Dynamic Behavior of Axially Functionally Graded Pipes Conveying Fluid

Chen An,Jian Su

doi:10.1155/2017/6789634

Abstract

Dynamic behavior of axially functionally graded (FG) pipes conveying fluid was investigated numerically by using the generalized integral transform technique (GITT). The transverse vibration equation was integral transformed into a coupled system of second-order differential equations in the temporal variable. TheMathematica’s built-in function, NDSolve, was employed to numerically solve the resulting transformed ODE system. Excellent convergence of the proposed eigenfunction expansions was demonstrated for calculating the transverse displacement at various points of axially FG pipes conveying fluid. The proposed approach was verified by comparing the obtained results with the available solutions reported in the literature. Moreover, parametric studies were performed to analyze the effects of Young’s modulus variation, material distribution, and flow velocity on the dynamic behavior of axially FG pipes conveying fluid.

Highlights

Pipelines conveying fluid exist widely in many application fields, in nuclear power plants, chemical plants, aeronautic, oil transportation, water supply, heat exchanger devices, human circulation, and so forth
Sheng and Wang [24] reported the result of an investigation into the coupled vibration characteristics of fluid-filled functionally graded cylindrical shells, while Hosseini and Fazelzadeh [26] investigated the thermomechanical stability of functionally graded thin-walled cantilever pipes conveying flow and loading by compressive axial force
Both of the above-mentioned investigations assumed that the material properties vary along the thickness direction of pipes; dynamic behaviors of axially functionally graded systems should be concerned, as reported by [29,30,31,32,33,34]

Summary

Introduction

Pipelines conveying fluid exist widely in many application fields, in nuclear power plants, chemical plants, aeronautic, oil transportation, water supply, heat exchanger devices, human circulation, and so forth. Sheng and Wang [24] reported the result of an investigation into the coupled vibration characteristics of fluid-filled functionally graded cylindrical shells, while Hosseini and Fazelzadeh [26] investigated the thermomechanical stability of functionally graded thin-walled cantilever pipes conveying flow and loading by compressive axial force Both of the above-mentioned investigations assumed that the material properties vary along the thickness direction of pipes; dynamic behaviors of axially functionally graded systems (structures with material graduation through the longitudinal directions) should be concerned, as reported by [29,30,31,32,33,34].

Mathematical Formulation

Integral Transform Solution

Results and Discussion

Conclusions