Get 20M+ Full-Text Papers For Less Than $1.50/day. Start a 14-Day Trial for You or Your Team.

Learn More →

A Primer on the Kinematics of Discrete Elastic RodsIntroduction

A Primer on the Kinematics of Discrete Elastic Rods: Introduction [In this introductory chapter, the scope of this graduate-level book is discussed and some relevant background is presented. To help introduce the reader to the discrete elastic rod formulation, two classic problems from the literature are discussed: a cantilevered beam hanging under its own weight and the bending of a rod by terminal moments. The classic solution to these problems, which employ rod theories by Euler and Kirchhoff, are compared to their solution from a recently developed formulation where a rod is modeled as a set of interconnected discrete segments. This novel formulation uses notions from the nascent field of discrete differential geometry and the resulting numerical formulation is remarkably efficient.] http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png

Loading next page...
 
/lp/springer-journals/a-primer-on-the-kinematics-of-discrete-elastic-rods-introduction-zglhklKnz0

References (0)

References for this paper are not available at this time. We will be adding them shortly, thank you for your patience.

Publisher
Springer International Publishing
Copyright
© The Author(s), under exclusive licence to Springer International Publishing AG, part of Springer Nature 2018
ISBN
978-3-319-76964-6
Pages
1 –9
DOI
10.1007/978-3-319-76965-3_1
Publisher site
See Chapter on Publisher Site

Abstract

[In this introductory chapter, the scope of this graduate-level book is discussed and some relevant background is presented. To help introduce the reader to the discrete elastic rod formulation, two classic problems from the literature are discussed: a cantilevered beam hanging under its own weight and the bending of a rod by terminal moments. The classic solution to these problems, which employ rod theories by Euler and Kirchhoff, are compared to their solution from a recently developed formulation where a rod is modeled as a set of interconnected discrete segments. This novel formulation uses notions from the nascent field of discrete differential geometry and the resulting numerical formulation is remarkably efficient.]

Published: May 5, 2018

There are no references for this article.