Nonlinear dynamics and safety aspects of pressure relief valves

Abstract Direct spring operated pressure relief valves are regular elements of high-pressure hydraulic systems; however, valve vibrations may still occur endangering the and protected system. The damping these is a crucial issue, whereas external viscous at cannot be increased boundlessly based on safety aspects. emerge via Hopf bifurcations either super- or subcritical type, nonlinear characteristics have an important role in dynamics. Thorough analysis needed to guarantee safe operation. linear stability extended by local global bifurcation reveal stable domains bounded points possible bistabilities that exclude Afterwards, effect downstream pipe analysed, which can also carry risks literature; time delay originated wave propagation stabilising effects. presented system compares analytical, semi-analytical numerical results assigns parameter with respect wide range relevant variations.