Topological Transformations For Efficient Structural Analysis

Author : Ali Kaveh
Publisher : Springer Nature
ISBN 13 : 303112300X
Total Pages : 198 pages
Book Rating : 4.09/5 ( download)

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Download or read book Topological Transformations for Efficient Structural Analysis written by Ali Kaveh and published by Springer Nature. This book was released on 2022-10-23 with total page 198 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 : A. Kaveh
Publisher : Springer Science & Business Media
ISBN 13 : 3319029649
Total Pages : 432 pages
Book Rating : 4.41/5 ( download)

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Download or read book Computational Structural Analysis and Finite Element Methods written by A. Kaveh and published by Springer Science & Business Media. This book was released on 2013-12-11 with total page 432 pages. Available in PDF, EPUB and Kindle. Book excerpt: Graph theory gained initial prominence in science and engineering through its strong links with matrix algebra and computer science. Moreover, the structure of the mathematics is well suited to that of engineering problems in analysis and design. The methods of analysis in this book employ matrix algebra, graph theory and meta-heuristic algorithms, which are ideally suited for modern computational mechanics. Efficient methods are presented that lead to highly sparse and banded structural matrices. The main features of the book include: application of graph theory for efficient analysis; extension of the force method to finite element analysis; application of meta-heuristic algorithms to ordering and decomposition (sparse matrix technology); efficient use of symmetry and regularity in the force method; and simultaneous analysis and design of structures.

Author : Manmohan Dass Goel
Publisher : Springer Nature
ISBN 13 : 9819996252
Total Pages : 667 pages
Book Rating : 4.54/5 ( download)

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Download or read book Recent Developments in Structural Engineering, Volume 1 written by Manmohan Dass Goel and published by Springer Nature. This book was released on with total page 667 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Author : B. H. V. Topping
Publisher : Hyperion Books
ISBN 13 :
Total Pages : 334 pages
Book Rating : 4.64/5 ( download)

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Download or read book Developments in Computational Engineering Mechanics written by B. H. V. Topping and published by Hyperion Books. This book was released on 1993 with total page 334 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 13 : 3642231756
Total Pages : 299 pages
Book Rating : 4.59/5 ( download)

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Download or read book Topological Methods in Data Analysis and Visualization II written by Ronald Peikert and published by Springer Science & Business Media. This book was released on 2012-01-10 with total page 299 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 : Tamal Krishna Dey
Publisher : Cambridge University Press
ISBN 13 : 1009103199
Total Pages : 456 pages
Book Rating : 4.90/5 ( download)

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Download or read book Computational Topology for Data Analysis written by Tamal Krishna Dey and published by Cambridge University Press. This book was released on 2022-03-10 with total page 456 pages. Available in PDF, EPUB and Kindle. Book excerpt: Topological data analysis (TDA) has emerged recently as a viable tool for analyzing complex data, and the area has grown substantially both in its methodologies and applicability. Providing a computational and algorithmic foundation for techniques in TDA, this comprehensive, self-contained text introduces students and researchers in mathematics and computer science to the current state of the field. The book features a description of mathematical objects and constructs behind recent advances, the algorithms involved, computational considerations, as well as examples of topological structures or ideas that can be used in applications. It provides a thorough treatment of persistent homology together with various extensions – like zigzag persistence and multiparameter persistence – and their applications to different types of data, like point clouds, triangulations, or graph data. Other important topics covered include discrete Morse theory, the Mapper structure, optimal generating cycles, as well as recent advances in embedding TDA within machine learning frameworks.

Author : B. H. V. Topping
Publisher :
ISBN 13 :
Total Pages : 516 pages
Book Rating : 4.60/5 ( download)

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Download or read book Civil and Structural Engineering Computing: 2001 written by B. H. V. Topping and published by . This book was released on 2001 with total page 516 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 13 : 9781402082054
Total Pages : 704 pages
Book Rating : 4.53/5 ( download)

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Download or read book International Tables for Crystallography, Volume B written by Uri Shmueli and published by Springer Science & Business Media. This book was released on 2008-08-27 with total page 704 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Author : Deane Montgomery
Publisher :
ISBN 13 :
Total Pages : 289 pages
Book Rating : 4.11/5 ( download)

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Download or read book Topological Transformation Groups written by Deane Montgomery and published by . This book was released on 1964 with total page 289 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Author : Leon Thurner
Publisher : kassel university press GmbH
ISBN 13 : 3737605386
Total Pages : 222 pages
Book Rating : 4.80/5 ( download)

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Download or read book Structural Optimizations in Strategic Medium Voltage Power System Planning written by Leon Thurner and published by kassel university press GmbH. This book was released on 2018-06-25 with total page 222 pages. Available in PDF, EPUB and Kindle. Book excerpt: This thesis introduces a comprehensive methodology for the automation of the strategic power system planning process in the medium voltage level. The methodology takes the predicted development of load and distributed generation as well as the age structure of the components into account. Target grid structures are computed with a heuristic search that considers constraints for the grid topology, power flow parameters in normal as well as contingency operation, fault currents and service reliability. The implementation is based on the newly presented open source power systems analysis tool pandapower, which allows grid modelling and analysis with a high degree of automation. The developed methodology is applied to three real case study grids from different power system operators. The structural optimization leads to a reduction of investment and operational costs within the planning horizon of up to 56% in the target grids compared to the present grid structures. The successful application of the developed method to a diverse set of case studies demonstrates its general applicability in realistic planning problems.