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

Zhao Yuzhen,Liu Yongshou,Guo Qing,Li Baohui

doi:10.1155/2018/3980790

Abstract

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.

Highlights

Curved pipes conveying fluid are widely used in aerospace, aircraft, nuclear, petroleum, and ocean engineering
All kinds of uncertainties in fluid velocity, pressure, pipe geometry, and materials will lead to a large change on the natural frequency of the curved pipe conveying fluid through the fluid-structure interaction
When the natural frequency is close to the excitation frequency, this will lead to the resonance failure of pipes

Summary

Introduction

Curved pipes conveying fluid are widely used in aerospace, aircraft, nuclear, petroleum, and ocean engineering. It is essential and important to study the resonance reliability analysis of curved pipe conveying fluid. Ni Q. et al [3] have a lot of work in the dynamic researching of curved pipes They used the differential quadrature method (DQM) to study the semicircular pipe’s vibration and stability analysis. Mathematical Problems in Engineering spatially varying ground motions by using subset simulation Among these researches, only the single straight pipe was considered for calculating the resonance failure and local sensitivity analysis (LSA). This work is proposed for reducing the failure probability of curved pipes conveying fluid, so the global reliability sensitivity indices defined by Cui L.J.

Motion Equations

Resonance Reliability and GSA

Phtr hx

Example

Conclusion