Effects of longitudinal fins on dynamic stability of pipes conveying fluid made of functionally graded material

Functionally graded material (FGM) has an important application prospect in aircraft engineering, especially in smart aircraft. The dynamic behavior of FGM has been widely investigated so far but more work is needed for the porous FGM pipes conveying fluid. In this paper, a sensible pore distribution function related with the volume fraction of metal and ceramic is proposed for the dynamic modeling of porous FGM pipes conveying fluid. The maximum porosity and its corresponding position are taken into account in the present mechanical model. The material properties of the porous pipes are temperature dependent and can be affected by pore distribution. The governing equation of the porous FGM pipe is derived and then the exact solution of post buckling is obtained. The nonlinear primary resonance is determined by the multiple scale method. It is shown that the effect of the pore distribution is very significant on the post buckling behavior and nonlinear primary resonance of the porous FGM pipes. The current work is very helpful in understanding the influence of pore distribution on static and dynamic behavior of pores FGM structures in engineering practice.

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Stability analysis of multi-span viscoelastic functionally graded material pipes conveying fluid using a hybrid method

European Journal of Mechanics - A/Solids ◽

10.1016/j.euromechsol.2017.04.003 ◽

2017 ◽

Vol 65 ◽

pp. 257-270 ◽

Cited By ~ 41

Author(s):

Jiaquan Deng ◽

Yongshou Liu ◽

Zijun Zhang ◽

Wei Liu

Keyword(s):

Stability Analysis ◽

Functionally Graded Material ◽

Hybrid Method ◽

Functionally Graded ◽

Graded Material ◽

Pipes Conveying Fluid ◽

Conveying Fluid

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Stability of clamped-clamped periodic functionally graded material shells conveying fluid

Journal of Vibration and Control ◽

10.1177/1077546313520026 ◽

2014 ◽

Vol 21 (15) ◽

pp. 3034-3046 ◽

Cited By ~ 5

Author(s):

Huijie Shen ◽

Jihong Wen ◽

Dianlong Yu ◽

Xisen Wen

Keyword(s):

Functionally Graded Material ◽

Functionally Graded ◽

Graded Material ◽

Conveying Fluid

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Flap wise bending vibration and dynamic stability of rotating functionally graded material plates in thermal environments

Proceedings of the Institution of Mechanical Engineers Part G Journal of Aerospace Engineering ◽

10.1177/0954410016636152 ◽

2016 ◽

Vol 231 (2) ◽

pp. 203-217

Author(s):

Ramu Inala ◽

SC Mohanty

Keyword(s):

Dynamic Stability ◽

Functionally Graded Material ◽

Rotational Speed ◽

Natural Frequencies ◽

Functionally Graded ◽

Bending Vibration ◽

Thermal Environments ◽

Graded Material ◽

Instability Regions ◽

Rotating Plate

This paper deals with the study of the flapwise bending vibration and dynamic stability of rotating functionally graded material plates in thermal environments. A finite element formulation is derived for modal and dynamic stability analyses of rotating functionally graded material plates using first-order shear deformation theory. Temperature-dependent material properties of the plates are considered in the analysis and a simple power law is assumed for composition of constituent materials to vary along the thickness direction. The same power law is also proposed in thermal environments for temperature variation across the thickness of the plate. Some numerical results obtained from the present method are compared with numerical results available in the literature and are found to be in good agreement. Parametric investigation is carried out thoroughly to study the effect of the temperature rise, hub radius, and rotational speed on vibration and the dynamic stability of rotating plate in thermal environment. Bolotin’s method is used to generate the boundaries of stability and instability regions. These instability regions are plotted in the parameter space with the nondimensional dynamic load and excitation frequency. It is observed that the natural frequencies reduce with an increase in temperature rise. Increase in rotational speed and hub radius results in increase of natural frequencies of vibration. The rise in temperature leads to reduction in the dynamic stability of plate. Increase in rotational speed and hub radius enhances the dynamic stability of the rotating plate.

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

Proceedings of the Institution of Mechanical Engineers Part C Journal of Mechanical Engineering Science ◽

10.1177/0954406216642483 ◽

2016 ◽

Vol 231 (17) ◽

pp. 3181-3192 ◽

Cited By ~ 12

Author(s):

Jiaquan Deng ◽

Yongshou Liu ◽

Zijun Zhang ◽

Wei Liu

Keyword(s):

Functionally Graded Material ◽

Volume Fraction ◽

Fluid Velocity ◽

Functionally Graded ◽

Piping System ◽

Pipe Conveying Fluid ◽

Dynamic Behaviors ◽

Graded Material ◽

The Stability ◽

Conveying Fluid

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.

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

International Journal of Applied Mechanics ◽

10.1142/s1758825117500958 ◽

2017 ◽

Vol 09 (07) ◽

pp. 1750095 ◽

Cited By ~ 7

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.

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