Abstract

ABSTRACT To improve the stability of pressure relief valve, a physical model of relief valve was proposed in this research by considering fluid compressibility, tubes elasticity and energy loss when valve core collides with its seat. A dimensionless dynamic mathematic model of the relief valve was established to perform the analysis of linear stability and Lyapunov exponent. Phase and vector field diagrams were drawn with four dimensionless pre-compressed parameters. The stable equilibrium states of a pipeline system were obtained. One-parameter and two-parameter bifurcation diagrams were drawn using the non-smooth dynamic system theory and XPPAUT software. The results showed that there were Hopf bifurcation, generalized Hopf bifurcation and cusp bifurcation in the pipeline system.

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