Review of studies on geometrically nonlinear vibrations and dynamics of circular cylindrical shells and panels, with and without fluid-structure interaction

2003 ◽  
Vol 56 (4) ◽  
pp. 349-381 ◽  
Author(s):  
Marco Amabili ◽  
Michael P. Paı¨doussis
Keyword(s):  
Cylindrical Shells ◽  
Fluid Structure Interaction ◽  
Harmonic Excitation ◽  
Forced Vibrations ◽  
Geometrically Nonlinear ◽  
Flowing Fluid ◽  
Fluid Structure ◽  
Structure Interaction ◽  
Free And Forced Vibrations ◽  
Circular Cylindrical Shells

This literature review focuses mainly on geometrically nonlinear (finite amplitude) free and forced vibrations of circular cylindrical shells and panels, with and without fluid-structure interaction. Work on shells and curved panels of different geometries is but briefly discussed. In addition, studies dealing with particular dynamical problems involving finite deformations, eg, dynamic buckling, stability, and flutter of shells coupled to flowing fluids, are also discussed. This review is structured as follows: after a short introduction on some of the fundamentals of geometrically nonlinear theory of shells, vibrations of shells and panels in vacuo are discussed. Free and forced vibrations under radial harmonic excitation (Section 2.2), parametric excitation (axial tension or compression and pressure-induced excitations) (Section 2.3), and response to radial transient loads (Section 2.4) are reviewed separately. Studies on shells and panels in contact with dense fluids (liquids) follow; some of these studies present very interesting results using methods also suitable for shells and panels in vacuo. Then, in Section 4, shells and panels in contact with light fluids (gases) are treated, including the problem of stability (divergence and flutter) of circular cylindrical panels and shells coupled to flowing fluid. For shells coupled to flowing fluid, only the case of axial flow is reviewed in this paper. Finally, papers dealing with experiments are reviewed in Section 5. There are 356 references cited in this article.

Geometrically Nonlinear Forced Vibrations of Circular Cylindrical Shells Containing Flowing Fluid

2000 ◽  
Author(s):  
F. Pellicano ◽  
M. Amabili ◽  
M. P. Païdoussis
Keyword(s):  
Stochastic Dynamics ◽  
Cylindrical Shells ◽  
Harmonic Excitation ◽  
Linear Potential ◽  
Stochastic Motion ◽  
Flowing Fluid ◽  
Periodic Response ◽  
Shell Motion ◽  
Circular Cylindrical Shells ◽  
Flow Velocities

Abstract The response of a shell conveying fluid to harmonic excitation, in the spectral neighbourhood of one of the lowest natural frequencies, is investigated for different flow velocities. Nonlinearities due to moderately large amplitude shell motion are considered by using the nonlinear Donnell shallow shell theory. Linear potential flow theory is applied to describe the fluid-structure interaction by using the model proposed by Païdoussis and Denise. For different amplitude and frequency of the excitation and for different flow velocities, the following are investigated numerically: (i) periodic response of the system; (ii) unsteady and stochastic motion; (iii) loss of stability by jumps to bifurcated branches. The effect of the flow velocity on the nonlinear periodic response of the system has also been investigated. Poincaré maps and bifurcation diagrams are used to study the unsteady and stochastic dynamics of the system. Amplitude-modulated motions, multi-periodic solutions, chaotic responses and the so-called “blue sky catastrophe” phenomenon have been observed for different values of the system parameters; the latter two have been predicted here probably for the first time for the dynamics of circular cylindrical shells.

scholarly journals Two-Way Fluid-Structure Coupling in Vibration and Damping Analysis of an Oscillating Hydrofoil

2014 ◽  
Author(s):  
T. Liaghat ◽  
F. Guibault ◽  
L. Allenbach ◽  
B. Nennemann
Keyword(s):  
Fluid Structure Interaction ◽  
Mesh Size ◽  
Main Concern ◽  
Time Step ◽  
Flowing Fluid ◽  
Fluid Structure ◽  
Analysis And Design ◽  
Structure Interaction ◽  
Hydrodynamic Damping ◽  
Hydraulic Machines

Fluid-structure interaction (FSI) and unavoidable vibrations are important characteristics in the operation of hydropower structures and must be taken into account in the analysis and design of such equipment. Hydrodynamic damping influences the amplitude of vibrations and is directly related to fatigue problems in hydraulic machines which are of great importance. The aim of this study is to investigate the coupled effects of flowing fluid on a simplified hydrofoil by using three-dimensional two-way fluid-structure interaction modeling, in order to determine its importance in predicting vibration amplitudes and damping. The effect of considering different flow velocities is also investigated in the present study. The results of this research are compared with those obtained from experiments done by ANDRITZ [1]. The influences of mesh size and time step are also studied. Our results indicate that considering FSI in predicting the frequencies of the fluctuating fluid forces in practical problems might be ignored if the main concern of the analysis is to check the possibility of resonance. However, FSI must be included in the modeling when we aim to predict the influence of the fluid on the damping behavior in the hydrofoil vibration.

Tackling FSI Simulation for FIV Problems in Tube Bundle Systems With POD Approach

2011 ◽  
Author(s):  
Marie Pomarede ◽  
Aziz Hamdouni ◽  
Erwan Liberge ◽  
Elisabeth Longatte ◽  
Jean-Franc¸ois Sigrist
Keyword(s):  
Nuclear Power ◽  
Power Plants ◽  
Tube Bundle ◽  
Fluid Structure Interaction ◽  
Flowing Fluid ◽  
Fluid Structure ◽  
Reduced Order ◽  
Structure Interaction ◽  
Flow Past ◽  
Steam Boilers

Tube bundles in steam boilers of nuclear power plants and nuclear on-board stokehold are known to be exposed to high levels of vibrations under flowing fluid. This coupled fluid-structure problem is still a challenge for engineers, first because of the difficulty to fully understand it, second because of the complexity for setting it up numerically. Although numerical techniques could help the understanding of such a mechanism, a complete simulation of a fluid past a whole elastically mounted tube bundle is currently out of reach for engineering purposes. To get round this problem, the use of a reduced-order model has been proposed with the introduction of the widely used Proper Orthogonal Decomposition (POD) method for a flow past a fixed structure [M. Pomare`de, E. Liberge, A. Hamdouni, E.Longatte, & J.F. Sigrist - Simulation of a fluid flow using a reduced-order modelling by POD approach applied to academic cases; PVP2010, July 18–22, Seattle]. Interesting results have been obtained for the reconstruction of the flow. Here a first step is to propose to consider the case of a flow past a fixed tube bundle configuration in order to check the good reconstruction of the flow. Then, an original approach proposed by Liberge (E. Liberge; POD-Galerking Reduction Models for Fluid-Structure Interaction Problems, PhD Thesis, Universite´ de La Rochelle, 2008) is applied to take into account the fluid-structure interaction characteristic; the so-called “multiphase” approach. This technique allows applying the POD method to a configuration of a flow past an elastically mounted structure. First results on a single circular cylinder and on a tube bundle configuration are encouraging and let us hope that parametric studies or prediction calculations could be set up with such an approach in a future work.

Structural Optimization of Buckling Load in Fluid-Structure Interaction Problems

2002 ◽  
Author(s):  
Hiroki Umeda ◽  
Hirohisa Noguchi
Keyword(s):  
Static Pressure ◽  
Fluid Structure Interaction ◽  
Buckling Load ◽  
Navier Stokes ◽  
Geometrically Nonlinear ◽  
Navier Stokes Equation ◽  
Fluid Structure ◽  
Structure Interaction ◽  
Newton Raphson ◽  
Raphson Method

This paper presents a procedure for the sensitivity analysis of buckling load in fluid-structure interaction problems. In the formulation, the buckling of thin structures subjected to the pressure of viscous flow is modeled, where the geometrically nonlinear equation and the Navier-Stokes equation should be considered. These equations are solved by the strong coupling formulation and the Newton-Raphson method. In order to confirm the validity of this procedure, the arch subjected to only the static pressure of fluid is analyzed. Finally, simple optimization considering fluid-structure interaction is performed using the calculated sensitivity along with the steepest descend method and the satisfactory result is obtained.

scholarly journals Determination of the critical velocity of the fluid flowing in a single-walled carbon nanotubes embedded in a polymer matrix

2019 ◽  
pp. 114-119
Author(s):  
D S Lolov ◽  
Sv V Lilkova-Markova
Keyword(s):  
Carbon Nanotubes ◽  
Elastic Medium ◽  
Polymer Matrix ◽  
Fluid Structure Interaction ◽  
Beam Model ◽  
Flowing Fluid ◽  
Fluid Structure ◽  
Structure Interaction ◽  
Single Walled Carbon ◽  
The Stability

Since 90’s carbonic nanotubes are broadly used in nanophysics, nanobiology and nanomechanics in nanofluidic devices, nanocontainers for gas storage and nanopipes conveying fluid. They have a perfect hollow cylindrical geometry and superior mechanical strength. The flowing fluid can be water, oil, dynamic flow of methane, ethane and ethylene molecules. The problem of the fluid-structure interaction could be considered in the case of nanoscale. However, the experiments at the nanoscale are difficult and expensive. That is why the continuum elastic models have been used to study the fluid-structure interaction. The carbon nanotubes are considered with Euler- and Timoshenko-beam models. In this paper the dynamic stability of a single-walled carbon nanotube is investigated on the basis of the Euler-beam model and with the employment of the Generalized Differential Quadrature Method. The tube under investigation is assumed hinged at its both ends and is embedded in a polymer matrix. To study the influence of the surrounding elastic medium (for example, a polymer) on the stability of the pipe, an elastic base of Pasternak is introduced. A differential equation is presented that describes the transverse vibrations of a nanotube embedded in a polymer matrix. Dimensionless parameters are introduced. The scheme of Chebycheva-Gauss-Lobato is used for sampling. The coefficients are calculated using Lagrange interpolation functions. A system of homogeneous equations is written in the matrix form. The obtained numerical results are for flowing fluids with different densities. In order to study the effect of the surrounding elastic medium (such as polymer) on the stability of the pipe the Pasternak elastic foundation is introduced. The critical velocities of each type of fluid are determined for different stiffnesses of this matrix. A decrease in the critical speed with the increasing mass ratio has been established.

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