Vibration analysis of the fluid-structure  interaction in water hammer

In consideration of the problem that the effect of conduit structure on water hammer has been ignored in the classical theory, the Poisson coupling between the fluid and the pipeline was stu died and a fourteen equation mathematical model of fluid-structure interaction (FSI) was developed in this paper. Then, the transfer matrix method (TMM) was used to calculate the modal frequency, modal shape and frequency response. The results were compared with that in experiment to verify the correctness of the TMM and the results show that the fluid-structure coupling has a greater impact on the modal frequencies than the modal shape. Finally, the influence on the response spectrum of diffe rent damping ratios was studied and the results showed that the natural frequency under different dam ping ratios has changed little but there is a big difference for the pressure spectrum. With the decrease of damping ratio, the damping of the system on frequency spectrum is more and more significant and the dispersion and dissipation is more and more apparent. So the appropriate damping ratio should be selected to minimize the effects of the vibration of the FSI.