热声网络的辛对称特征

Symplectic symmetry feature of thermoacoustic network

将辛数学引入热声系统网络模型的处理,通过对热声系统网络传输矩阵的分析,证明系统中等温流体管道内工质运动的传输矩阵为辛矩阵.存在温度梯度的热声回热器中气体工质微团的传输矩阵不是辛矩阵,但是可以通过变量代换将传输矩阵转换为辛矩阵,使整个热声系统网络传输都可用辛矩阵传输来表示.辛对称的形式有助于热声系统网络模型的分析与计算.

Symplectic mathematics is introduced into the thermoacoustic network model.The transferring matrix of thermoacoustic system is analyzed,and the transferring matrix of working gas in isothermal fluid pipe of thermoacoustic system is a symplectic matrix.The transferring matrix of working gas in regenerator of thermoacoustic system is not a symplectic matrix,but it can be converted into a symplectic matrix by variable transformation.With variable transformation,the whole transferring matrix of thermoacoustic system can be represented by a symplectic matrix.The form of symplectic matrix is conducible to analyzing and calculating the thermoacoutic network model.