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© 2020

Swift Analysis of Civil Engineering Structures Using Graph Theory Methods

Benefits

  • Introduces readers to circulant and regular structures together with definitions from graph products

  • Provides valuable insights into the analysis of large-scale space structures, like domes, grids, and barrel vaults

  • Presents instructive examples, ranging from simple to complex, of circulant and regular space structures and finite element models for the analytical methods as well as near circulant and near regular structures for the mixed methods

Book

Part of the Studies in Systems, Decision and Control book series (SSDC, volume 290)

Table of contents

  1. Front Matter
    Pages i-xi
  2. Ali Kaveh, Hossein Rahami, Iman Shojaei
    Pages 1-10
  3. Ali Kaveh, Hossein Rahami, Iman Shojaei
    Pages 11-41
  4. Ali Kaveh, Hossein Rahami, Iman Shojaei
    Pages 43-86
  5. Ali Kaveh, Hossein Rahami, Iman Shojaei
    Pages 87-122
  6. Ali Kaveh, Hossein Rahami, Iman Shojaei
    Pages 123-180
  7. Ali Kaveh, Hossein Rahami, Iman Shojaei
    Pages 181-200
  8. Ali Kaveh, Hossein Rahami, Iman Shojaei
    Pages 201-245
  9. Ali Kaveh, Hossein Rahami, Iman Shojaei
    Pages 247-263
  10. Ali Kaveh, Hossein Rahami, Iman Shojaei
    Pages 265-286
  11. Ali Kaveh, Hossein Rahami, Iman Shojaei
    Pages 287-302

About this book

Introduction

This book proposes and validates a number of methods and shortcuts for frugal engineers, which will allow them to significantly reduce the computational costs for analysis and reanalysis and, as a result, for structural design processes. The need for accuracy and speed in analyzing structural systems with ever-tighter design tolerances and larger numbers of elements has been relentlessly driving forward research into methods that are capable of analyzing structures at a reasonable computational cost. 
  
The methods presented are of particular value in situations where the analysis needs to be repeated hundreds or even thousands of times, as is the case with the optimal design of structures using different metaheuristic algorithms. 
  
Featuring methods that are not only applicable to skeletal structures, but by extension also to continuum models, this book will appeal to researchers and engineers involved in the computer-aided analysis and design of structures, and to software developers in this field. It also serves as a complement to previous books on the optimal analysis of large-scale structures utilizing concepts of symmetry and regularity. Further, its novel application of graph-theoretical methods is of interest to mathematicians.

Keywords

Swift Analysis of Structures Graph Theory Stiffness Method Finite Element Analysis Graph Products Block Matrices Circulant Structures Regular Structures Eigenvalues and Eigenvectors Near Circulant Near Regular

Authors and affiliations

  1. 1.School of Civil EngineeringIran University of Science and TechnologyTehranIran
  2. 2.School of Engineering Science, College of EngineeringUniversity of TehranTehranIran
  3. 3.Align Technology Inc.San JoseUSA

Bibliographic information

  • Book Title Swift Analysis of Civil Engineering Structures Using Graph Theory Methods
  • Authors Ali Kaveh
    Hossein Rahami
    Iman Shojaei
  • Series Title Studies in Systems, Decision and Control
  • Series Abbreviated Title Studies in Systems, Decision and Control
  • DOI https://doi.org/10.1007/978-3-030-45549-1
  • Copyright Information Springer Nature Switzerland AG 2020
  • Publisher Name Springer, Cham
  • eBook Packages Engineering Engineering (R0)
  • Hardcover ISBN 978-3-030-45548-4
  • Softcover ISBN 978-3-030-45551-4
  • eBook ISBN 978-3-030-45549-1
  • Series ISSN 2198-4182
  • Series E-ISSN 2198-4190
  • Edition Number 1
  • Number of Pages XI, 302
  • Number of Illustrations 101 b/w illustrations, 103 illustrations in colour
  • Topics Engineering Mathematics
    Civil Engineering
  • Buy this book on publisher's site
Industry Sectors
Engineering