Finite element formulations for coupled fluid/structure eigenvalue analysis / Thomas A. Vernon.

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Defence Research Establishment Atlantic , Dartmouth, N.S
SeriesTechnical memorandum (Defence Research Establishment Atlantic) -- 89/223
ContributionsDefence Research Establishment Atlantic.
The Physical Object
Paginationvi, 54 p. :
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Open LibraryOL20999519M

FINITE ELEMENT FORMULATIONS FOR COUPLED FLUID / STRUCTURE EIGENVALUE ANALYSIS Thomas A. Vernon September Approved by L.J. Leggat Distribution Approved by Director/Technical Division TECHNICAL MEMORANDUM 89/ Defence Centre de Research Recherches pour la Establishment D6fense Atlantic i Atlantique Canad i PE.

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The structure of finite element methods. A finite element method is characterized by a variational formulation, a discretization strategy, one or more solution algorithms, and post-processing procedures.

Examples of the variational formulation are the Galerkin method, the discontinuous Galerkin method, mixed methods, etc. Fluid-structure interaction problems arise in many engineering systems.

Predicting the coupled motions of the fluid and the structure is generally a difficult task. Finite element analysis can be used to predict the response of some simple fluid-structure systems.

() Coupled FE-BE method for eigenvalue analysis of elastic structures submerged in an infinite fluid domain. International Journal for Numerical Methods in Engineering() Combined boundary integral equations for acoustic scattering-resonance by: Several new finite elements are presented for the idealization of two‐ and three‐dimensional coupled fluid‐solid systems subjected to static and dynamic loading.

The elements are based on a displacement formulation in terms of the displacement degrees‐of‐freedom at the nodes of the by: This work deals with a finite element procedure devised to perform the eigenvalue analysis o f high -speed ro-tating machines supported on fluid film journal bearings.

The Timoshenko beam theory is applied on the rotat-ing shaft finite element modelling, accounting for the shear effects, the gyroscopic moments and the rotatory i n-ertia.

However, the use of finite element methods for mixed problems requires compatibility between the approximation spaces [3,7]. Stable formulations have proven successful as can be seen in [8, 1 FINITE ELEMENT ANALYSIS OF FLUID-STRUCTURE INTERACTION IN A BLAST-RESISTANT WINDOW SYSTEM Jae H.

Chung1, Gary R. Consolazio2, Robert J. Dinan3 and Stephen A. Rinehart4 Abstract This paper describes the development of a finite element model capable of representing a. Finite Elements for Coercive Problems Some notions of Functional Analysis Sobolev spaces Spaces L2() and H1().

Unless otherwise stated, always denotes in these lecture notes an open bounded set in Rd, d= 1;2 or 3 and has a smooth boundary @. The outward normal to. Mats G. Larson, Fredrik Bengzon The Finite Element Method: Theory, Implementation, and Practice November 9, Springer. () Finite element analysis for a pressure–stress formulation of a fluid–structure interaction spectral problem.

Computers & Mathematics with ApplicationsHuo-Yuan Duan, Ping Lin, and Roger C. Tan.

Details Finite element formulations for coupled fluid/structure eigenvalue analysis / Thomas A. Vernon. EPUB

Fluid-Structure Interaction: An Introduction to Finite Element Coupling fulfils the need for an introductive approach to the general concepts of Finite and Boundary Element Methods for FSI, from the mathematical formulation to the physical interpretation of numerical simulations.

Based on the author’s experience in developing numerical codes for industrial applications in shipbuilding and in. The Finite Element Method in Heat Transfer and Fluid Dynamics, Third Edition illustrates what a user must know to ensure the optimal application of computational procedures―particularly the Finite Element Method (FEM)―to important problems associated with heat conduction, incompressible viscous flows, and convection heat s: 1.

Finite element analysis of fluid flows fully coupled with structural interactions. An important feature for the analysis of fsi problems is the ALE formulation for the fluid domain, but the fluid pressure exerts considerable forces on the structure.

The coupled analysis gives the flow rates in the various sections of the device, the. This course presents finite element theory and methods for general linear and nonlinear analyses.

Reliable and effective finite element procedures are discussed with their applications to the solution of general problems in solid, structural, and fluid mechanics, heat and mass transfer, and fluid-structure interactions.

Description Finite element formulations for coupled fluid/structure eigenvalue analysis / Thomas A. Vernon. PDF

The governing continuum mechanics equations, conservation laws, virtual. The Finite Element Method for Fluid Dynamics offers a complete introduction the application of the finite element method to fluid mechanics. The book begins with a useful summary of all relevant partial differential equations before moving on to discuss convection stabilization procedures, steady and transient state equations, and numerical solution of fluid dynamic s: 2.

keyword: Fluid-structure interaction, arbitrary Lag-rangian-Eulerian formulation, finite element methods, coupled procedures, Lyapunov characteristic exponent, dynamic stability. 1 Introduction The analysis of a coupled multi-physics system is fre-quently required today to understand (and optimize) the behavior of the system.

Finite element analysis for a pressure–stress formulation of a fluid–structure interaction spectral problem Article in Computers & Mathematics with Applications 68(12) November with T1 - On finite element analysis of fluid flows fully coupled with structural interactions.

AU - Rugonyi, S. AU - Bathe, K. PY - /12/1. Y1 - /12/1. N2 - The solution of fluid flows, modeled using the Navier-Stokes or Euler equations, fully coupled with structures/solids is considered. This can cause vibration problems. In the present work, a finite element formulation for the fully coupled dynamic equations of motion to include the effect of fluid–structure interaction (FSI) is introduced and applied to a pipeline system used in nuclear reactors.

The fluid finite element model is based on flow velocity as the variable. Eulerian formulation that is coupled to the Lagrangian formulation of structures [15,16].

These can undergo very large deformations, be subjected to non-linear material conditions, and contact. The finite element procedures used to model the structures in particular including contact conditions are described elsewhere [9,17]. The problem consists of an elastic structure with surface-mounted piezoelectric patches coupled with a compressible inviscid fluid.

The piezoelectric elements, connected with resonant shunt circuits, are used for the vibration damping of the coupled system. This book covers finite element methods for several typical eigenvalues that arise from science and engineering.

Both theory and implementation are covered in depth at the graduate level. The background for typical eigenvalue problems is included along with functional analysis tools, finite element discretization methods, convergence analysis.

where ρ f is the fluid density and v is the fluid velocity vector with three components. β is the compressibility of the fluid (β = 1/ρ f c 2). Eqn.

1 is the conservation of the mass equation, Eqn. 2 is the definition of the compressibility and Eqn. 3 is the conservation of momentum equation (i.e.

Navier-Stokes equation). The nonlinear convection term v ∇v in the Navier-Stokes. — Finite Element Analysis of Solids and Fluids Fall ‘08 Lecture 4 - Finite element formulation for solids and structures Prof.

K.J. Bathe MIT OpenCourseWare We considered a general 3D body, Reading: Ch. 4 The exact solution of the mathematical model must satisfy the conditions: • Equilibrium within tV and on tS f, • Compatibility.

The Finite Element Method for Fluid Dynamics offers a complete introduction the application of the finite element method to fluid mechanics. The book begins with a useful summary of all relevant partial differential equations before moving on to discuss convection stabilization procedures, steady and transient state equations, and numerical solution of fluid dynamic equations.

The speedy computation of eigenvalue problems is the key point in structure dynamics. In this paper, by combining transfer matrix method and finite element method, the modified finite element-transfer matrix method and its algorithm for eigenvalue problems are presented. This work deals with a finite element procedure developed to perform the eigenvalue analysis of damped gyroscopic systems, represented by flexible rotors supported on fluid film journal bearings.

The rotor finite element model is based on the Timoshenko beam theory, accounting for the shaft rotary inertia and gyroscopic moments.

The governing equations for the hydrodynamic journal bearing are. Finite element formulations for fluid-structure interaction assuming an inviscid fluid can be classified into two major categories - displacement-based formulations and potential-based formulations.

Although displacement-based formulations have been used widely for analysis of both. Finite Element Solution of Fluid-Structure Interaction Problems Gordon C. Everstine Naval Surface Warfare Center, Carderock Div. "Coupled Finite Element/Boundary Element Approach for Fluid-Structure Interaction," J.

Acoust. Soc. "Finite Element Formulations of Structural Acoustics Problems," Computers and Structures. The Finite Element Method for the Analysis of Non-Linear and Dynamic Systems Prof. Dr. Eleni Chatzi Lecture 1 - 17 September, Eigenvalue Problems Special Topics The Finite Element (FE) formulation The Iso-Parametric Mapping Structural Finite Elements The Bar Element The Beam Element.The time-dependent finite-element analysis topic is addressed through the problem of unsteady stator/rotor flow interaction within a turbomachinery stage.

Finally, the concept of 'virtually-deformable finite elements', as it relates to the problem of fluid-induced vibration, is explained in detail with many practical applications.An effective coupled deformation-flow analysis finite element model for unsaturated soils, should consist of the following elements: (1) governing equations and corresponding finite element formulation that represent the physical phenomena of unsaturated soils more closely and capable of calculating deformation-flow.