Wei Ma This email address is being protected from spambots. You need JavaScript enabled to view it.1, Weidong Song1 and Linbin Qiu2

1School of Civil and Resource Engineering, University of Science and Technology Beijing, Beijing 100083, P.R. China
2School of Mechanical Engineering, University of Science and Technology Beijing, Beijing 100083, P.R. China 


Received: February 22, 2019
Accepted: March 6, 2019
Publication Date: June 1, 2019

Download Citation: ||https://doi.org/10.6180/jase.201906_22(2).0014  


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.

Keywords: Pressure Relief Valve, Dynamic Instability, Lyapunov Exponent, Bifurcation


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