Resonance reliability and importance measure analysis of multi-span pipe conveying fluid embedded in temperature-varying matrix

温度场下多跨输流管道共振可靠性及变量重要性测度分析

School of Mechanics, Civil Engineering and Architecture, Northwestern Polytechnical University, Xi’an 710072, China

Received: 11 March 2021

Abstract

Pipe system conveying fluid faces the problem of multi-order resonance failure caused by broadband excitation. For solving above problem, the dynamic stiffness method is employed to solve the dynamic equations of multi-span pipes considering the temperature effect. Combining the obtained natural frequency and the rule of resonance failure of pipe system, a multi-order anti-resonance system reliability model is established in this paper. To analyze the effect of input variable uncertainty on the probability of system resonance failure, the variance-based importance measurement index is further established. By introducing the active learning Kriging (ALK) model, the resonance failure probability and importance measurement index can be calculated efficiently. The effects of fluid flow velocity, pressure and temperature on the probability of pipe resonance failure are analyzed in detail, which has significant guidance for the anti-resonance optimization design of pipes.

摘要

输流管道面临宽频激励导致的复杂多阶共振失效问题。为解决该问题，采用动刚度法对考虑温度效应的多跨输流管道动力学方程进行了求解，基于得到的固有频率，结合共振失效规律建立了多阶防共振系统可靠性分析模型。为分析输入变量不确定性对系统共振失效概率的影响程度，进一步建立了输入变量方差重要性测度指标，并通过引入主动学习Kriging（ALK）模型实现了共振失效概率和重要性测度指标的高效求解。通过算例，分析了液体流速、压强和温度效应对输流管道共振失效概率的影响规律，结果对于输流管道防共振优化设计具有重要指导意义。