Topological Transformations for Efficient Structural Analysis PDF Download
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Author: Ali Kaveh
Publisher: Springer Nature
ISBN: 303112300X
Category : Technology & Engineering
Languages : en
Pages : 198
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Book Description
The author has published many papers and books on topological transformations for optimal analysis of structures, where many methods and algorithms are developed. However, the framework of this book generalizes many concepts and makes the previously developed methods conceptually more attractive. The aim of the present work is two folds. On the one hand, it shows to mathematicians how the apparently pure mathematical concepts can be applied to the efficient solution of problems in structural mechanics. On the other hand, it illustrates to engineers the important role of mathematical concepts for the solution of engineering problems. The present framework provides efficient means for looking at problems and developing ideas by transforming the models (structures, networks, systems) to other spaces (higher dimension, lower dimension, or identical dimension) to simplify the problems. This book is attractive for those who look at the deeper aspects of concepts and helps the reader to develop his/her own ideas. In general, it opens a new horizon for improving the existing methods in civil, mechanical, and electrical engineering.
Author: Ali Kaveh
Publisher: Springer Nature
ISBN: 303112300X
Category : Technology & Engineering
Languages : en
Pages : 198
Get Book Here
Book Description
The author has published many papers and books on topological transformations for optimal analysis of structures, where many methods and algorithms are developed. However, the framework of this book generalizes many concepts and makes the previously developed methods conceptually more attractive. The aim of the present work is two folds. On the one hand, it shows to mathematicians how the apparently pure mathematical concepts can be applied to the efficient solution of problems in structural mechanics. On the other hand, it illustrates to engineers the important role of mathematical concepts for the solution of engineering problems. The present framework provides efficient means for looking at problems and developing ideas by transforming the models (structures, networks, systems) to other spaces (higher dimension, lower dimension, or identical dimension) to simplify the problems. This book is attractive for those who look at the deeper aspects of concepts and helps the reader to develop his/her own ideas. In general, it opens a new horizon for improving the existing methods in civil, mechanical, and electrical engineering.
Author: Peer-Timo Bremer
Publisher: Springer Science & Business
ISBN: 3319040995
Category : Mathematics
Languages : en
Pages : 276
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Book Description
This collection of peer-reviewed conference papers provides comprehensive coverage of cutting-edge research in topological approaches to data analysis and visualization. It encompasses the full range of new algorithms and insights, including fast homology computation, comparative analysis of simplification techniques, and key applications in materials and medical science. The volume also features material on core research challenges such as the representation of large and complex datasets and integrating numerical methods with robust combinatorial algorithms. Reflecting the focus of the TopoInVis 2013 conference, the contributions evince the progress currently being made on finding experimental solutions to open problems in the sector. They provide an inclusive snapshot of state-of-the-art research that enables researchers to keep abreast of the latest developments and provides a foundation for future progress. With papers by some of the world’s leading experts in topological techniques, this volume is a major contribution to the literature in a field of growing importance with applications in disciplines that range from engineering to medicine.
Author: Manmohan Dass Goel
Publisher: Springer Nature
ISBN: 9819996252
Category :
Languages : en
Pages : 667
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Book Description
Author: N.B. Singh
Publisher: N.B. Singh
ISBN:
Category : Mathematics
Languages : en
Pages : 466
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Book Description
"Topology" is an introductory book that explores the basic concepts and principles of topology, a branch of mathematics focused on the properties of space that remain unchanged through continuous transformations. Aimed at absolute beginners, this book simplifies complex ideas with clear explanations and relatable examples, making it easy for readers to grasp foundational topics like shapes, spaces, and their relationships. Whether you're a student or simply curious about the world of mathematics, this book serves as a friendly guide to understanding the fascinating field of topology.
Author: B. H. V. Topping
Publisher: Hyperion Books
ISBN:
Category : Technology & Engineering
Languages : en
Pages : 334
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Book Description
Included in this volume are a selection of papers on developments in computational engineering mechanics. The papers were presented at the Fifth International Conference on Civil and Structural Engineering Computing held 17-19 August 1993, Edinburgh.
Author: Ronald Peikert
Publisher: Springer Science & Business Media
ISBN: 3642231756
Category : Mathematics
Languages : en
Pages : 299
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Book Description
When scientists analyze datasets in a search for underlying phenomena, patterns or causal factors, their first step is often an automatic or semi-automatic search for structures in the data. Of these feature-extraction methods, topological ones stand out due to their solid mathematical foundation. Topologically defined structures—as found in scalar, vector and tensor fields—have proven their merit in a wide range of scientific domains, and scientists have found them to be revealing in subjects such as physics, engineering, and medicine. Full of state-of-the-art research and contemporary hot topics in the subject, this volume is a selection of peer-reviewed papers originally presented at the fourth Workshop on Topology-Based Methods in Data Analysis and Visualization, TopoInVis 2011, held in Zurich, Switzerland. The workshop brought together many of the leading lights in the field for a mixture of formal presentations and discussion. One topic currently generating a great deal of interest, and explored in several chapters here, is the search for topological structures in time-dependent flows, and their relationship with Lagrangian coherent structures. Contributors also focus on discrete topologies of scalar and vector fields, and on persistence-based simplification, among other issues of note. The new research results included in this volume relate to all three key areas in data analysis—theory, algorithms and applications.
Author: Vladimir Kobelev
Publisher: Springer Nature
ISBN: 3031591402
Category :
Languages : en
Pages : 351
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Book Description
Author: Mitra Kanaani
Publisher: Taylor & Francis
ISBN: 104010777X
Category : Architecture
Languages : en
Pages : 727
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Book Description
This comprehensive companion surveys intelligent design thinking in architecture and urbanism, investigates multiple facets of "smart" approaches to design thinking that augment the potentials of user experiences as well as his/her physical and mental interactions with the built environment. Split into six paradigms, this volume looks at the theoretical and historical background of smart design, smart design methodologies and typologies, smart materials, smart design for extreme weather and climatic regions, as well as climate change issues and side effects, smart mobility, and the role of digital technologies and simulations in architectural and urban design. Often at odds with each other, this volume places emphasis on smart design for various typologies and user groups, emphasizing on advancements in form-making and implementation of technology for healthy and sustainable living environments. Written by emerging and established architects, planners, designers, scientists, and engineers from around the globe, this will be an essential reference volume for architecture and urban design students and scholars as well as those in related fields interested in the implications, various facets and futures of smart design.
Author: B. H. V. Topping
Publisher:
ISBN:
Category : Technology & Engineering
Languages : en
Pages : 516
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Book Description
Includes invited lectures presented at The Eighth International Conference on Civil and Structural Engineering Computing and The Sixth International Conference on the Application of Artificial Intelligence to Civil and Structural Engineering held in Eisenstadt, Vienna, Austria between 19-21 September 2001.
Author: Uri Shmueli
Publisher: Springer Science & Business Media
ISBN: 9781402082054
Category : Science
Languages : en
Pages : 704
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Book Description
International Tables for Crystallography are no longer available for purchase from Springer. For further information please contact Wiley Inc. (follow the link on the right hand side of this page). Volume B presents accounts of the numerous aspects of reciprocal space in crystallographic research. After an introductory chapter, Part 1 presents the reader with an account of structure-factor formalisms, an extensive treatment of the theory, algorithms and crystallographic applications of Fourier methods, and fundamental as well as advanced treatments of symmetry in reciprocal space. In Part 2, these general accounts are followed by detailed expositions of crystallographic statistics, the theory of direct methods, Patterson techniques, isomorphous replacement and anomalous scattering, and treatments of the role of electron microscopy and diffraction in crystal structure determination, including applications of direct methods to electron crystallography. Part 3 deals with applications of reciprocal space to molecular geometry and `best'-plane calculations, and contains a treatment of the principles of molecular graphics and modelling and their applications. A convergence-acceleration method of importance in the computation of approximate lattice sums is presented and the part concludes with a discussion of the Ewald method. Part 4 contains treatments of various diffuse-scattering phenomena arising from crystal dynamics, disorder and low dimensionality (liquid crystals), and an exposition of the underlying theories and/or experimental evidence. Polymer crystallography and reciprocal-space images of aperiodic crystals are also treated. Part 5 of the volume contains introductory treatments of the theory of the interaction of radiation with matter (dynamical theory) as applied to X-ray, electron and neutron diffraction techniques. The simplified trigonometric expressions for the structure factors in the 230 three-dimensional space groups, which appeared in Volume I of International Tables for X-ray Crystallography, are now given in Appendix 1.4.3 to Chapter 1.4 of this volume. Volume B is a vital addition to the library of scientists engaged in crystal structure determination, crystallographic computing, crystal physics and other fields of crystallographic research. Graduate students specializing in crystallography will find much material suitable for self-study and a rich source of references to the relevant literature.
