A new analytical method to investigate the vibrational behavior of fluid embedded pipe

Authors

Abstract

In this paper, an analytical method based on the power series is proposed for vibration analysis of a pipe conveying fluid. By applying the proposed method to the equation governing the lateral vibration of a pipe conveying fluid and considering the boundary conditions, the frequency equation of the system is derived. It is shown that the frequency equation is a function of the geometric dimensions, mechanical properties of the pipe and the density and velocity of the fluid. The results show that by increasing the fluid flow velocity, the natural frequencies of the pipe decrease, and when the fluid velocity approaches to the critical velocity, the fundamental natural frequency approaches zero, and instability occurs. Also, the results have been validated by thos reported in the literature. There is a good agreement between the results obtained through the proposed method and the experimental data reported in the literature.

Keywords


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