Author: Ralph E. Kleinman
Publisher:
ISBN:
Category : Floating bodies
Languages : en
Pages : 70
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Book Description
The generation of surface waves in a fluid caused by a partially submerged body is modeled mathematically as a boundary value problem for the Laplacian with Neumann data on the bottom of the fluid container and on the body, a linearized free surface condition and a radiation condition at infinity. Fritz John (Comm. Pure Appl. Math., III, 1950) showed that the problem had a unique solution only under rather restrictive assumptions on the body geometry and reformulated the problem as an integral equation which was not uniquely solvable at certain irregular frequencies. In the present work, uniqueness is established for more general geometries, allowing corners and nonnormal intersections of the body with the free surfaces. Also presented are two methods of modifying the integral equation so that it is uniquely solvable for all frequencies. One method involves introducing an additional integral on the waterplane, while in the second method, an additional integral term is added to the equation which remains an equation only over the submerged portion of the body.
Author: J. J. Stoker
Publisher: Forgotten Books
ISBN: 9780332403069
Category : Science
Languages : en
Pages : 150
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Book Description
Excerpt from The Motion of a Ship, as a Floating Rigid Body, in a Seaway The purpose of this report is to develop the mathematical theory for the motion of a ship, to be treated as a freelv floating rigid body under the action of given external forces (a propeller thrust, for example), under the most general conditions compatible with a linear theory and tne assumption of an infin oi te ocean. About the Publisher Forgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.com This book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully; any imperfections that remain are intentionally left to preserve the state of such historical works.
Author: Ronald W. Yeung
Publisher:
ISBN:
Category : Offshore structures
Languages : en
Pages : 616
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Book Description
Author: James Johnston Stoker
Publisher: Courier Dover Publications
ISBN: 0486839923
Category : Science
Languages : en
Pages : 593
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Book Description
First published in 1957, this is a classic monograph in the area of applied mathematics. It offers a connected account of the mathematical theory of wave motion in a liquid with a free surface and subjected to gravitational and other forces, together with applications to a wide variety of concrete physical problems. A never-surpassed text, it remains of permanent value to a wide range of scientists and engineers concerned with problems in fluid mechanics. The four-part treatment begins with a presentation of the derivation of the basic hydrodynamic theory for non-viscous incompressible fluids and a description of the two principal approximate theories that form the basis for the rest of the book. The second section centers on the approximate theory that results from small-amplitude wave motions. A consideration of problems involving waves in shallow water follows, and the text concludes with a selection of problems solved in terms of the exact theory. Despite the diversity of its topics, this text offers a unified, readable, and largely self-contained treatment.
Author: Touvia Miloh
Publisher: SIAM
ISBN: 9780898712773
Category : Science
Languages : en
Pages : 554
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Book Description
To honor Professor Marshall P. Tulin on his 65th birthday (March 14, 1991), fluid mechanicians and applied mathematicians who have had close association and collaborated with Tulin during his career contribute papers in various areas related to his main interest naval hydrodynamics. No index. Annota
Author: K.-H. Hoffmann
Publisher: Birkhäuser
ISBN: 3034876270
Category : Science
Languages : en
Pages : 227
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Book Description
This volume contains the contributions of participants of the conference "Optimal Control of Partial Differential Equations" which, under the chairmanship of the editors, took place at the Mathematisches Forschungsinstitut Oberwolfach from May 18 to May 24, 1986. The great variety of topics covered by the contributions strongly indicates that also in the future it will be impossible to develop a unifying control theory of partial differential equations. On the other hand, there is a strong tendency to treat prob lems which are directly connected to practical applications. So this volume contains real-world applications like optimal cooling laws for the production of rolled steel or concrete solutions for the problem of optimal shape design in mechanics and hydrody namics. Another main topic is the construction of numerical methods. This includes applications of the finite element method as well as of Quasi-Newton-methods to con strained and unconstrained control problems. Also, very complex problems arising in the theory of free boundary value problems are treated. ]~inally, some contribu tions show how practical problems stimulate the further development of the theory; in particular, this is the case for fields like suboptimal control, necessary optimality conditions and sensitivity analysis. As usual, the lectures and stimulating discussions took place in the pleasant at mosphere of the Mathematisches Forschungsinstitut Oberwolfach. Special thanks of the participants are returned to the Director as well as to the staff of the institute.
Author: Adrianus Jurianus Hermans
Publisher:
ISBN:
Category :
Languages : en
Pages : 36
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Book Description
Author:
Publisher:
ISBN:
Category : Aeronautics
Languages : en
Pages : 1368
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Book Description
Author: Qinghua Du
Publisher: Elsevier
ISBN: 1483146669
Category : Technology & Engineering
Languages : en
Pages : 742
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Book Description
Boundary Elements contains the proceedings of the International Conference on Boundary Elements Methods held at Beijing, China on October 14-17, 1986. The conference aims at interchanging the developments of the boundary element method or the boundary integral equation method, as well as the techniques and advances in many engineering, physical, or mechanical field. The various papers presented in the conference are organized in this book into eight parts. Part I talks about engineering in general. Subsequent parts focus on fluid mechanics, thermo-mechanics, solid mechanics, and dynamics. Applications of boundary elements method to shell and plate analyses, as well as to other types of analysis, are also shown in other parts in this book.
Author: Thomas Craig
Publisher: Legare Street Press
ISBN: 9781017632170
Category :
Languages : en
Pages : 0
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Book Description
This work has been selected by scholars as being culturally important, and is part of the knowledge base of civilization as we know it. This work is in the "public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.
