CHAOTIC OSCILLATIONS OCCURRING IN A HYDRAULIC CIRCUIT

Digital Simulation and Experimental Study

Abstract

This paper deals with chaotic oscillationsoccuring in a hydraulic circuitconsisting of a poppet valve and a pipelineterminating at a constant pressure tank.The circuit with a long pipeline becomesunstable and various kinds of oscillationsare self-excited. In this study, it isshown by digital simulations that irregularsolutions are obtained from a deterministicmathematical model for the dynamics of thecircuit in addition to periodic or almostperiodic oscillations. The irregular solutionswhich are considered as a kind ofchaotic phenomena are classified into (a) period-doubling type, (b) Ruelle-Takenstype, and (c) intermittent type.
Experimental results are qualitatively in good agreement with theoretical ones.