A Consideration on Dynamic Characteristics of Pneumatic Conduit Systems with a Cylindrical Choke : Influence of the Position of a Cylindrical Choke

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We have considered from a point of view of the control engineering how the pressure wave propagates with a strain under the influence of the relative position of a cylindrical choke in pneumatic conduit systems. We have treated the pneumatic conduit systems as a lossless fluid line. When the position or a cylindrical choke locates on both sides also at the center of the conduit systems, the transfer function of the systems is expressed in the first type, that is, G(s)=1/(A cosh Ts+Bsinh Ts) and when the position locates at a distance of 1/4 or 3/4 from the in-put-end, the transfer function of the systems is expressed in the second type, that is, G(s)=1/{A cosn Ts+B(sinh Ts±sinhT/2s)}. As B is a function of the position of the choke in the conduit systems, the transfer function of the first type explains well the experimental results, also the case of an arbitrary position of the choke. Finally, we have shown that the shape of the pressure wave is obtained easily by a graphical method, that is, the figure of the reflection or transmission of the wave to the cylindrical choke.
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