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Author : A. M. Arthurs
Publisher : Oxford University Press, USA
Page : 172 pages
File Size : 49,5 Mb
Release : 1980
Category : Boundary value problems
ISBN : UCAL:B4405339
Author : Arnold Magowan Arthurs
Publisher : Unknown
Page : 128 pages
File Size : 51,9 Mb
Release : 1970
Category : Electronic
ISBN : OCLC:1078997788
Author : A. M. Arthurs
Publisher : Unknown
Page : 116 pages
File Size : 49,7 Mb
Release : 1970
Category : Mathematics
ISBN : UOM:39015015688446
Author : Haichang Hu
Publisher : CRC Press
Page : 514 pages
File Size : 46,6 Mb
Release : 1984
Category : Calculus of variations
ISBN : 0677313306
Author : Ismael Herrera
Publisher : Unknown
Page : 66 pages
File Size : 49,7 Mb
Release : 1974
Category : Calculus of variations
ISBN : UTEXAS:059173023337121
Author : David Yang Gao
Publisher : Springer Science & Business Media
Page : 463 pages
File Size : 54,7 Mb
Release : 2013-03-09
Category : Mathematics
ISBN : 9781475731767
Motivated by practical problems in engineering and physics, drawing on a wide range of applied mathematical disciplines, this book is the first to provide, within a unified framework, a self-contained comprehensive mathematical theory of duality for general non-convex, non-smooth systems, with emphasis on methods and applications in engineering mechanics. Topics covered include the classical (minimax) mono-duality of convex static equilibria, the beautiful bi-duality in dynamical systems, the interesting tri-duality in non-convex problems and the complicated multi-duality in general canonical systems. A potentially powerful sequential canonical dual transformation method for solving fully nonlinear problems is developed heuristically and illustrated by use of many interesting examples as well as extensive applications in a wide variety of nonlinear systems, including differential equations, variational problems and inequalities, constrained global optimization, multi-well phase transitions, non-smooth post-bifurcation, large deformation mechanics, structural limit analysis, differential geometry and non-convex dynamical systems. With exceptionally coherent and lucid exposition, the work fills a big gap between the mathematical and engineering sciences. It shows how to use formal language and duality methods to model natural phenomena, to construct intrinsic frameworks in different fields and to provide ideas, concepts and powerful methods for solving non-convex, non-smooth problems arising naturally in engineering and science. Much of the book contains material that is new, both in its manner of presentation and in its research development. A self-contained appendix provides some necessary background from elementary functional analysis. Audience: The book will be a valuable resource for students and researchers in applied mathematics, physics, mechanics and engineering. The whole volume or selected chapters can also be recommended as a text for both senior undergraduate and graduate courses in applied mathematics, mechanics, general engineering science and other areas in which the notions of optimization and variational methods are employed.
Author : V. Komkov
Publisher : Springer Science & Business Media
Page : 394 pages
File Size : 44,9 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9789400945647
Approach your problems from the right end It isn't that they can't see the solution. It is and begin with the answers. Then one day, that they can't see the problem. perhaps you will find the final question. G. K. Chesterton. The Scandal of Father 'The Hermit Clad in Crane Feathers' in R. Brown 'The point of a Pin'. van Gulik's The Chinese Maze Murders. Growing specialization and diversification have brought a host of monographs and textbooks on increasingly specialized topics. However, the "tree" of knowledge of mathematics and related fields does not grow only by putting forth new branches. It also happens, quite often in fact, that branches which were thought to be completely disparate are suddenly seen to be related. Further, the kind and level of sophistication of mathematics applied in various sciences has changed drastically in recent years: measure theory is used (non trivially) in regional and theoretical economics; algebraic geometry interacts with physics; the Minkowsky lemma, coding theory and the structure of water meet one another in packing and covering theory; quantum fields, crystal defects and mathematical programming profit from homotopy theory; Lie algebras are relevant to filtering; and prediction and electrical engineering can use Stein spaces. And in addition to this there are such new emerging subdisciplines as "experimental mathematics", "CFD", "completely integrable systems", "chaos, synergetics and large-scale order", which are almost impossible to fit into the existing classification schemes. They draw upon widely different sections of mathematics.
Author : Anonim
Publisher : Unknown
Page : 1208 pages
File Size : 54,8 Mb
Release : 1970
Category : Nuclear engineering
ISBN : STANFORD:36105012479338
Author : J. N. Reddy
Publisher : John Wiley & Sons
Page : 618 pages
File Size : 52,8 Mb
Release : 2002-08-09
Category : Mathematics
ISBN : 047117985X
A systematic presentation of energy principles and variationalmethods The increasing use of numerical and computational methods inengineering and applied sciences has shed new light on theimportance of energy principles and variational methods. EnergyPrinciples and Variational Methods in Applied Mechanicsprovides a systematic and practical introduction to the use ofenergy principles, traditional variational methods, and the finiteelement method to the solution of engineering problems involvingbars, beams, torsion, plane elasticity, and plates. Beginning with a review of the basic equations of mechanics andthe concepts of work, energy, and topics from variational calculus,this book presents the virtual work and energy principles, energymethods of solid and structural mechanics, Hamilton'sprinciple for dynamical systems, and classical variational methodsof approximation. A unified approach, more general than that foundin most solid mechanics books, is used to introduce the finiteelement method. Also discussed are applications to beams andplates. Complete with more than 200 illustrations and tables, EnergyPrinciples and Variational Methods in Applied Mechanics, SecondEdition is a valuable book for students of aerospace, civil,mechanical, and applied mechanics; and engineers in design andanalysis groups in the aircraft, automobile, and civil engineeringstructures, as well as shipbuilding industries.
Author : J.T. Oden,J.N. Reddy
Publisher : Springer Science & Business Media
Page : 319 pages
File Size : 43,7 Mb
Release : 2012-12-06
Category : Science
ISBN : 9783642688119
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. We also gratefully acknowedge that much of our own research work on va ri at i ona 1 theory was supported by the U. S. Ai r Force Offi ce of Scientific Research. We 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 painstaking job of typing the manuscript. This revised edition contains only minor revisions of the first. Some misprints and errors have been corrected, and some sections were deleted, which were felt to be out of date.
Author : David Yang Gao
Publisher : Springer Science & Business Media
Page : 429 pages
File Size : 41,8 Mb
Release : 2012-11-08
Category : Technology & Engineering
ISBN : 9789048195770
Complementarity, duality, and symmetry are closely related concepts, and have always been a rich source of inspiration in human understanding through the centuries, particularly in mathematics and science. The Proceedings of IUTAM Symposium on Complementarity, Duality, and Symmetry in Nonlinear Mechanics brings together some of world's leading researchers in both mathematics and mechanics to provide an interdisciplinary but engineering flavoured exploration of the field's foundation and state of the art developments. Topics addressed in this book deal with fundamental theory, methods, and applications of complementarity, duality and symmetry in multidisciplinary fields of nonlinear mechanics, including nonconvex and nonsmooth elasticity, dynamics, phase transitions, plastic limit and shakedown analysis of hardening materials and structures, bifurcation analysis, entropy optimization, free boundary value problems, minimax theory, fluid mechanics, periodic soliton resonance, constrained mechanical systems, finite element methods and computational mechanics. A special invited paper presented important research opportunities and challenges of the theoretical and applied mechanics as well as engineering materials in the exciting information age. Audience: This book is addressed to all scientists, physicists, engineers and mathematicians, as well as advanced students (doctoral and post-doctoral level) at universities and in industry.
Author : Maurice Anthony Biot
Publisher : Unknown
Page : 208 pages
File Size : 51,5 Mb
Release : 1970
Category : Heat
ISBN : UCAL:B4532842
The book develops a variational treatment of heat transfer which includes heat conduction and convection. It is intended to provide the foundation of a unified analysis of irreversible processes by methods analogous to those of classical mechanics. This opens the way to a formulation of heat transfer and dissipative phenomena in complex systems by means of Lagrangian-type equations and generalized coordinates. At the same time this approach suggests many approximate procedures and drastic simplifications applicable to the practical solution of a large category of problems in physics and technology. (Author).
Author : Stephen Marvin
Publisher : John Wiley & Sons
Page : 734 pages
File Size : 55,9 Mb
Release : 2012-11-27
Category : Science
ISBN : 9781118582398
Dictionary of Scientific Principles presents a unique and timeless collection of (almost) all known rules or laws commonly called principles, identified throughout the history of scientific development, their definition, and use. Exploring a broad range of disciplines, the book first lists more than 2,000 principles organized in a standard alphabetical order, then provides a list of subject headings for which related principles are identified. A staple addition to every library, the dictionary will also be of interest to scientists and general readers.
Author : Anonim
Publisher : Academic Press
Page : 368 pages
File Size : 52,7 Mb
Release : 1988-04-15
Category : Computers
ISBN : 0080577369
Advances in Electronics and Electron Physics
Author : Anonim
Publisher : Academic Press
Page : 376 pages
File Size : 42,5 Mb
Release : 1984-09-11
Category : Technology & Engineering
ISBN : 008056402X
Advances in Applied Mechanics