A primer on the kinematics of discrete elastic rods / M. Khalid Jawed, Alyssa Novelia, Oliver M. O'Reilly.
2018
QA935
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Title
A primer on the kinematics of discrete elastic rods / M. Khalid Jawed, Alyssa Novelia, Oliver M. O'Reilly.
Author
ISBN
9783319769653 (electronic book)
3319769650 (electronic book)
9783319769646
3319769642
3319769650 (electronic book)
9783319769646
3319769642
Published
Cham, Switzerland : Springer, 2018.
Language
English
Description
1 online resource (xiii, 118 pages) : color illustrations.
Item Number
10.1007/978-3-319-76965-3 doi
Call Number
QA935
Dewey Decimal Classification
531/.382
Summary
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.
Bibliography, etc. Note
Includes bibliographical references and index.
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Access limited to authorized users.
Digital File Characteristics
text file PDF
Source of Description
Online resource; title from PDF title page (SpringerLink, viewed May 8, 2018).
Added Author
Series
SpringerBriefs in applied sciences and technology. Thermal engineering and applied science.
Available in Other Form
Print version: 9783319769646
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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.
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.