In the first approximation, the basic parameters of the self-oscillations are calculated and their qualitative features are studied. A thermodynamic interpretation of the gas self-oscillations in the resonator is given.
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页码：358 / 366
页数：9
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