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Swift Analysis of Civil Engineering Structures Using Graph Theory Methods

  • Book
  • © 2020

Overview

Authors:
  1. Ali Kaveh

    1. School of Civil Engineering, Iran University of Science and Technology, Tehran, Iran

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  2. Hossein Rahami

    1. School of Engineering Science, College of Engineering, University of Tehran, Tehran, Iran

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    You can also search for this author in PubMed   Google Scholar

  3. Iman Shojaei

    1. Align Technology Inc., San Jose, USA

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    You can also search for this author in PubMed   Google Scholar

  • 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

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

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Table of contents (10 chapters)

  1. Front Matter

    Pages i-xi
    Download chapter PDF

  2. Definitions from Graph Theory and Graph Products

    • Ali Kaveh, Hossein Rahami, Iman Shojaei
    Pages 1-10

  3. Basic Concepts and Definitions of Symmetry and Regularity

    • Ali Kaveh, Hossein Rahami, Iman Shojaei
    Pages 11-41

  4. Static Analysis of Near-Regular Skeletal Structures: Additional Members

    • Ali Kaveh, Hossein Rahami, Iman Shojaei
    Pages 43-86

  5. Static Analysis of Near-Regular Skeletal Structures: Additional Nodes

    • Ali Kaveh, Hossein Rahami, Iman Shojaei
    Pages 87-122

  6. Static Analysis of Nearly Regular Continuous Domains

    • Ali Kaveh, Hossein Rahami, Iman Shojaei
    Pages 123-180

  7. Dynamic Analysis of Near-Regular Structures

    • Ali Kaveh, Hossein Rahami, Iman Shojaei
    Pages 181-200

  8. Swift Analysis of Linear and Non-linear Structures and Applications Using Reanalysis

    • Ali Kaveh, Hossein Rahami, Iman Shojaei
    Pages 201-245

  9. Global Near-Regular Mechanical Systems

    • Ali Kaveh, Hossein Rahami, Iman Shojaei
    Pages 247-263

  10. Mappings for Transformation of Near-Regular Domains to Regular Domains

    • Ali Kaveh, Hossein Rahami, Iman Shojaei
    Pages 265-286

  11. Numerical Solution for System of Linear Equations Using Tridiagonal Matrix

    • Ali Kaveh, Hossein Rahami, Iman Shojaei
    Pages 287-302
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Keywords

About this book

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.


Authors and Affiliations

  • School of Civil Engineering, Iran University of Science and Technology, Tehran, Iran

    Ali Kaveh

  • School of Engineering Science, College of Engineering, University of Tehran, Tehran, Iran

    Hossein Rahami

  • Align Technology Inc., San Jose, USA

    Iman Shojaei

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

  • DOI: https://doi.org/10.1007/978-3-030-45549-1

  • Publisher: Springer Cham

  • eBook Packages: Engineering, Engineering (R0)

  • Copyright Information: Springer Nature Switzerland AG 2020

  • Hardcover ISBN: 978-3-030-45548-4Published: 20 May 2020

  • Softcover ISBN: 978-3-030-45551-4Published: 20 May 2021

  • eBook ISBN: 978-3-030-45549-1Published: 19 May 2020

  • 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

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