NUMERICAL ANALYSIS FOR STABILITY OF BALANCED PISTON TYPE RELIEF VALVE

Abstract

This paper deals with the stability of a relief valve of balanced piston type. Governing equations of 9th order and its linearized form, x = Ax, are derived and the cracking characteristics and the stability are numerically investigated. The theoretical cracking characteristics of the relief valve is indicated to be in good agreement with experimental results. The characteristic equation, (sI-A) = 0, is solved numerically and the stability of the system including supply line dynamics is examined by the signs of the real parts of characteristic roots. It is pointed out that the pilot valve stability governs in the system stability.