Variational Methods In Engineering

Author : Karel Rektorys
Publisher : Springer Science & Business Media
Page : 566 pages
File Size : 53,6 Mb
Release : 2012-12-06
Category : Science
ISBN : 9789401164504

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Variational Methods in Mathematics, Science and Engineering by Karel Rektorys Pdf

The impulse which led to the writing of the present book has emerged from my many years of lecturing in special courses for selected students at the College of Civil Engineering of the Tech nical University in Prague, from experience gained as supervisor and consultant to graduate students-engineers in the field of applied mathematics, and - last but not least - from frequent consultations with technicians as well as with physicists who have asked for advice in overcoming difficulties encountered in solving theoretical problems. Even though a varied combination of problems of the most diverse nature was often in question, the problems discussed in this book stood forth as the most essential to this category of specialists. The many discussions I have had gave rise to considerations on writing a book which should fill the rather unfortunate gap in our literature. The book is designed, in the first place, for specialists in the fields of theoretical engineering and science. However, it was my aim that the book should be of interest to mathematicians as well. I have been well aware what an ungrateful task it may be to write a book of the present type, and what problems such an effort can bring: Technicians and physicists on the one side, and mathematicians on the other, are often of diametrically opposing opinions as far as books con ceived for both these categories are concerned.

Author : Kevin W. Cassel
Publisher : Cambridge University Press
Page : 433 pages
File Size : 49,8 Mb
Release : 2013-07-22
Category : Mathematics
ISBN : 9781107022584

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Variational Methods with Applications in Science and Engineering by Kevin W. Cassel Pdf

This book reflects the strong connection between calculus of variations and the applications for which variational methods form the foundation.

Author : Bozidar D. Vujanovic,Teodor M. Atanackovic
Publisher : Springer Science & Business Media
Page : 350 pages
File Size : 47,8 Mb
Release : 2012-12-06
Category : Technology & Engineering
ISBN : 9780817681623

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An Introduction to Modern Variational Techniques in Mechanics and Engineering by Bozidar D. Vujanovic,Teodor M. Atanackovic Pdf

* Atanackovic has good track record with Birkhauser: his "Theory of Elasticity" book (4072-X) has been well reviewed. * Current text has received two excellent pre-pub reviews. * May be used as textbook in advanced undergrad/beginning grad advanced dynamics courses in engineering, physics, applied math departments. *Also useful as self-study reference for researchers and practitioners. * Many examples and novel applications throughout. Competitive literature---Meirovich, Goldstein---is outdated and does not include the synthesis of topics presented here.

Author : Junuthula Narasimha Reddy
Publisher : Unknown
Page : 568 pages
File Size : 42,9 Mb
Release : 1991
Category : Mathematics
ISBN : STANFORD:36105023485589

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Applied Functional Analysis and Variational Methods in Engineering by Junuthula Narasimha Reddy Pdf

Author : C. A. Brebbia,H. Tottenham
Publisher : Unknown
Page : 672 pages
File Size : 55,9 Mb
Release : 1973
Category : Mathematics
ISBN : WISC:89038802930

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Variational Methods in Engineering by C. A. Brebbia,H. Tottenham Pdf

Author : Eduardo Souza de Cursi
Publisher : John Wiley & Sons
Page : 430 pages
File Size : 49,6 Mb
Release : 2015-10-19
Category : Mathematics
ISBN : 9781848219144

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Variational Methods for Engineers with Matlab by Eduardo Souza de Cursi Pdf

This book is issued from a 30 years’ experience on the presentation of variational methods to successive generations of students and researchers in Engineering. It gives a comprehensive, pedagogical and engineer-oriented presentation of the foundations of variational methods and of their use in numerical problems of Engineering. Particular applications to linear and nonlinear systems of equations, differential equations, optimization and control are presented. MATLAB programs illustrate the implementation and make the book suitable as a textbook and for self-study. The evolution of knowledge, of the engineering studies and of the society in general has led to a change of focus from students and researchers. New generations of students and researchers do not have the same relations to mathematics as the previous ones. In the particular case of variational methods, the presentations used in the past are not adapted to the previous knowledge, the language and the centers of interest of the new generations. Since these methods remain a core knowledge – thus essential - in many fields (Physics, Engineering, Applied Mathematics, Economics, Image analysis ...), a new presentation is necessary in order to address variational methods to the actual context.

Author : Anonim
Publisher : Unknown
Page : 128 pages
File Size : 47,8 Mb
Release : 1973
Category : Electronic
ISBN : OCLC:664602290

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Variational Methods in Engineering by Anonim Pdf

Author : J.T. Oden,J.N. Reddy
Publisher : Springer Science & Business Media
Page : 313 pages
File Size : 49,7 Mb
Release : 2012-12-06
Category : Technology & Engineering
ISBN : 9783642963124

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Variational Methods in Theoretical Mechanics by J.T. Oden,J.N. Reddy Pdf

This is a textbook written for use in a graduate-level course for students of mechanics and engineering science. It is designed to cover the essential features of modern variational methods and to demonstrate how a number of basic mathematical concepts can be used to produce a unified theory of variational mechanics. As prerequisite to using this text, we assume that the student is equipped with an introductory course in functional analysis at a level roughly equal to that covered, for example, in Kolmogorov and Fomin (Functional Analysis, Vol. I, Graylock, Rochester, 1957) and possibly a graduate-level course in continuum mechanics. Numerous references to supplementary material are listed throughout the book. We are indebted to Professor Jim Douglas of the University of Chicago, who read an earlier version of the manuscript and whose detailed suggestions were extremely helpful in preparing the final draft. He also gratefully acknowledge that much of our own research work on variational theory was supported by the U.S. Air Force Office of Scientific Research. He are indebted to Mr. Ming-Goei Sheu for help in proofreading. Finally, we wish to express thanks to Mrs. Marilyn Gude for her excellent and pains taking job of typing the manuscript. J. T. ODEN J. N. REDDY Table of Contents PREFACE 1. INTRODUCTION 1.1 The Role of Variational Theory in Mechanics. 1 1.2 Some Historical Comments ......... . 2 1.3 Plan of Study ............... . 5 7 2. MATHEMATICAL FOUNDATIONS OF CLASSICAL VARIATIONAL THEORY 7 2.1 Introduction . . . . . . . .

Author : K. B. M. Nambudiripad
Publisher : Unknown
Page : 0 pages
File Size : 55,5 Mb
Release : 2016-01-30
Category : Calculus of variations
ISBN : 8184875142

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Variational Methods in Engineering by K. B. M. Nambudiripad Pdf

As variational methods are of great importance to aerospace, civil and mechanical engineers, the emphasis in this book is on applications to engineering, but the mathematics that serves as the foundation is also given its due importance. Copious footnotes and a large number of illustrative examples are a feature of the book.

Author : Andrej Cherkaev
Publisher : Springer Science & Business Media
Page : 561 pages
File Size : 40,7 Mb
Release : 2012-12-06
Category : Science
ISBN : 9781461211884

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Variational Methods for Structural Optimization by Andrej Cherkaev Pdf

This book bridges a gap between a rigorous mathematical approach to variational problems and the practical use of algorithms of structural optimization in engineering applications. The foundations of structural optimization are presented in sufficiently simple form as to make them available for practical use.

Author : C. A. Brebbia
Publisher : Springer
Page : 562 pages
File Size : 53,8 Mb
Release : 1985
Category : Boundary element methods
ISBN : UCAL:B4527727

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Variational Methods in Engineering by C. A. Brebbia Pdf

Author : Francesco dell'Isola,Sergey Gavrilyuk
Publisher : Springer Science & Business Media
Page : 363 pages
File Size : 47,8 Mb
Release : 2012-01-15
Category : Technology & Engineering
ISBN : 9783709109830

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Variational Models and Methods in Solid and Fluid Mechanics by Francesco dell'Isola,Sergey Gavrilyuk Pdf

F. dell'Isola, L. Placidi: Variational principles are a powerful tool also for formulating field theories. - F. dell'Isola, P. Seppecher, A. Madeo: Beyond Euler-Cauchy Continua. The structure of contact actions in N-th gradient generalized continua: a generalization of the Cauchy tetrahedron argument. - B. Bourdin, G.A. Francfort: Fracture. - S. Gavrilyuk: Multiphase flow modeling via Hamilton's principle. - V. L. Berdichevsky: Introduction to stochastic variational problems. - A. Carcaterra: New concepts in damping generation and control: theoretical formulation and industrial applications. - F. dell'Isola, P. Seppecher, A. Madeo: Fluid shock wave generation at solid-material discontinuity surfaces in porous media. Variational methods give an efficient and elegant way to formulate and solve mathematical problems that are of interest to scientists and engineers. In this book three fundamental aspects of the variational formulation of mechanics will be presented: physical, mathematical and applicative ones. The first aspect concerns the investigation of the nature of real physical problems with the aim of finding the best variational formulation suitable to those problems. The second aspect is the study of the well-posedeness of those mathematical problems which need to be solved in order to draw previsions from the formulated models. And the third aspect is related to the direct application of variational analysis to solve real engineering problems.

Author : Hans Petter Langtangen,Kent-Andre Mardal
Publisher : Springer Nature
Page : 395 pages
File Size : 43,8 Mb
Release : 2019-09-26
Category : Mathematics
ISBN : 9783030237882

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Introduction to Numerical Methods for Variational Problems by Hans Petter Langtangen,Kent-Andre Mardal Pdf

This textbook teaches finite element methods from a computational point of view. It focuses on how to develop flexible computer programs with Python, a programming language in which a combination of symbolic and numerical tools is used to achieve an explicit and practical derivation of finite element algorithms. The finite element library FEniCS is used throughout the book, but the content is provided in sufficient detail to ensure that students with less mathematical background or mixed programming-language experience will equally benefit. All program examples are available on the Internet.

Author : Toshio Mura,Tatsuhito Koya,Demitris Kouris
Publisher : Oxford University Press on Demand
Page : 244 pages
File Size : 40,9 Mb
Release : 1992
Category : Fiction
ISBN : 0195068300

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Variational Methods in Mechanics by Toshio Mura,Tatsuhito Koya,Demitris Kouris Pdf

The recent success and popularity of the finite-element method, crucial to solving mathematical problems in many branches of engineering today, is based on the variational methods discussed in this textbook. The author, Toshio Mura, is a distinguished engineer and applied mathematician who brings to the work a highly pragmatic approach designed to facilitate teaching the subject, which is essential for all materials science and mechanical and civil engineering students. In addition to all basic topics, the authors cover state-of-the-art research findings, such as those involving composite materials.

Author : Walter Wunderlich,Walter D. Pilkey
Publisher : CRC Press
Page : 911 pages
File Size : 45,7 Mb
Release : 2002-12-26
Category : Mathematics
ISBN : 9781420041835

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Mechanics of Structures by Walter Wunderlich,Walter D. Pilkey Pdf

Resoundingly popular in its first edition, the second edition of Mechanics of Structures: Variational and Computational Methods promises to be even more so, with broader coverage, expanded discussions, and a streamlined presentation. The authors begin by describing the behavior of deformable solids through the differential equations for the