Analysis of nonstationary processes in cylindrical shells interacting with a fluid flow

Kubenko, V. D.; Koval’chuk, P. S.; Podchasov, N. P.

doi:10.1007/s10778-011-0404-y

Cited by 2 publications

(3 citation statements)

References 9 publications

(12 reference statements)

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“…[129,130] by showing the mathematical procedure for the Krylov Bogolyubov Mitropol'skii method in studying multi mode non linear free, forced and parametrically excited vibrations of shells in contact with flowing fluid. Kubenko et al [132] also studied the vibrations of cylindrical shells interacting with a fluid flow and subjected to external periodic pressure with slowly varying frequency.…”

Section: Fluid Structure Interaction For Shells Subjected To Flowing mentioning

confidence: 99%

Non-linear vibrations of shells: A literature review from 2003 to 2013

Alijani

Amabili

2014

International Journal of Non-Linear Mechanics

211

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International audienceThe present literature review focuses on geometrically non linear free and forced vibrations of shells made of traditional and advanced materials. Flat and imperfect plates and membranes are excluded. Closed shells and curved panels made of isotropic, laminated composite, piezoelectric, functionally graded and hyperelastic materials are reviewed and great attention is given to non linear vibrations of shells subjected to normal and in plane excitations. Theoretical, numerical and experimental studies dealing with particular dynamical problems involving parametric vibrations, stability, dynamic buckling, non stationary vibrations and chaotic vibrations are also addressed. Moreover, several original aspects of non linear vibrations of shells and panels, including (i) fluid structure interactions, (ii) geometric imperfections, (iii) effect of geometry and boundary conditions, (iv) thermal loads, (v) electrical loads and (vi) reduced order models and their accuracy including perturbation techniques, proper orthogonal decomposition, non linear normal modes and meshless methods are reviewed in depth

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Section: Fluid Structure Interaction For Shells Subjected To Flowing mentioning

confidence: 99%

Non-linear vibrations of shells: A literature review from 2003 to 2013

Alijani

Amabili

2014

International Journal of Non-Linear Mechanics

211

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“…When the first of them fails, quasistatic instability occurs, and when the second condition fails, flutter instability occurs. The critical speeds of the fluid at which the shell undergoes flutter should be determined from the following formula [9,11]:…”

Section: Buckling Criteria and Modes Simplified Modelmentioning

confidence: 99%

“…Consider a shell with the following parameters [11]: E = 0.67×10 11 P, r = 2. and U f are defined by the following formulas [7]:…”

Section: Buckling Criteria and Modes Simplified Modelmentioning

confidence: 99%

Influence of external loading on the stability of a fluid-conveying pipeline

2011

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A section of a fluid-conveying pipeline is analyzed for stability. The section is modeled by an elastic cylindrical shell of finite length under external static loading. Two qualitatively different instability modes are studied: "quasistatic" (divergence) and dynamic (flutter). The effect of uniform radial pressure and uniform axial pressure on the instability modes is analyzed Keywords: elastic cylindrical shell, incompressible ideal fluid, static loading, critical speed, static and dynamic instabilityIntroduction. While in service, sections of elastic fluid-conveying pipelines are often subject to radial static pressure and axial static compression. Therefore, it is very important to study the influence of such loading on the loss of stability of pipelines caused by the intensive interaction with the fluid flowing with certain speeds.We will analyze the effect of external loading on two qualitatively different instability modes of a pipeline section: "quasistatic" (divergence) and "dynamic" (flutter) [1,5,7]. The instability modes of the shell will be analyzed. The influence of dissipative forces on the buckling of statically compressed shells will be examined as well.1. Problem Formulation. Starting Equations of Motion. Consider a pipeline section of finite length modeled by a thin-walled elastic cylindrical shell completely filled with a fluid flowing with some constant speedU (Fig. 1). Assume that the shell is subjected to uniform radial external pressure q 0 = const and uniform axial compression N N x = = 0 const. The shell is simply supported at the ends.We start with the linearized equations of motion of shallow shells in mixed form [1, 3]:

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Analysis of nonstationary processes in cylindrical shells interacting with a fluid flow

Cited by 2 publications

References 9 publications

Non-linear vibrations of shells: A literature review from 2003 to 2013

Non-linear vibrations of shells: A literature review from 2003 to 2013

Influence of external loading on the stability of a fluid-conveying pipeline

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