摘要
本文中给了非线性行波和驻波的严格解，并用于包括热声堆和温度梯度的复合管中。管的特性由其截面积和波数表示，后者常为复数，反映管中相速和损耗。求出了各种管形，包括热声堆的波数值。在另一方面，温度梯度也是重要的非线性来源，也包括在非线性解中。在正梯度中传播的声波将被放大，否则衰减。可用级联滤波器的分析方法解包括多节特性不同的复合管，求得其特性。以三节为例证明此法甚易扩展到多节。这是求得整个热声系统演绩的基础。
Nonlinear sound wave propagation is solved rigorously for progressive and standing waves and applied to composite tubes including thermoacoustic stacks with temperature gradient. The tube is characterized by its cross-sectional area and wave number, the latter is usually complex, representing the phase velocity and dissipation. These are found for tubes of different configurations, including thermoacoustic stacks. On the other hand, the temperature gradient contributes important nonlinearity to the tube, and, as such, is included in the solution of the nonlinear wave equation. It is found that the sound waves propagating in the direction of increasing temperature are amplified and conversely. Composite tubes containing sections of different characters are treated as cascade wave filters to find their performances. A three-section tube is computed, extension can be done with ease. The results provide the basis on which the performance of the whole thermoacoustic system can be predicted
出处
《声学学报》
EI
CSCD
北大核心
1999年第5期449-462,共14页
Acta Acustica
基金
国家自然科学基金
