Natural vibration analysis of a pipe conveying fluid modeled with different engineering theories

In this study, the transverse of free vibration of pipes conveying fluid, which has two hinged ends has been examined to show the effect of varied beam models on pipes dynamic behaviors. Pipes have been modeled as a beam while analyzing the vibration. Euler-Bernoulli, Rayleigh and Shear beam theories are utilized to obtain equations of motion. Dynamic behaviour of fluid is expressed by Euler's Equation. The equation of motion of the pipe conveying fluid is generated by combining the equations with the approach based on the fluid-structure interaction. The equation of motion has been reduced to a single equation for Shear pipe model (SPM). The relation between the mass ratio, fluid velocity and natural vibration frequency is presented for Euler-Bernoulli pipe model (EBPM). The effect of the slenderness ratio is investigated for the Rayleigh pipe model (RPM). For the Shear pipe model (SPM), the natural vibration frequency values that change with the fluid velocity are given with graphics and tables, considering the mass ratio and shear stiffness. At the end of the study, the results of all pipe models are compared and discussed.