热声网络的辛矩阵分析  

Symplectic matrix analysis of thermoacoustic network

作　　者：吴锋[1] 汪拓[1] 费锦华[1] 林杰[1] 杨志春[2] 

机构地区：[1]武汉工程大学机电工程学院,湖北武汉430073 [2]海军驻武汉438厂军事代表室,湖北武汉430064

出　　处：《热科学与技术》2013年第4期283-289,共7页Journal of Thermal Science and Technology

基　　金：国家自然科学基金资助项目(51176143);武汉工程大学研究生教育创新基金资助项目(CX201228)资助项目

摘　　要：对热声分布参数网络模型的传输矩阵进行了辛对称分析。在辛对称的基础上,将传输矩阵转化为阻抗矩阵,利用瑞利商式分析了热声系统各部件的最小本征阻抗,结果表明,阻抗矩阵的最小本征阻抗反映了最小网络损耗。数值计算了回热器和谐振管的结构对最小本征阻抗的影响,并根据计算结果提出了降低最小网络损耗的方法。The sympleetic symmetry feature of the transferring matrix in thermoacoustic distributed parameter network is analyzed. Based on that, the minimum eigen-impedance is analyzed with utilizing the Rayleigh quotient by transform the transferring matrix into the impedance matrix, The results show that the minimum network power loss can be reflected by the minimum eigen-impedance of impedance matrix. The influences of the structure of regenerator and resonator on the minimum eigen-impedance are investigated by numerical calculation. And the methods of reducing the minimum network power loss are proposed based on that. A new idea is provided to analyze the thermoacoustic network and optimal design a thermoacoustie system by introduced the symplectic mathematics.

关 键 词：辛 热声 网络模型 网络损耗 

分 类 号：O302[理学—力学] TK11[动力工程及工程热物理—热能工程]