The dynamic reliability of the pipe conveying fluid was analyzed by a refined response surface method (RSM) in this study. In the refined RSM, a new response surface expression was proposed based on functional variables with the physical characteristics of basic random variables. The sampling points were located on Gauss Hermite integration points along the coordinate axes of standard normal random variables. The response surface was constituted via an iterative strategy, in which the information of the sampling points could be utilized richly. On the other hand, Hamilton’s principle for open systems was applied to formulate the motion equations of the pipe conveying non-uniform axial fluid. The proposed RSM was used to analyze the dynamic reliability and sensitivity of the pipe conveying non-uniform axial fluid. As shown in the numerical results, the refined response surface method leads to the better approximation of the nonlinear limit state function, higher precision and better stability of the failure probability estimation, especially for the dynamic reliability analysis of the pipe conveying fluid.
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