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An Isogeometric Approach to Beam Structures

Bridging the Classical to Modern Technique

Authors:

  • Adopts a progressive and rigorous presentation of topics to facilitate use by students and professionals

  • Presents a new reduction method in which the beam element can be treated as a conventional beam element with only two nodes at both ends

  • Allows computation of the exact solutions of beam theories based on a newly introduced condensation method, not approximation theory

  • Features relevant Matlab codes

  • Includes supplementary material: sn.pub/extras

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Table of contents (9 chapters)

  1. Front Matter

    Pages i-xiv
  2. Representation of Curves on a Plane

    • Buntara S. Gan
    Pages 1-45
  3. Numerical Integration

    • Buntara S. Gan
    Pages 47-59
  4. Finite Element Formulation of Beam Elements

    • Buntara S. Gan
    Pages 61-126
  5. Isogeometric Approach to Beam Element

    • Buntara S. Gan
    Pages 127-156
  6. Condensation Method

    • Buntara S. Gan
    Pages 157-173
  7. Straight Beam Element Examples

    • Buntara S. Gan
    Pages 175-191
  8. Circular Curved Beam Element Examples

    • Buntara S. Gan
    Pages 193-203
  9. General Curved Beam Element Examples

    • Buntara S. Gan
    Pages 205-216
  10. Free Curved Beam Element Examples

    • Buntara S. Gan
    Pages 217-224
  11. Back Matter

    Pages 225-233

About this book

This book proposes a novel, original condensation method to beam formulation based on the isogeometric approach to reducing the degrees of freedom to conventional two-node beam elements. In this volume, the author defines the Buntara Condensation Formulation: a unique formulation in condensing the dynamic equilibrium equation for beam structures, suitable for reducing the number of unlimited dynamic equations necessary to yield a classic two-node beam element. Professor Buntara’s method overcomes the problem of the isogeometric approach where the number of degrees of freedom is increased along with the complexity of the geometrical beam element and facilitates implementation of the codes into the existing beam structures programs, and CAD geometrical data into the conventional FE beam element codes. The book proposes a new reduction method where the beam element can be treated as under the conventional beam element theory that has only two nodes at both ends.

Authors and Affiliations

  • College of Engineering, Department of Architecture, Nihon University, Koriyama, Japan

    Buntara S. Gan

About the author

Professor Buntara S. Gan is Professor in the Department of Architecture, College of Engineering, Nihon University, Japan.

Bibliographic Information

  • Book Title: An Isogeometric Approach to Beam Structures

  • Book Subtitle: Bridging the Classical to Modern Technique

  • Authors: Buntara S. Gan

  • DOI: https://doi.org/10.1007/978-3-319-56493-7

  • Publisher: Springer Cham

  • eBook Packages: Engineering, Engineering (R0)

  • Copyright Information: Springer International Publishing AG 2018

  • Hardcover ISBN: 978-3-319-56492-0Published: 14 June 2017

  • Softcover ISBN: 978-3-319-85926-2Published: 02 August 2018

  • eBook ISBN: 978-3-319-56493-7Published: 01 June 2017

  • Edition Number: 1

  • Number of Pages: XIV, 233

  • Number of Illustrations: 21 b/w illustrations, 44 illustrations in colour

  • Topics: Theoretical and Applied Mechanics, Mathematical and Computational Engineering, Structural Materials, Civil Engineering

Buy it now

Buying options

eBook USD 119.00
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 159.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book USD 159.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access