Nonlinear Analysis of a Single Stage Pressure Relief Valve

G., Licsko, AR Champneys, C. Hos

Research output: Contribution to journalArticle (Academic Journal)peer-review

61 Citations (Scopus)


A mathematical model is derived that describes the dynamics of a single stage relief valve embedded within a simple hydraulic circuit. The aim is to capture the mechanisms of instability of such valves, taking into account both fluid compressibility and the chattering behaviour that can occur when the valve poppet impacts with its seat. The initial Hopf bifurcation causing oscillation is found to be either super- or sub-critical in different parameter regions. For flow speeds beyond the bifurcation, the valve starts to chatter, a motion that survives for a wide range of parameters, and can be either periodic or chaotic. This behaviour is explained using recent theory of nonsmooth dynamical systems, in particular an analysis of the grazing bifurcations that occur at the onset of impacting behaviour.
Translated title of the contributionNonlinear Analysis of a Single Stage Pressure Relief Valve
Original languageEnglish
Pages (from-to)286 - 299
Number of pages13
JournalIAENG International Journal of Applied Mathematics
Volume39 Issue 4
Publication statusPublished - 2009

Structured keywords

  • Engineering Mathematics Research Group


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