A Primer on the Kinematics of Discrete Elastic Rods

Author:   M. Khalid Jawed ,  Alyssa Novelia ,  Oliver M. O'Reilly
Publisher:   Springer International Publishing AG
Edition:   1st ed. 2018
ISBN:  

9783319769646


Pages:   118
Publication Date:   14 May 2018
Format:   Paperback
Availability:   Manufactured on demand   Availability explained
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A Primer on the Kinematics of Discrete Elastic Rods


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Overview

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.

Full Product Details

Author:   M. Khalid Jawed ,  Alyssa Novelia ,  Oliver M. O'Reilly
Publisher:   Springer International Publishing AG
Imprint:   Springer International Publishing AG
Edition:   1st ed. 2018
Weight:   0.454kg
ISBN:  

9783319769646


ISBN 10:   3319769642
Pages:   118
Publication Date:   14 May 2018
Audience:   Professional and scholarly ,  Professional & Vocational
Format:   Paperback
Publisher's Status:   Active
Availability:   Manufactured on demand   Availability explained
We will order this item for you from a manufactured on demand supplier.

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.

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Author Information

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.

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