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物理学报  2011 

Symplectic symmetry feature of thermoacoustic network
热声网络的辛对称特征

Keywords: symplectic,thermoacoustic,network model,transferring matrix
,热声,网络模型,传输矩阵

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Abstract:

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.

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