Topological transformations for efficient structural analysis / Ali Kaveh.
2022
TA646
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Details
Title
Topological transformations for efficient structural analysis / Ali Kaveh.
ISBN
9783031123009 (electronic bk.)
303112300X (electronic bk.)
3031122992
9783031122996
303112300X (electronic bk.)
3031122992
9783031122996
Published
Cham : Springer, [2022]
Copyright
©2022
Language
English
Description
1 online resource (xii, 190 pages) : illustrations (some color)
Item Number
10.1007/978-3-031-12300-9 doi
Call Number
TA646
Dewey Decimal Classification
624.170285
Summary
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.
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Includes bibliographical references.
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Description based on print version record.
Available in Other Form
TOPOLOGICAL TRANSFORMATIONS FOR EFFICIENT STRUCTURAL ANALYSIS.
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Table of Contents
The Main Objective of the Present Book
Introduction to Graph Theory and Algebraic Graph Theory
Embedding Graphs on Lower Dimensional Spaces
Embedding Graphs on Higher Dimensional Spaces
Embedding Graphs on spaces of Identical Dimensions
Structural Configuration Generation
Symmetry Using Linear Algebra and Graph Theory
Complementary Space of Graphs
Miscellaneous Applications Graph Problems Using Meta-heuristic Algorithms.
Introduction to Graph Theory and Algebraic Graph Theory
Embedding Graphs on Lower Dimensional Spaces
Embedding Graphs on Higher Dimensional Spaces
Embedding Graphs on spaces of Identical Dimensions
Structural Configuration Generation
Symmetry Using Linear Algebra and Graph Theory
Complementary Space of Graphs
Miscellaneous Applications Graph Problems Using Meta-heuristic Algorithms.