Dynamics of axially functionally graded cantilevered pipes conveying fluid

2018 ◽  
Vol 190 ◽  
pp. 112-118 ◽  
Author(s):  
Xiao-wen Zhou ◽  
Hu-Liang Dai ◽  
Lin Wang
Keyword(s):  
Functionally Graded ◽  
Pipes Conveying Fluid ◽  
Conveying Fluid

scholarly journals Dynamics of axially functionally graded conical pipes conveying fluid

2021 ◽  
Vol 37 ◽  
pp. 318-326
Author(s):  
Yuzhen Zhao ◽  
Dike Hu ◽  
Song Wu ◽  
Xinjun Long ◽  
Yongshou Liu
Keyword(s):  
Natural Frequency ◽  
Critical Velocity ◽  
Volume Fraction ◽  
Differential Quadrature Method ◽  
Reduction Factor ◽  
Functionally Graded ◽  
Function Type ◽  
Pipes Conveying Fluid ◽  
Volume Fraction Function ◽  
Conveying Fluid

Abstract In this paper, the dynamics of axially functionally graded (AFG) conical pipes conveying fluid are analyzed. The materials are distributed along the conical pipe axis as a volume fraction function. Either the elastic modulus or the density of the AFG conical pipe is assumed to vary from the inlet to the outlet. The governing equation of the AFG conical pipe is derived using the Hamiltonian principle and solved by the differential quadrature method. The effects of the volume fraction index, volume fraction function type and reduction factor on the natural frequency and critical velocity are analyzed. It is found that for a power function volume fraction type, the natural frequency and critical velocity increase with increasing volume fraction index and clearly increase when the volume fraction index is within the range (0, 10). For an exponential function volume fraction type, the natural frequency and critical velocity change rapidly within the range (−10, 10), besides the above range the relationship between the natural frequency, critical velocity and volume fraction index is approximate of little change. The natural frequency and critical velocity decrease linearly with increasing reduction factor.

scholarly journals Frequency Analysis of Functionally Graded Curved Pipes Conveying Fluid

2016 ◽  
Vol 2016 ◽  
pp. 1-9 ◽  
Author(s):  
Feng Liang ◽  
Xiao-Dong Yang ◽  
Ri-Dong Bao ◽  
Wei Zhang
Keyword(s):  
Natural Frequencies ◽  
Flexural Rigidity ◽  
Sensitivity Study ◽  
Functionally Graded ◽  
Opening Angle ◽  
Curved Pipes ◽  
Free Vibration Frequency ◽  
Pipes Conveying Fluid ◽  
Curved Pipes Conveying Fluid ◽  
Conveying Fluid

The curved pipe made of functionally graded material conveying fluid is considered and the in-plane free vibration frequency of the resulting composite pipe is investigated. The material properties are assumed to distribute continuously along the pipe wall thickness according to a power law and the effective mass, flexural rigidity, and mass ratio are used in the governing equations. The natural frequencies are derived numerically by applying the modified inextensible theory. The lowest four natural frequencies are studied via the complex mode method, the validity of which is demonstrated by comparing the results with those in available literatures. A parametric sensitivity study is conducted by numerical examples and the results obtained reveal the significant effects of material distribution gradient index, flow velocity, fluid density, and opening angle on the natural frequencies of the FGM curved pipes conveying fluid.

A Hybrid Method for Transverse Vibration of Multi-Span Functionally Graded Material Pipes Conveying Fluid with Various Volume Fraction Laws

2017 ◽  
Vol 09 (07) ◽  
pp. 1750095 ◽  
Author(s):  
Jiaquan Deng ◽  
Yongshou Liu ◽  
Wei Liu
Keyword(s):  
Hybrid Method ◽  
Transverse Vibration ◽  
Present Method ◽  
Natural Frequencies ◽  
Volume Fraction ◽  
Fluid Velocity ◽  
Functionally Graded ◽  
Graded Material ◽  
Pipes Conveying Fluid ◽  
Conveying Fluid

Both functionally graded materials (FGMs) and fluid-conveying pipes have wide applications in engineering communities. In this paper, the transverse vibration and stability of multi-span viscoelastic FGM pipes conveying fluid are investigated. Volume fraction laws including power law, sigmoid law and exponential law are introduced to describe the variations of material properties in FGM pipes. A hybrid method which combines reverberation-ray matrix method and wave propagation method is developed to calculate the natural frequencies, and the results determined by present method are compared with the existing results in literature. Then, a comparative study is performed to investigate the effects of fluid velocity, volume fraction laws and internal damping on transverse vibration and stability of the FGM pipes conveying fluid. The results demonstrate that the present method has high precision in dynamic analysis of multi-span pipes conveying fluid. It is also found that natural frequencies of FGM pipes can be adjusted by devising the volume fractions laws. This particular feature can be tailored to fulfill the special applications in engineering.

Axially Functionally Graded Pipes Conveying Fluid

2020 ◽  
pp. 155-172
Author(s):  
Chen An ◽  
Menglan Duan ◽  
Segen F. Estefen ◽  
Jian Su
Keyword(s):  
Functionally Graded ◽  
Pipes Conveying Fluid ◽  
Conveying Fluid
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