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Journal ArticleDOI

A semi-analytical coupled finite element formulation for shells conveying fluids

01 Feb 2002-Computers & Structures (Pergamon)-Vol. 80, Iss: 3, pp 271-286
TL;DR: In this article, a semi-analytical finite element method was proposed for elastic shells conveying fluids, where the structural equations are based on the shell element proposed by Ramasamy and Ganesan [Comput Struct 70 (1998) 363] while the fluid model is based on velocity potential.
About: This article is published in Computers & Structures.The article was published on 2002-02-01. It has received 46 citations till now. The article focuses on the topics: Mixed finite element method & Fluid mechanics.
Citations
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Book
19 May 2005
TL;DR: In this article, the authors present a detailed review of liquid sloshing dynamics in rigid containers, including linear forced and non-linear interaction under external and parametric excitations.
Abstract: Preface Introduction 1. Fluid field equations and modal analysis in rigid containers 2. Linear forced sloshing 3. Viscous damping and sloshing suppression devices 4. Weakly nonlinear lateral sloshing 5. Equivalent mechanical models 6. Parametric sloshing (Faraday's waves) 7. Dynamics of liquid sloshing impact 8. Linear interaction of liquid sloshing with elastic containers 9. Nonlinear interaction under external and parametric excitations 10. Interactions with support structures and tuned sloshing absorbers 11. Dynamics of rotating fluids 12. Microgravity sloshing dynamics Bibliography Index.

920 citations

Journal ArticleDOI
TL;DR: A broad overview of the literature pertaining to the dynamic analysis of fluid-filled pipe systems considering fluid-structure interaction (FSI) is provided in this article, where various types of models and simulation algorithms of different levels of sophistication are compared and their application range discussed.

131 citations

Journal ArticleDOI
TL;DR: In this paper, the authors investigated the vibration of functionally graded cylindrical shells with flowing fluid, embedded in an elastic medium, under mechanical and thermal loads, by considering rotary inertia, the first-order shear deformation theory (FSDT) and the fluid velocity potential.
Abstract: This paper reports the results of an investigation into the vibration of functionally graded cylindrical shells with flowing fluid, embedded in an elastic medium, under mechanical and thermal loads. By considering rotary inertia, the first-order shear deformation theory (FSDT) and the fluid velocity potential, the dynamic equation of functionally graded cylindrical shells with flowing fluid is derived. Here, heat conduction equation along the thickness of the shell is applied to determine the temperature distribution and material properties are assumed to be graded distribution along the thickness direction according to a power-law in terms of the volume fractions of the constituents. The equations of eigenvalue problem are obtained by using a modal expansion method. In numerical examples, effects of material composition, thermal loading, static axial loading, flow velocity, medium stiffness and shell geometry parameters on the free vibration characteristics are described. The new features in this paper are helpful for the application and the design of functionally graded cylindrical shells containing fluid flow.

79 citations

Journal ArticleDOI
TL;DR: In this article, the dynamic properties of fluid-conveying functionally graded materials (FGMs) cylindrical shells subjected to dynamic mechanical and thermal loads are investigated, where material properties of FGM shells are considered as graded distribution across the shell thickness according to a power-law, and dynamic thermal loads applied on the shell is considered as non-linear distribution across a thickness of the shell.

58 citations

Book ChapterDOI
01 May 2005
TL;DR: In this paper, the Dirichlet boundary conditions are classified into three classes: Neumann boundary conditions, Cauchy boundary conditions and Cauchey boundary conditions for a partially filled container.
Abstract: Introduction The theory of liquid sloshing dynamics in partially filled containers is based on developing the fluid field equations, estimating the fluid free-surface motion, and the resulting hydrodynamic forces and moments. Explicit solutions are possible only for a few special cases such as upright cylindrical and rectangular containers. The boundary value problem is usually solved for modal analysis and for the dynamic response characteristics to external excitations. The modal analysis of a liquid free-surface motion in a partially filled container estimates the natural frequencies and the corresponding mode shapes. The knowledge of the natural frequencies is essential in the design process of liquid tanks and in implementing active control systems in space vehicles. The natural frequencies of the free liquid surface appear in the combined boundary condition (kinematic and dynamic) rather than in the fluid continuity (Laplace's) equation. For an open surface, which does not completely enclose the field, the boundary conditions usually specify the value of the field at every point on the boundary surface or the normal gradient to the container surface, or both. The boundary conditions may be classified into three classes (Morse and Fesbach, 1953): the Dirichlet boundary conditions , which fix the value of the field on the surface; the Neumann boundary conditions , which fix the value of the normal gradient on the surface; and the Cauchy conditions , which fix both value of the field and normal gradient on the surface. Each class is appropriate for different types of equations and different boundary surfaces.

48 citations

References
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Book
01 Jan 1983

34,729 citations

Book
25 Feb 2014
TL;DR: In this article, the first volume of the Fluid-Structure Interaction (FSI) series, Volume 1 covers the fundamentals and mechanisms giving rise to flow-induced vibration, with a particular focus on the challenges associated with pipes conveying fluid.
Abstract: The first of two books concentrating on the dynamics of slender bodies within or containing axial flow, Fluid-Structure Interaction, Volume 1 covers the fundamentals and mechanisms giving rise to flow-induced vibration, with a particular focus on the challenges associated with pipes conveying fluid. This volume has been thoroughly updated to reference the latest developments in the field, with a continued emphasis on the understanding of dynamical behaviour and analytical methods needed to provide long-term solutions and validate the latest computational methods and codes. In this edition, Chapter 7 from Volume 2 has also been moved to Volume 1, meaning that Volume 1 now mainly treats the dynamics of systems subjected to internal flow, whereas in Volume 2 the axial flow is in most cases external to the flow or annular. * Provides an in-depth review of an extensive range of fluid-structure interaction topics, with detailed real-world examples and thorough referencing throughout for additional detail. * Organized by structure and problem type, allowing you to dip into the sections that are relevant to the particular problem you are facing, with numerous appendices containing the equations relevant to specific problems. * Supports development of long-term solutions by focusing on the fundamentals and mechanisms needed to understand underlying causes and operating conditions under which apparent solutions might not prove effective.

1,175 citations

Journal ArticleDOI
TL;DR: In this article, a review of the dynamics of pipes conveying fluid is presented, with a focus on the nonlinear and chaotic dynamics of pipe conveying systems, and a selective review of recent work on this problem is presented.

419 citations

Book
01 Dec 1987
TL;DR: In this article, the flow-induced vibration of circular cylinders in quiescent fluid, axial flow, and crossflow was analyzed and applications of analytical methods and experimental data in design evaluation of various system components.
Abstract: This report summarizes the flow-induced vibration of circular cylinders in quiescent fluid, axial flow, and crossflow, and applications of the analytical methods and experimental data in design evaluation of various system components consisting of circular cylinders.

345 citations

Journal ArticleDOI
TL;DR: In this paper, the authors show that the principal disadvantage of the non-symmetric coefficient matrices can be removed merely by reformulating the pressure solution approach so that a velocity potential rather than pressure is used as the fundamental unknown in the fluid region.

223 citations