Static and dynamic characteristics of the post-buckling of fluid-conveying porous functionally graded pipes with geometric imperfections

Zhu, Bin; Chen, Xiaochao; Guo, Yang; Li, Yinghui

doi:10.1016/j.ijmecsci.2020.105947

Cited by 60 publications

(8 citation statements)

References 63 publications

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“…has come into being recently. While for pipe structure, accessories such as connector [24] and restrained clip [25], complex spatial configuration [26][27], the material is functionally gradient [28][29][30][31], altered geometric shape [32][33] etc. are some research hotspots in recent years.…”

Section: Introductionmentioning

confidence: 99%

Dynamics of a cantilevered fluid-conveying straight pipe with centrosymmetric rib plates installed at its fixed end

Zhao,

Cai,

et al. 2023

Preprint

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Rib plates are often used for improving load-bearing capacity, to study the influences of centrosymmetric rib plates installed at the fixed end on the dynamics of a cantilevered fluid-conveying straight pipe, the governing equation is deduced based on D’Alembert principle at first, during this process, the centrosymmetric rib plates are equivalently replaced by the combination of a series of linear and torsional springs whose stiffness coefficients are formulated according to thin plate bending theory. Then Galerkin method is used to discretize the above governing equation, where the shape functions are just the mode functions of cantilevered Euler-Bernoulli straight beam deduced by differential transformation method, the expressions of eigenfunction for flow-induced vibration and steady-state displacement response for forced vibration are obtained subsequently. Numerical experiments of a real water-supplying pipe are carried out, some conclusions never mentioned in published literatures are drawn. The same dynamic problems for other kinds of straight pipes and for curved pipes possessing one clamped end are also discussed. The investigation has reference meaning for optimal design of rib plates in aspects of geometric sizes and materials, also for optimal design of supporting formats of fluid-conveying pipes.

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Section: Introductionmentioning

confidence: 99%

Dynamics of a cantilevered fluid-conveying straight pipe with centrosymmetric rib plates installed at its fixed end

Zhao,

Cai,

et al. 2023

Preprint

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show abstract

“…Hence, these unique properties of FGMs have motivated the researchers to analyze the new class of materials, i.e. FG porous structures [27][28][29]. Within the framework of the conventional continuum theory, the vibration and nonlinear stability of the thermally pre/post-buckled graded beams during the bifurcation buckling were presented by Ma and Lee [30] based on the Timoshenko and Euler-Bernoulli theories.…”

Section: Introductionmentioning

confidence: 99%

Nonlinear dynamic buckling and vibration of thermally post-buckled temperature-dependent FG porous nanobeams based on the nonlocal theory

Salari

Ashoori²,

Vanini³

et al. 2022

Phys. Scr.

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In this paper, nonlinear dynamic snap-through buckling and vibration behavior of the thermally post-buckled functionally graded (FG) porous nanobeams subjected to static and sudden mechanical loads are investigated utilizing the nonlocal elasticity theory. The physical properties of the nanobeam are considered to be functions of temperature based on the Touloukian model. In addition, to describe the FG porous materials, two different patterns of porosity distribution are adopted using trigonometric functions through the thickness of the nanobeam. The equations of motion in conjunction with the von-K ́arm ́an nonlinear assumption are established in the framework of Hamilton’s principle. By employing the Chebyshev-Ritz procedure, the nonlinear equations are discretized for three types of edge supports. Following that, the cylindrical arc-length technique is employed to assess the vibrational responses of the post-buckled nanobeam during static snap-through buckling. To evaluate the nonlinear dynamic buckling of the graded nanobeam under a sudden dynamic load, the Newmark time integration scheme together with the Newton-Raphson iterative method are utilized. Next, by means of the Budiansky-Roth criterion and the phase-plane approach, the dynamic snap-through loads are identified. After validating the developed mathematical model, a comprehensive investigation is carried out to determine the role of various physical and geometrical parameters on the dynamic snap-through buckling and vibration characteristics of the post-buckled FG nanobeams.

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“…Emam and Lacarbonara [32] analytically analyzed the buckling and postbuckling response of extensible, shear deformable beams with different boundary conditions. Zhu et al [33] presented analytical solutions for nonlinear stability and dynamic behaviors of fluid conveying FG imperfect pipes. Xu et al [34] developed an exact model to show the effect of nanovoids distribution on forced vibration of FG curved nanobeams.…”

Section: Introductionmentioning

confidence: 99%

Exact Solution of Nonlinear Behaviors of Imperfect Bioinspired Helicoidal Composite Beams Resting on Elastic Foundations

et al. 2022

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This paper presents exact solutions for the nonlinear bending problem, the buckling loads, and postbuckling configurations of a perfect and an imperfect bioinspired helicoidal composite beam with a linear rotation angle. The beam is embedded on an elastic medium, which is modeled by two elastic foundation parameters. The nonlinear integro-differential governing equation of the system is derived based on the Euler–Bernoulli beam hypothesis, von Kármán nonlinear strain, and initial curvature. The Laplace transform and its inversion are directly applied to solve the nonlinear integro-differential governing equations. The nonlinear bending deflections under point and uniform loads are derived. Closed-form formulas of critical buckling loads, as well as nonlinear postbuckling responses of perfect and imperfect beams are deduced in detail. The proposed model is validated with previous works. In the numerical results section, the effects of the rotation angle, amplitude of initial imperfection, elastic foundation constants, and boundary conditions on the nonlinear bending, critical buckling loads, and postbuckling configurations are discussed. The proposed model can be utilized in the analysis of bio-inspired beam structures that are used in many energy-absorption applications.

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Static and dynamic characteristics of the post-buckling of fluid-conveying porous functionally graded pipes with geometric imperfections

Cited by 60 publications

References 63 publications

Dynamics of a cantilevered fluid-conveying straight pipe with centrosymmetric rib plates installed at its fixed end

Dynamics of a cantilevered fluid-conveying straight pipe with centrosymmetric rib plates installed at its fixed end

Nonlinear dynamic buckling and vibration of thermally post-buckled temperature-dependent FG porous nanobeams based on the nonlocal theory

Exact Solution of Nonlinear Behaviors of Imperfect Bioinspired Helicoidal Composite Beams Resting on Elastic Foundations

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