Nonlinear stability of cylindrical shells subjected to axial flow: Theory and experiments

Karagiozis, Kostas; Paı̈doussis, M.P.; Amabili, Marco; Misra, A. K.

doi:10.1016/j.jsv.2007.07.061

Cited by 50 publications

(13 citation statements)

References 32 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%

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%

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

Self Cite

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“…Clearly, this re-examination must involve both nonlinear theory and further experiments. This was discussed in greater detail by Karagiozis et al [89][90][91] and Païdoussis [13].…”

Section: Dynamics Of Cylindrical Shells Subjected To Axial Flowmentioning

confidence: 95%

“…However, they did not develop coupled-model flutter. As the experiments [89] were always done with shells with clamped ends (for experimental convenience), a new nonlinear theoretical model was developed for shells with clamped ends [90,91]. Again, the postdivergence flutter was not detected.…”

Section: Dynamics Of Cylindrical Shells Subjected To Axial Flowmentioning

confidence: 99%

Vibration of Slender Structures Subjected to Axial Flow or Axially Towed in Quiescent Fluid

Wang

2009

Advances in Acoustics and Vibration

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The vibrations and stability of slender structures subjected to axial flow or axially towed in quiescent fluid are discussed in this paper. A selective review of the research undertaken on it is presented. It is endeavoured to show that slender structures subjected to axial flow or axially towed in quiescent fluid are capable of displaying rich dynamical behavior. The basic dynamics of straight and curved pipes conveying fluid (with or without motion constraints), carbon nanotubes conveying fluid, tubular beams subjected to both internal and external flows in axial direction, slender structures in axial flow or axially towed in quiescent fluid, cylindrical shells conveying or immersed in axial flow, solitary plate or parallel-plate assembly in axial flow; linear, nonlinear, and chaotic dynamics; these and many more are some of the aspects of the problem considered.

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“…They showed that the system loses stability by a subcritical pitchfork bifurcation, leading to a stable divergence of increasing amplitude with increasing flow speed. Also, Karagiozis et al (2008) used the Donnell nonlinear shallow shell equations along with linear potential flow theory to investigate the stability and nonlinear behavior of thin, clamped, cylindrical shells. They compared their analytical results with experiments and achieved good qualitative and reasonable quantitative agreement.…”

Section: Introductionmentioning

confidence: 99%

A fluid–structure interaction model for stability analysis of shells conveying fluid

Firouz-Abadi

Noorian

Haddadpour

2010

Journal of Fluids and Structures

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Nonlinear stability of cylindrical shells subjected to axial flow: Theory and experiments

Cited by 50 publications

References 32 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

Vibration of Slender Structures Subjected to Axial Flow or Axially Towed in Quiescent Fluid

A fluid–structure interaction model for stability analysis of shells conveying fluid

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