Dynamic behaviors of multi-span viscoelastic functionally graded material pipe conveying fluid

Abstract

In this paper, the dynamic behaviors of a multi-span viscoelastic functionally graded material pipe conveying fluid are investigated by dynamic stiffness method. The material properties of the functionally graded material pipe are considered as graded distribution along the thickness direction according to a power-law. Several numerical examples are performed to study the effects of volume fraction exponent, fluid velocity, internal pressure, and internal damping on the stability and frequency response of the fluid-conveying functionally graded material pipe. It's found that the viscoelastic functionally graded material pipe exhibits some special dynamic behaviors and it could increase the stability significantly when compared with the aluminum and steel pipes. The numerical results also demonstrate that by the introduction of the functionally graded material, the stiffness of the piping system could be modulated easily by designing the volume fraction function. Therefore, if the dominant frequency contents of the external loads are known, a preferable design of the functionally graded material pipe to reduce the vibration is possible.

Instability Analysis of Fluid-Conveying Functionally Graded Thin-Walled Pipes on Random Elastic Foundations

“…[12] studied the transverse motion of fluid-conveying FG pipes by using a symplectic method. Considering the viscoelastic properties, the vibrations characteristics of FG fluid-conveying pipes are investigated by Deng [13] . Bahaadini [14] investigated the dynamics stability of rotating pipes conveying axial flow which is stiffed with FG carbon nanotubes.…”

The effect of two cases of temperature distributions on vibration of fluid-conveying functionally graded thin-walled pipes

“…13 The transverse vibration of fluidconveying FG pipes is examined by Wang and Liu. 14 The dynamics analysis of viscoelastic FG pipes conveying fluid is examined by Deng et al 15 To the authors' knowledge, much attention is paid to the case that the outer temperature of an FG pipe is higher than that of the inside one in previous researches. 13 In engineering applications, there are many cases where the inside temperature of an FG pipe is higher than that of the outer one.…”

“…13 The transverse vibration of fluid-conveying FG pipes is examined by Wang and Liu. 14 The dynamics analysis of viscoelastic FG pipes conveying fluid is examined by Deng et al 15…”

The effect of two-parameter of Pasternak foundations on the dynamics and stability of multi-span pipe conveying fluids

“…The effects of fluid velocity, volume fraction laws, and internal damping are analyzed. Deng 17 used the dynamic stiffness method for analyze the dynamic behaviors of a multi-span viscoelastic functional graded material pipe conveying fluid which is a seven span pipe with 40 m long. The natural frequency, critical velocity, critical pressure, and frequency responses are determined by the dynamic stiffness method.…”

“…Multi-span pipelines have also been applied to new materials such as functional graded material pipe. [16][17][18][19] Deng 16 proposed a hybrid method which combines reverberation-ray matrix method and wave propagation method for analyze the transverse vibration and stability of multi-span viscoelastic function graded material pipes conveying fluid. The effects of fluid velocity, volume fraction laws, and internal damping are analyzed.…”