Abstract:Adopting the method of weighted residual, the natural frequencies of pipe conveying fluid were calculated and the influences of the fluid velocities on the natural frequencies were analyzed. In the process of analyzing, the trial function was also constituted via the order Galerkin truncation. After establishing the performance function of the resonance reliability of pipe conveying fluid, the first four moments of performance function were determined by the point estimation method and the resonance reliabilities were obtained using the modified Edgeworth expansion. Then, the relationship between the fluid velocities and the resonance reliabilities was also presented. This research in this paper is valuable for anti-resonance design and reliability estimation of pipe conveying fluid.