A Primer on the Kinematics of Discrete Elastic Rods 1st ed.

Author

• Jawed, M. Khalid

Additional Author(s)

• Novelia, Alyssa
• O'Reilly, Oliver M.

Publisher

Cham, Switzerland : Springer International Publishing, 2018

Language

English

ISBN

9783319769653

Series

SpringerBriefs in Thermal Engineering and Applied Science

Subject(s)

• ENGINEERING MATHEMATICS
• MECHANICS

Notes

. .

Abstract

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.

Physical Dimension

Number of Page(s)

1 online resource (xiii, 118 p.)

Dimension

-

Other Desc.

ill. (in col.)

Summary / Review / Table of Content

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.

Exemplar(s)

#	Accession No.	Call Number	Location	Status
1.	00520/20	620.1 Jaw P	Online !	Available