Overview
- Adopts a comprehensive, yet short, introduction to a new and promising numerical formulation
- Reinforces concepts with worked examples expressed in a consistent notation
- Presented in sufficient detail for the reader versed in mechanics to start using discrete elastic rod formulation in problems
- Features an introduction to widely cited works published in the past decade
Part of the book series: SpringerBriefs in Applied Sciences and Technology (BRIEFSAPPLSCIENCES)
Part of the book sub series: SpringerBriefs in Thermal Engineering and Applied Science (BRIEFSTHERMAL)
Access this book
Tax calculation will be finalised at checkout
Other ways to access
Table of contents (8 chapters)
Keywords
About this book
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.
Authors and Affiliations
About the authors
Dr. M. Khalid Jawed is an Assistant Professor in the Department of Mechanical and Aerospace Engineering at the University of California, Los Angeles.
Alyssa Novelia is a graduate student in the Department of Mechanical Engineering at the University of California, Berkeley.
Dr. Oliver M. O’Reilly is a Professor in the Department of Mechanical Engineering at the University of California, Berkeley.
Bibliographic Information
Book Title: A Primer on the Kinematics of Discrete Elastic Rods
Authors: M. Khalid Jawed, Alyssa Novelia, Oliver M. O'Reilly
Series Title: SpringerBriefs in Applied Sciences and Technology
DOI: https://doi.org/10.1007/978-3-319-76965-3
Publisher: Springer Cham
eBook Packages: Engineering, Engineering (R0)
Copyright Information: The Author(s), under exclusive licence to Springer International Publishing AG, part of Springer Nature 2018
Softcover ISBN: 978-3-319-76964-6Published: 14 May 2018
eBook ISBN: 978-3-319-76965-3Published: 04 May 2018
Series ISSN: 2191-530X
Series E-ISSN: 2191-5318
Edition Number: 1
Number of Pages: XIII, 118
Number of Illustrations: 44 illustrations in colour
Topics: Theoretical and Applied Mechanics, Engineering Mathematics, Classical Mechanics