Liquid Sloshing In An Elastic Container
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Liquid Sloshing In An Elastic Container
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Author : Pin Tong
language : en
Publisher:
Release Date : 1966
Liquid Sloshing In An Elastic Container written by Pin Tong and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1966 with categories.
The motion of a liquid in a flexible container is important for rocket structural dynamics. The purpose of the paper is to study the dynamic response of the liquid, the sloshing frequencies and the stability of the free surface of the liquid in an elastic container. The variational principle for the problem of an incompressible, inviscid fluid in an elastic container is presented by considering the pressure energy of the fluid, the surface energy, and the Lagrangian of the elastic thin shell. The corresponding linearized equations are studied in terms of eigenvalues and eigenfunctions. The effects of the gravitation, the surface tension, the rigidity of the container, the free surface contact angle and its dynamic variation, on the natural frequencies and the stability of the free surface are discussed. It is found that the flexibility of the container always lowers the natural frequencies and also induces a mean oscillatory motion of the liquid that creates an oscillatory force on the container in the vertical direction. The equilibrium contact angle and its dynamic variation have an important effect on the limit of stability. The motion of a liquid in a circular cylindrical container with a flat flexible bottom is worked out in detail analytically by means of eigenfunctions. Some results are presented graphically. A numerical scheme using finite elements method is developed for an arbitrary container. Methods for improving the solution systematically are indicated. (Author).
Liquid Sloshing In Elastic Containers
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Author : Helmut F. Bauer
language : en
Publisher:
Release Date : 1967
Liquid Sloshing In Elastic Containers written by Helmut F. Bauer and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1967 with Sloshing (Hydrodynamics) categories.
Liquid Sloshing Dynamics
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Author : Raouf A. Ibrahim
language : en
Publisher: Cambridge University Press
Release Date : 2005-05-19
Liquid Sloshing Dynamics written by Raouf A. Ibrahim and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005-05-19 with Technology & Engineering categories.
The problem of liquid sloshing in moving or stationary containers remains of great concern to aerospace, civil, and nuclear engineers; physicists; designers of road tankers and ship tankers; and mathematicians. Beginning with the fundamentals of liquid sloshing theory, this book takes the reader systematically from basic theory to advanced analytical and experimental results in a self-contained and coherent format. The book is divided into four sections. Part I deals with the theory of linear liquid sloshing dynamics; Part II addresses the nonlinear theory of liquid sloshing dynamics, Faraday waves, and sloshing impacts; Part III presents the problem of linear and nonlinear interaction of liquid sloshing dynamics with elastic containers and supported structures; and Part IV considers the fluid dynamics in spinning containers and microgravity sloshing. This book will be invaluable to researchers and graduate students in mechanical and aeronautical engineering, designers of liquid containers, and applied mathematicians.
Asme 68 Fe 20
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Author : H. F. Bauer
language : en
Publisher:
Release Date : 1968
Asme 68 Fe 20 written by H. F. Bauer and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1968 with Liquid propellant rockets categories.
Liquid Sloshing In Elastic Containers
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Author : Helmut F. Bauer
language : en
Publisher:
Release Date : 1967
Liquid Sloshing In Elastic Containers written by Helmut F. Bauer and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1967 with Sloshing (Hydrodynamics) categories.
Liquid Sloshing Dynamics
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Author : Raouf A. Ibrahim
language : en
Publisher:
Release Date : 2005-09
Liquid Sloshing Dynamics written by Raouf A. Ibrahim and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005-09 with Science categories.
This book deals with almost every aspect of liquid sloshing dynamics.
Liquid Sloshing Dynamics
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Author : Raouf A. Ibrahim
language : en
Publisher: Cambridge University Press
Release Date : 2005-05-19
Liquid Sloshing Dynamics written by Raouf A. Ibrahim and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005-05-19 with Technology & Engineering categories.
The problem of liquid sloshing in moving or stationary containers remains of great concern to aerospace, civil, and nuclear engineers; physicists; designers of road tankers and ship tankers; and mathematicians. Beginning with the fundamentals of liquid sloshing theory, this book takes the reader systematically from basic theory to advanced analytical and experimental results in a self-contained and coherent format. The book is divided into four sections. Part I deals with the theory of linear liquid sloshing dynamics; Part II addresses the nonlinear theory of liquid sloshing dynamics, Faraday waves, and sloshing impacts; Part III presents the problem of linear and nonlinear interaction of liquid sloshing dynamics with elastic containers and supported structures; and Part IV considers the fluid dynamics in spinning containers and microgravity sloshing. This book will be invaluable to researchers and graduate students in mechanical and aeronautical engineering, designers of liquid containers, and applied mathematicians.
Sloshing In Upright Circular Containers
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Author : Ihor Raynovskyy
language : en
Publisher: CRC Press
Release Date : 2020-10-08
Sloshing In Upright Circular Containers written by Ihor Raynovskyy and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-10-08 with Technology & Engineering categories.
This book presents mathematical fundaments and results on sloshing in an upright circular cylindrical tank with semi-analytical solutions. The book outlines generic mathematical and physical aspects of the multimodal method, describes milestones, and presents several versions of modal systems for an upright circular tank, both linear and nonlinear. The book offers an extended description of the state-of-the-art theoretical sloshing with more than 200 references. It presents mathematical fundamentals of free-surface sloshing problems, details linear and nonlinear modal equations, provides analytical estimates of viscous damping, and covers stability analysis of steady-state solution. The book is for engineers dealing with sloshing, applied mathematicians working on free-surface problems, and lecturers in fluid mechanics that need to know the fundamentals and analytical solutions from surface wave theory.
Liquid Sloshing In Containers
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Author : Jeremy Graeme Anderson
language : en
Publisher:
Release Date : 2000
Liquid Sloshing In Containers written by Jeremy Graeme Anderson and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2000 with Liquids categories.
Applied Mechanics Reviews
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Author :
language : en
Publisher:
Release Date : 1971
Applied Mechanics Reviews written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1971 with Mechanics, Applied categories.