A Primer on the Kinematics of Discrete Elastic Rods

Nonfiction, Science & Nature, Technology, Engineering, Mechanical
Cover of the book A Primer on the Kinematics of Discrete Elastic Rods by M. Khalid Jawed, Alyssa Novelia, Oliver M. O'Reilly, Springer International Publishing
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Author: M. Khalid Jawed, Alyssa Novelia, Oliver M. O'Reilly ISBN: 9783319769653
Publisher: Springer International Publishing Publication: May 4, 2018
Imprint: Springer Language: English
Author: M. Khalid Jawed, Alyssa Novelia, Oliver M. O'Reilly
ISBN: 9783319769653
Publisher: Springer International Publishing
Publication: May 4, 2018
Imprint: Springer
Language: English

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.

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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.

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