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In this paper, the response of a pneumatic transmission line is analysed through two different approaches. Both the approaches, based on the same physical model, are able to simulate the dynamics of a pneumatic line, with finite volume ends. The first approach analytically provides the transients through an equation in a quasi-closed form; the second approach is based on a numerical procedure yielding the inversion of the Laplace transform by the application of a trapezoidal rule. The analysis of the mutual performances of the two approaches, in the frame of pneumatic systems normally operating in industrial automation, can be useful in terms of control of the response and could assist in the design of pneumatic systems.

AN ANALYTICAL AND NUMERICAL STUDY OF PRESSURE TRANSIENTS IN PNEUMATIC DUCTS WITH FINITE VOLUME ENDS