Effect of geometric imperfections on non-linear stability of circular cylindrical shells conveying fluid

Amabili, Marco; Karagiozis, Kostas; Paı̈doussis, M.P.

doi:10.1016/j.ijnonlinmec.2008.11.006

Cited by 66 publications

(22 citation statements)

References 24 publications

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“…buckling is obtained for smaller flow velocity than the bifurcation point). This was confirmed experimentally and studied further in . Here, the word ‘bifurcation’ signals the qualitative change of a mathematical solution and the generation of new solution branches that describe the new behaviour of the system.…”

Section: Shell and Fluid–structure Interaction Modelsmentioning

confidence: 67%

“…The actual geometry of an aorta displays deviations from an ideal circular cylindrical shell. Even though this effect is not investigated in the present study, geometric imperfections can nevertheless be investigated by using the approach introduced by some of the present authors , which has the advantage of avoiding further complication of the present model.…”

Section: Shell and Fluid–structure Interaction Modelsmentioning

confidence: 99%

“…where n is the number of circumferential waves, m is the number of longitudinal half‐waves, λ m = mπ ∕ L , and t is the time; u m , j ( t ) , v m , j ( t ) and w m , j ( t ) are the generalized coordinates . A nonlinear term

\overset{u}{true} (t)

is added to the expansion of u , Equation , to satisfy exactly the boundary condition (12d); this term is obtained as a function of the generalized coordinates . The advantage of the global discretization with the generalized coordinates used in Equations is that a relatively small number of DOFs, in this case 89 that can be reduced to 55 by selecting terms with last subscript c because of symmetry considerations, is used to build a reduced‐order model.…”

Section: Shell and Fluid–structure Interaction Modelsmentioning

confidence: 99%

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A three‐layer model for buckling of a human aortic segment under specific flow‐pressure conditions

Amabili

Karazis

Mongrain

et al. 2012

Numer Methods Biomed Eng

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Human aortas are subjected to large mechanical stresses because of blood flow pressurization and through contact with the surrounding tissue. It is essential that the aorta does not lose stability by buckling with deformation of the cross-section (shell-like buckling) (i) for its proper functioning to ensure blood flow and (ii) to avoid high stresses in the aortic wall. A numerical bifurcation analysis employs a refined reduced-order model to investigate the stability of a straight aorta segment conveying blood flow. The structural model assumes a nonlinear cylindrical orthotropic laminated composite shell composed of three layers representing the tunica intima, media and adventitia. Residual stresses because of pressurization are evaluated and included in the model. The fluid is formulated using a hybrid model that contains the unsteady effects obtained from linear potential flow theory and the steady viscous effects obtained from the time-averaged Navier-Stokes equations. The aortic segment loses stability by divergence with deformation of the cross-section at a critical flow velocity for a given static pressure, exhibiting a strong subcritical behaviour with partial or total collapse of the inner wall. Preliminary results suggest directions for further study in relation to the appearance and growth of dissection in the aorta.

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Section: Shell and Fluid–structure Interaction Modelsmentioning

confidence: 67%

Section: Shell and Fluid–structure Interaction Modelsmentioning

confidence: 99%

\overset{u}{true} (t)

Section: Shell and Fluid–structure Interaction Modelsmentioning

confidence: 99%

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A three‐layer model for buckling of a human aortic segment under specific flow‐pressure conditions

Amabili

Karazis

Mongrain

et al. 2012

Numer Methods Biomed Eng

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“…The deviation between simulation and experiment is about 15%. The concept of defects factor (DF) is introduced when considering model's geometric imperfections [6], and finite element software, ANSYS, is used to study nonlinear buckling behaviors of composite cylindrical shell subjected to hydrostatic pressure in this paper. The deviation between simulation and experiment is about 5%.…”

Section: Finite Element Analysis Verificationmentioning

confidence: 99%

Optimization of Composite Cylindrical Shell Subjected to Hydrostatic Pressure

Pan

Shen

et al. 2015

Intelligent Robotics and Applications

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Abstract.Composite is used to substitute aluminum alloy as material of the underwater vehicle in this study. Nonlinear buckling behaviors of composite cylindrical underwater shell are studied using ANSYS software. Carbon/Epoxy is selected as material of the vehicle through comparative analysis. Optimization of ply sequence, thickness and angle of composite cylindrical shell subjected to hydrostatic pressure is investigated. Both buckling and material damage is considered in the optimization, the results show that buckling is the major destroy form. The vehicle's buckling pressure is greatly increased after optimization. And the vehicle's working depth has a 32% increase without changing its shape and structure.

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“…In the field of cylindrical shell conveying fluid, Ganesan and Ramu presented flexible cantilever pipes conveying fluids with high velocity that are analyzed for their dynamic response and stability behavior. Amabili et al investigated stability of circular cylindrical shells containing inviscid, incompressible fluid with and without considering geometric imperfections. A formulation, based on the semi‐analytical finite element method, was proposed by Senthil Kumar and Ganesan for elastic conical shells conveying fluids.…”

Section: Introductionmentioning

confidence: 99%

Vibration analysis of silica nanoparticle‐reinforced concrete pipes filled with compressible fluid surrounded by soil foundation

Nouri

2018

Structural Concrete

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In this article, vibration of nanoparticles reinforced‐concrete pipes surrounded by soil medium is presented. The nanoparticles are silica where the effective material properties of the structure are obtained by Mori–Tanaka model considering agglomeration of nanoparticles. The pipe is filled with a non‐viscous, compressible fluid. The surrounded soil medium is simulated by Winkler medium using spring element. The cylindrical shell model is used for modeling of the structure. Based on the energy method and Hamilton’s principle, the motion equations are derived. Using an exact solution, the frequency of the structure is calculated. The effects of fluid velocity, volume percent and agglomeration of silica nanoparticles, boundary condition, and geometrical parameters of pipe are shown on the instability response of the structure. Results show that considering the agglomeration of silica nanoparticles, the frequency of the concrete pipe is decreased.

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Effect of geometric imperfections on non-linear stability of circular cylindrical shells conveying fluid

Cited by 66 publications

References 24 publications

A three‐layer model for buckling of a human aortic segment under specific flow‐pressure conditions

A three‐layer model for buckling of a human aortic segment under specific flow‐pressure conditions

Optimization of Composite Cylindrical Shell Subjected to Hydrostatic Pressure

Vibration analysis of silica nanoparticle‐reinforced concrete pipes filled with compressible fluid surrounded by soil foundation

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