Analysis of resonance reliability sensitivity for pipes conveying non-uniform axial fluid

By means of the weighted residual, the natural frequencies of pipe conveying non-uniform axial fluid are calculated. In the process of analyzing, the trial function is also constituted via the order Galerkin truncation: After establishing the performance function of the resonance reliability of pipe conveying fluid, the resonance reliability sensitivity is 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 efficient and high precise. The research in this paper is valuable for anti-resonance design and reliability sensitivity estimation of pipe conveying non-uniform axial fluid.