Graphical calculation method using the smith chart for analyzing the frequency response of pneumatic transmission line systems.

Abstract

It is difficult, even for an expert to envisage the frequency response characteristics of pneumatic transmission line systems for an arbitrary terminal condition before the actual calculations are performed, because the equations are very complicated. On the other hand, the graphical method, called the Smith chart, is often used for analyzing frequency response of electric transmission lines, whose characteristics are described by a similar wave equation. Referring to this method, the author proposes a graphical method to calculate the frequency response of pneumatic transmission line systems. The method uses reflection coefficients and mapping. Computer display facilitates understanding of the calculation. The new method provides significant insight for analyzing and designing pneumatic transmission line systems. It becomes easy, even for a beginner, to understand the frequency response of pneumatic transmission line systems.