The author previously presented a method of analyzing the dynamic characteristics of pneumatic transmission lines with steady flow by dividing the lines into finite number of sections and connecting the characteristics of the sections each other. The transfer functions thus obtained, however, are too complicated to yield the relation between input and output signals.
Here, starting from the fundamental equations, transmission line matrices about pressure and mass flow are derived in the form which facilitates the comparison of the cases with and without steady flow. And moreover, by considering the effect of steady flow, terminal volume matrices are also derived.
By combining the above mentioned line and the terminal volume matrices, the dynamic characteristics of volume terminated pneumatic transmission lines with steady flow are analyzed.
Frequency characteristics derived by this method are compared with the experimental results and a good agreement have been obtained.