Investigation of the Response of an Hydraulic Servomechanism with Inertial Load

Abstract
The linearized equations and transfer function for a hydraulic servomechanism are considered. It is shown that the simple first-order equation is inadequate to explain the behaviour of the device as observed experimentally. The solution of the third-order equation, obtainable by the inclusion of the effects of leakage and compressibility, provides a more accurate description of the behaviour. The theory is extended by means of an analogue computer to include the effects of Coulomb damping and to investigate the behaviour of the system when driven by a harmonic input. It is shown that the stabilizing effects of the Coulomb friction can be simulated by an equivalent viscous friction by increasing the leakage coefficient in the equations. The results of a series of experimental tests are included for comparison.

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