A Primer on the Kinematics of Discrete Elastic Rods

  • M. Khalid Jawed
  • Alyssa Novelia
  • Oliver M. O'Reilly

Part of the SpringerBriefs in Applied Sciences and Technology book series (BRIEFSAPPLSCIENCES)

Also part of the SpringerBriefs in Thermal Engineering and Applied Science book sub series (BRIEFSTHERMAL)

Table of contents

  1. Front Matter
    Pages i-xiii
  2. M. Khalid Jawed, Alyssa Novelia, Oliver M. O’Reilly
    Pages 1-9
  3. M. Khalid Jawed, Alyssa Novelia, Oliver M. O’Reilly
    Pages 11-23
  4. M. Khalid Jawed, Alyssa Novelia, Oliver M. O’Reilly
    Pages 25-32
  5. M. Khalid Jawed, Alyssa Novelia, Oliver M. O’Reilly
    Pages 33-46
  6. M. Khalid Jawed, Alyssa Novelia, Oliver M. O’Reilly
    Pages 47-57
  7. M. Khalid Jawed, Alyssa Novelia, Oliver M. O’Reilly
    Pages 59-73
  8. M. Khalid Jawed, Alyssa Novelia, Oliver M. O’Reilly
    Pages 75-92
  9. M. Khalid Jawed, Alyssa Novelia, Oliver M. O’Reilly
    Pages 93-112
  10. Back Matter
    Pages 113-118

About this book

Introduction

This primer discusses a numerical formulation of the theory of an elastic rod, known as a discrete elastic rod, that was recently developed in a series of papers by Miklós Bergou, et al. Their novel formulation of discrete elastic rods represents an exciting new method to simulate and analyze the behavior of slender bodies that can be modeled using an elastic rod. The formulation has been extensively employed in computer graphics and is highly cited. In the primer, we provide relevant background from both discrete and classical differential geometry so a reader familiar with classic rod theories can appreciate, comprehend, and use Bergou, et al.’s computational efficient formulation of a nonlinear rod theory. The level of coverage is suitable for graduate students in mechanics and engineering sciences.

Keywords

Rod theory Miklós Bergou numerical methods discrete elastic rods mechanics of rods

Authors and affiliations

  • M. Khalid Jawed
    • 1
  • Alyssa Novelia
    • 2
  • Oliver M. O'Reilly
    • 3
  1. 1.Department of Mechanical and Aerospace EngineeringUniversity of California, Los AngelesLos AngelesUSA
  2. 2.Department of Mechanical EngineeringUniversity of California, BerkeleyBerkeleyUSA
  3. 3.Department of Mechanical EngineeringUniversity of California, BerkeleyBerkeleyUSA

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-319-76965-3
  • Copyright Information The Author(s), under exclusive licence to Springer International Publishing AG, part of Springer Nature 2018
  • Publisher Name Springer, Cham
  • eBook Packages Engineering
  • Print ISBN 978-3-319-76964-6
  • Online ISBN 978-3-319-76965-3
  • Series Print ISSN 2191-530X
  • Series Online ISSN 2191-5318
  • About this book