Overview
FrançaisABSTRACT
This article presents the theoretical, numeric and practical aspects of a calculation method aimed at describing the vibratory behavior of tube bundles with a fluid-structure interaction (FSI). Its objective is in particular to describe the inertial effects specific to the FSI in the “low frequency” range. The method proposed is based upon a global description of the dynamics of the beam; it is grounded on a similar model of interaction between the tubes and the fluid which is deduced from the local analysis of the vibration of the tube confined in the bundle. This homogenization method can be implemented with any finite element calculation code offering the “standard” operators of the fluid-structure interaction (operators of fluid -structure kinetic and potential energy, operators of fluid-structure coupling). The article presents two examples of validation for elementary problems in the form of a comparison between the “coupling” and homogenizing” approaches. An example of application of this method concludes the presentation and illustrates its general character.
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Read the articleAUTHORS
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Jean-François SIGRIST: Research and development engineer – DCNS Research
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Daniel BROC: Research engineer – CEA Saclay
INTRODUCTION
L' he fluid-structure interaction (or FSI) problem is a vast field of study that includes many different industrial configurations and needs to be tackled when the dynamic behavior of a structure is influenced by the presence of a fluid. The study of this type of problem can be complex, both from the point of view of physical analysis and the numerical treatment of the corresponding equations. In the most general case, to build a numerical model, it is necessary to couple the calculation codes that solve the equations governing the behavior of the structure and the fluid. In the case of vibratory analysis of structures coupled with a fluid, it is possible to model the system's behavior using a simpler set of equations: for the fluid in particular, the Euler equation (incompressible, non-viscous "flow" model) or the Helmholtz equation (compressible, non-viscous "flow" model) can be used to describe the physics of the problem. The IFS is then described by a system of equations for which numerical resolution using the finite element method is particularly well suited. However, finite element/finite element coupling methods quickly reach their limits in the case of systems involving a large number of fluid-coupled structures, particularly tubular bundles. In such cases, specific modeling techniques are required: computational methods based on homogenization techniques have been developed to meet this need. The aim of this article is to present the principles of a homogenization method and its application to calculating the behavior of immersed tubular beams. The presentation is divided into four sections: the first provides a few basic reminders of the notions of fluid/structure interaction and inertial effect in the general case; the second and third sections then develop the theoretical principles and numerical implementation of a homogenization method for describing inertial effects for tubular beams; two validation examples and an application example are studied in the fourth section. Bibliographical references are provided in the "Further reading" section of this article.
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KEYWORDS
fluid-structure interaction | tube bundle | finite element method | inertial effects | dynamic analysis | homogenisation method
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Pressure Vessels and Piping Conference (PVP) http://www.asmeconferences.org/pvp12/
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Association Française de Mécanique (AFM) http://www.afm.asso.fr
American Society of Mechanical Engineers (ASME) http://www.asme.org
Tubular Exchanger Manufacturers Association...
Scientific journals
Mechanics and Industries http://www.mecanique-industries.org/
Journal of Pressure Vessel Technology http://www.asmedl.org/PressureVesselTech
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