A parametric study on thermo-mechanical vibration of axially functionally graded material pipe conveying fluid

Dai, Jiayin; Liu, Yongshou; Liu, Huichao; Miao, Changxu; Tong, Guojun

doi:10.1007/s10999-018-09439-5

Cited by 43 publications

(10 citation statements)

References 37 publications

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“…The two weighting coefficients are the same as the two length ratios, respectively, to make sure the compared homogeneous nanotube has the same integrals of material properties along the length direction with those of the constructed nanotube (with one period or more). This method to eliminate the influence of material properties has been introduced in our previous work [35]. Comparing Fig.…”

Section: Different Period Numbersmentioning

confidence: 99%

Stability Analysis of a Periodic Fluid-Conveying Heterogeneous Nanotube System

Dai

Liu

Tong

2020

Acta Mech. Solida Sin.

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In this paper, the stability of a periodic heterogeneous nanotube conveying fluid is investigated. The governing equations of the nanotube system are derived based on the nonlocal Euler–Bernoulli beam theory. The dynamic stiffness method is employed to analyze the natural frequencies and critical flow velocities of the heteronanotube. The results and discussions are presented from three aspects which reveal the influences of period number, material length ratio and boundary conditions. In particular, we make comparisons between the heterogeneous nanotubes with periodic structure and the homogeneous ones with the same integral values of material properties along the longitudinal direction to isolate the influences of periodic distribution. According to the simulation results, we can conclude that with a proper selection of period number in terms of length ratio, the stability of the constructed nanotube can be improved.

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Section: Different Period Numbersmentioning

confidence: 99%

Stability Analysis of a Periodic Fluid-Conveying Heterogeneous Nanotube System

Dai

Liu

Tong

2020

Acta Mech. Solida Sin.

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“…Tang [15] studied the vibration analysis of beams constructed with two-dimensional FGMs. The effects of temperature on the vibration characteristics of fluid-conveying pipes constructed with axial FGMs are examined by Dai [16] . Reddy [17] studied the effect of FGMs and hot fluid on the nonlinear dynamics of pipes.…”

Section: Introductionmentioning

confidence: 99%

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

Cao

2022

J. Phys.: Conf. Ser.

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The aims in this work are to study the effects of random variables and physical parameters on the critical fluid velocity of functionally graded material thin-walled pipes resting on random elastic foundations which carry the axial flow. The variation of the mean of the critical flow velocity with the spatial correlation length are monotonically increased or not monotonic which is conditional on the values of the coefficient of variation. The length of the intervals for purely ceramic or fully metal is shorter than these for other values of volume fraction index in which the mean of critical flow velocity is higher than that of the deterministic foundation stiffness. As the volume fraction index and temperature gradient of FGMs increase, the curves of the mean of critical flow velocity vary greatly for the fixed values of the coefficient of variation. The numerical results have been of practical interest for the design of the functionally graded pipes.

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“…In recent years, functionally graded materials have attracted the attention of the researchers due to their ability to improve dynamical properties of pipes with internal flow. The studies include enhancing the dynamic stability of such systems [44], stabilization of multi-span spinning pipes conveying fluid [23], dynamics of a spinning pipe with its free end operating in a high temperature environment [11] or subjected to temperature changes [8].…”

Section: Introductionmentioning

confidence: 99%

Stabilization of a cantilever pipe conveying fluid using electromagnetic actuators of the transformer type

2021

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The article presents an investigation of the stabilization of a cantilever pipe discharging fluid using electromagnetic actuators of the transformer type. With the flow velocity reaching a critical value, the straight equilibrium position of the pipe becomes unstable, and self-excited lateral vibrations arise. Supplying voltage to the actuators yields two opposite effects. First, each of the actuators attracts the pipe, thus introduces the effect of negative stiffness which destabilizes the middle equilibrium. Second, lateral vibrations change the gap in magnetic circuits of the actuators, which leads to oscillations of magnetic field in the cores and the electromagnetic phenomena of induction and hysteresis that impede the motion of the pipe. The combination of these two non-linear effects is ambiguous, so the problem is explored both theoretically and experimentally. First, a mathematical model of the system in form of a partial differential equation governing the dynamics of the pipe coupled with two ordinary differential equations of electro-magnetodynamics of the actuators is presented. Then, the equation of the pipe’s dynamics is discretized using the Galerkin procedure, and the resultant set of ordinary equations is solved numerically. It has been shown that the overall effect of actuators action is positive: the critical flow velocity has been increased and the amplitude of post-critical vibrations reduced. These results have been validated experimentally on a test stand.

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A parametric study on thermo-mechanical vibration of axially functionally graded material pipe conveying fluid

Cited by 43 publications

References 37 publications

Stability Analysis of a Periodic Fluid-Conveying Heterogeneous Nanotube System

Stability Analysis of a Periodic Fluid-Conveying Heterogeneous Nanotube System

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

Stabilization of a cantilever pipe conveying fluid using electromagnetic actuators of the transformer type

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