Study on the Self-Sustained Oscillation of a Piston-Type Valving System : 1st Report, Analysis of a Simple Valving System and Some Experiments

Abstract

In this report, the self-sustained oscillation due to the interaction between the spool motion and the oil column dynamics is studied, from the analytical and experimental view points. Here the simple valving system, in which a piston-type valve is connected to one end of a straight conduit being terminated at its upstream end by a large reservoir, is treated. And through analysis, a method of evaluating the stability of the system is derived and the frequncies of sustained oscillation are obtained by examination of a characteristic equation of the system. Furthermore the features of the sustained oscillations (limit cycles, or periodic solutions) are derived by manipulating a set of fundamental equations of the system. These theoretical results are checked by the experiments. And the phenomena are fairly clarified.