A Primer on the Kinematics of Discrete Elastic Rods

• Main Authors: Jawed, M. Khalid (Author, http://id.loc.gov/vocabulary/relators/aut), Novelia, Alyssa (http://id.loc.gov/vocabulary/relators/aut), O'Reilly, Oliver M. (http://id.loc.gov/vocabulary/relators/aut)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Cham : Springer International Publishing : Imprint: Springer, 2018.
• Edition: 1st ed. 2018.
• Series: SpringerBriefs in Thermal Engineering and Applied Science,
• Subjects: Mechanics.; Mechanics, Applied.; Engineering mathematics.; Theoretical and Applied Mechanics.; Engineering Mathematics.; Classical Mechanics.

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 b...

Table of Contents:

• Discrete Elastic Rods
• Kirchhoff's Theory of an Elastic Rod
• Variations, Gradients, and Hessians
• Rotation of the Cross Section of the Rod, Spherical Excess, and Holonomy
• Kinetic Energy, Potential Energy, and Internal Forces.