optimization in mechanics problems and methods north holland series in applied mathematics and mechanics

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Optimization In Mechanics

Author : P. Brousse
ISBN : 9781483290140
Genre : Technology & Engineering
File Size : 52. 30 MB
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Optimization in Mechanics: Problems and Methods investigates various problems and methods of optimization in mechanics. The subjects under study range from minimization of masses and stresses or displacements, to maximization of loads, vibration frequencies, and critical speeds of rotating shafts. Comprised of seven chapters, this book begins by presenting examples of optimization problems in mechanics and considering their application, as well as illustrating the usefulness of some optimizations like those of a reinforced shell, a robot, and a booster. The next chapter outlines some of the mathematical concepts that form the framework for optimization methods and techniques and demonstrates their efficiency in yielding relevant results. Subsequent chapters focus on the Kuhn Tucker theorem and duality, with proofs; associated problems and classical numerical methods of mathematical programming, including gradient and conjugate gradient methods; and techniques for dealing with large-scale problems. The book concludes by describing optimizations of discrete or continuous structures subject to dynamical effects. Mass minimization and fundamental eigenvalue problems as well as problems of minimization of some dynamical responses are studied. This monograph is written for students, engineers, scientists, and even self-taught individuals.

Online Optimization Of Large Scale Systems

Author : Martin Grötschel
ISBN : 9783662043318
Genre : Mathematics
File Size : 87. 81 MB
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In its thousands of years of history, mathematics has made an extraordinary ca reer. It started from rules for bookkeeping and computation of areas to become the language of science. Its potential for decision support was fully recognized in the twentieth century only, vitally aided by the evolution of computing and communi cation technology. Mathematical optimization, in particular, has developed into a powerful machinery to help planners. Whether costs are to be reduced, profits to be maximized, or scarce resources to be used wisely, optimization methods are available to guide decision making. Opti mization is particularly strong if precise models of real phenomena and data of high quality are at hand - often yielding reliable automated control and decision proce dures. But what, if the models are soft and not all data are around? Can mathematics help as well? This book addresses such issues, e. g. , problems of the following type: - An elevator cannot know all transportation requests in advance. In which order should it serve the passengers? - Wing profiles of aircrafts influence the fuel consumption. Is it possible to con tinuously adapt the shape of a wing during the flight under rapidly changing conditions? - Robots are designed to accomplish specific tasks as efficiently as possible. But what if a robot navigates in an unknown environment? - Energy demand changes quickly and is not easily predictable over time. Some types of power plants can only react slowly.

Modelling And Optimization Of Distributed Parameter Systems Applications To Engineering

Author : K. Malanowski
ISBN : 9780387349220
Genre : Computers
File Size : 69. 7 MB
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New Technical Books

Author :
ISBN : UOM:39015063566544
Genre : Engineering
File Size : 87. 16 MB
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Variational Methods For Structural Optimization

Author : Andrej Cherkaev
ISBN : 0387984623
Genre : Science
File Size : 63. 83 MB
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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.

Smart Structures And Materials

Author :
ISBN : UOM:39015047343150
Genre : Smart materials
File Size : 58. 18 MB
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Report Danish Center For Applied Mathematics And Mechanics

Author : Danish Center for Applied Mathematics and Mechanics
ISBN : UOM:39015058896757
Genre : Mechanics, Applied
File Size : 76. 41 MB
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Notices Of The American Mathematical Society

Author : American Mathematical Society
ISBN : UCAL:B3647858
Genre : Mathematics
File Size : 88. 17 MB
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Books In Print

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ISBN : STANFORD:36105015915882
Genre : American literature
File Size : 72. 46 MB
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Modern Mathematical Methods In Technology

Author : S. Fenyo
ISBN : 9780444601902
Genre : Mathematics
File Size : 61. 2 MB
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Modern Mathematical Methods in Technology deals with applied mathematics and its finite methods. The book explains the linear algebra, optimization theory, and elements of the theory of graphs. This book explains the matrix theory and analysis, as well as the applications of matrix calculus. It discusses the linear mappings, basic matrix operations, hypermatrices, vector systems, and other algebraic concepts. In addition, it presents the sequences, series, continuity, differentiation, and integration of matrices, as well as the analytical matrix functions. The book discusses linear optimization, linear programming problems, and their solution. It also describes transportation problems and their solution by Hungarian method, as well as convex optimization and the Kuhn-Tucker theorem. The book discusses graphs including sub-, complete, and complementary graphs. It also presents the Boolean algebra and Ford-Fulkerson theorem. This book is invaluable to Math practitioners and non-practitioners.

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