Fluid-pipe coupling axis vibration characteristics induced by foundation vibration

In view of the effect of axial foundation vibration on pipe and fluid fluctuation, an axial coupling vibration mathematical model of direct hydraulic pipeline was used to deduce boundary conditions under four different pipe end constraints, and method of characteristics was adopted to study the fluid fluctuation in pipe induced by foundation vibration under different constraints. The influences of bound manner, restraint stiffness, foundation vibration parameters and structural parameters on pipe outlet pressure fluctuation amplitude were analyzed. The results indicate that the outlet pressure fluctuation amplitudes increase a lot respectively when export axial and entrance axial are free, compared with fixed constraints of both ends. And the greater the exit restraint stiffness is, the smaller the pressure fluctuation amplitude is; the higher vibration frequency is, the stronger fluid-solid interaction is; the pressure fluctuation amplitude increases linearly with the increase of foundation vibration amplitude; the longer the distance of fluid flowing through the pipe is, the severer the fluid fluctuating is. The analysis results could provide a theoretical basis for the formulation of corresponding pipe vibration control strategy.