基于ALK解法的输流管道防共振可靠性分析

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振动与冲击 ›› 2019, Vol. 38 ›› Issue (17) : 238-243.

论文

郭庆刘永寿白雅洁陈翔宇

作者信息 +

Reliability analysis for anti-resonance of pipelines conveying fluid based on ALK

GUO Qing, LIU Yongshou, BAI Yajie, CHEN Xiangyu

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文章历史 +

摘要

输流管道广泛应用于航空航天等工业领域，宽频激励下的共振失效是引起管道破坏的重要原因。采用Euler- Bernoulli梁模型建立了输流管道控制方程，使用Galerkin加权余量法将振动控制高阶微分方程转化为N阶线性方程组，求得了N阶输流管道固有频率，并根据激振力上下界频率建立了防共振可靠性功能函数。考虑到功能函数为隐式，建立了基于主动学习的Kriging解法(Active Learning Kriging, ALK) 的输流管道防共振可靠性分析方法，得到了输流管道共振失效概率，分析了管道参数、液体流速等对管道共振失效的影响。计算结果对于输流管道的防共振设计和优化具有重要意义。

Abstract

Pipelines conveying fluid are widely used in aerospace and other industrial fields.Resonance failure under wide-band excitation is an important reason to cause pipeline damage.Here, Euler-Bernoulli beam model was used to establish the governing equation of vibration for a pipeline conveying fluid.Galerkin weighted residual method was employed to convertits governing higher-order differential equation of vibration into a N-order linear equationset.After solving this linear equation set, N-order natural frequencies of the pipeline were obtained.According excitation force’supper and lower bound frequencies,the pipeline’s anti-resonance reliability function was built.As this function was implicit, the anti-resonance reliability analysis method for the pipeline conveying fluid based on the active learning Kriging (ALK)was proposed to acquire the resonance failure probability of the pipeline.Effects of pipeline parameters, fluid flow velocity,etc.on the pipeline’s resonance failure were analyzed.The calculation results showed that the proposed anti-resonance reliability analysis methodis of importance for anti-resonance design and optimization of pipelines conveying fluid.

导出引用

郭庆刘永寿白雅洁陈翔宇. 基于ALK解法的输流管道防共振可靠性分析[J]. 振动与冲击, 2019, 38(17): 238-243

GUO Qing, LIU Yongshou, BAI Yajie, CHEN Xiangyu. Reliability analysis for anti-resonance of pipelines conveying fluid based on ALK[J]. Journal of Vibration and Shock, 2019, 38(17): 238-243

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