Abstract:Adopting the method of weighted residual, the natural frequencies of pipe conveying non-uniform axial fluid were calculated. 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 resonance reliability sensitivity was deduced from the weighted nonlinear response surface method and Monte-Carlo reliability sensitivity estimation. The example results show that the proposed method is reasonable, high efficiency and high precision. The research in this paper is valuable for anti-resonance design and reliability sensitivity estimation of pipe conveying non-uniform axial fluid.