The Resonance Reliability and Global Sensitivity Analysis of Curved Pipe Conveying Fluid Based on TIS Method

Based on the Flügge curved beam theory and total inextensible assumption, the dynamic equations of curved pipe’s in-plane vibration are established using the Newton method. The wave propagation method is proposed for calculating the natural frequency of curved pipes with clamped-clamped supported at both ends. Then, the performance function of the resonance reliability of curved pipe conveying fluid is established. Main and total effect indices of global sensitivity analysis (GSA) are introduced. The truncated importance sampling (TIS) method is used for calculating these indices. In the example, the natural frequency and critical velocity of a semicircular pipe are calculated. The importance ranking of input variables is obtained at different working conditions. The method proposed in this paper is valuable and leads to reliability estimation and antiresonance design of curved pipe conveying fluid.

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Dynamic reliability and variance-based global sensitivity analysis of pipes conveying fluid with both random and convex variables

Engineering Computations ◽

10.1108/ec-06-2020-0299 ◽

2020 ◽

Vol ahead-of-print (ahead-of-print) ◽

Author(s):

Bingqian Chen ◽

Anqiang Wang ◽

Qing Guo ◽

Jiayin Dai ◽

Yongshou Liu

Keyword(s):

Sensitivity Analysis ◽

Global Sensitivity Analysis ◽

Working Environment ◽

Engineering Practice ◽

Convex Model ◽

Content Type ◽

Dynamic Reliability ◽

Global Sensitivity ◽

Pipes Conveying Fluid ◽

Conveying Fluid

Purpose This paper aims to solve the problem that pipes conveying fluid are faced with severe reliability failures under the complicated working environment. Design/methodology/approach This paper proposes a dynamic reliability and variance-based global sensitivity analysis (GSA) strategy with non-probabilistic convex model for pipes conveying fluid based on the first passage principle failure mechanism. To illustrate the influence of input uncertainty on output uncertainty of non-probability, the main index and the total index of variance-based GSA analysis are used. Furthermore, considering the efficiency of traditional simulation method, an active learning Kriging surrogate model is introduced to estimate the dynamic reliability and GSA indices of the structure system under random vibration. Findings The variance-based GSA analysis can measure the effect of input variables of convex model on the dynamic reliability, which provides useful reference and guidance for the design and optimization of pipes conveying fluid. For designers, the rankings and values of main and total indices have essential guiding role in engineering practice. Originality/value The effectiveness of the proposed method to calculate the dynamic reliability and sensitivity of pipes conveying fluid while ensuring the calculation accuracy and efficiency in the meantime.

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Resonance risk and global sensitivity analysis of a straight–curved combination pipe based on active learning Kriging model

Advances in Mechanical Engineering ◽

10.1177/1687814019838353 ◽

2019 ◽

Vol 11 (3) ◽

pp. 168781401983835

Author(s):

Yuzhen Zhao ◽

Yongshou Liu ◽

Qing Guo ◽

Tao Han ◽

Baohui Li

Keyword(s):

Sensitivity Analysis ◽

Active Learning ◽

Coordinate System ◽

Failure Probability ◽

Global Sensitivity Analysis ◽

Dynamic Stiffness ◽

Kriging Model ◽

Global Sensitivity ◽

Pipes Conveying Fluid ◽

Conveying Fluid

The resonance failure of straight–curved combination pipes conveying fluid which are widely used in engineering is becoming a serious issue. But there are only few studies available on the resonance failure of combination pipes. The resonance failure probability and global sensitivity analysis of straight–curved combination pipes conveying fluid are studied by the active learning Kriging method proposed in this article. Based on the Euler–Bernoulli beam theory, the dynamic stiffness matrices of straight and curved pipes are derived in the local coordinate system, respectively. Then the dynamic stiffness matrix and characteristic equation of a straight–curved combination pipe conveying fluid are assembled under a global coordinate system. The natural frequency is calculated based on the characteristic equation. A resonance failure performance function is established based on the resonance failure mechanism and relative criterions. The active learning Kriging model based on expected risk function is introduced for calculating the resonance failure probability and moment-independent global sensitivity analysis index. The importance rankings of input variables are obtained with different velocities. According to the results, it is shown that the method proposed in this article provides a lot of guidance for resonance reliability analysis and anti-resonance design in combination pipes conveying fluid.

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Improved resonance reliability and global sensitivity analysis of multi-span pipes conveying fluid based on active learning Kriging model

International Journal of Pressure Vessels and Piping ◽

10.1016/j.ijpvp.2019.01.016 ◽

2019 ◽

Vol 170 ◽

pp. 92-101 ◽

Cited By ~ 6

Author(s):

Qing Guo ◽

Yongshou Liu ◽

Yuzhen Zhao ◽

Baohui Li ◽

Qin Yao

Keyword(s):

Sensitivity Analysis ◽

Active Learning ◽

Global Sensitivity Analysis ◽

Kriging Model ◽

Global Sensitivity ◽

Pipes Conveying Fluid ◽

Conveying Fluid

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Dynamic Reliability and Global Sensitivity Analysis for Hydraulic Pipe Based on Sparse Grid Integral Method

Journal of Pressure Vessel Technology ◽

10.1115/1.4044403 ◽

2019 ◽

Vol 141 (6) ◽

Author(s):

Guo Qing ◽

Lv Tangqi ◽

Liu Yongshou ◽

Chen Bingqian

Keyword(s):

Sensitivity Analysis ◽

Global Sensitivity Analysis ◽

Random Variable ◽

Sparse Grid ◽

Working Environment ◽

Cumulative Distribution ◽

Sensitivity Index ◽

Dynamic Reliability ◽

Curved Pipe ◽

Global Sensitivity

Abstract Due to the extremely rough working environment, aero-hydraulic pipes face serious dynamic failure problems in applications for practical engineering. This paper proposes a dynamic reliability and moment-independent global sensitivity analysis (GSA) method to evaluate the dynamic reliability and the effects of random input variables on the dynamic reliability of aero-hydraulic pipes. Based on the Miner criterion for the cumulative damage of structural fatigue, this paper establishes the dynamic reliability analysis method under the condition of double random vibration. In order to further analyze the influence of the uncertainty of each random variable of pipe on its dynamic reliability, a moment-independent global sensitivity index for dynamic reliability based on cumulative distribution function is proposed in this paper. The index can reflect the effects of random variables on dynamic reliability quantitatively. Based on the proposed GSA method of dynamic reliability, a sparse grid integral (SGI) method is introduced to solve the dynamic reliability and moment-independent global sensitivity index, with high computational efficiency. Finally, the effects of clamp supports, diameters, and curvature of curved pipe on the dynamic reliability and GSA are analyzed through a hydraulic piping example.

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