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A Primer on the Kinematics of Discrete Elastic Rods (2018)

A Primer on the Kinematics of Discrete Elastic Rods

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"A Primer on the Kinematics of Discrete Elastic Rods" by M. Khalid Jawed, Alyssa Novelia, Oliver M. O'Reilly is a mathematics book and learning resource focused on Dynamics. Best for teachers, students, and readers looking for stronger mathematical understanding.

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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Best For: Students and professionals in mechanical engineering and applied mathematics focusing on slender body mechanics.
Focus: Numerical formulation and simulation of elastic rods using the discrete elastic rod theory.
Covers: Theory and computational methods for modeling elastic rods, including applications in computer graphics.
Why It Matters: Provides a foundational understanding of a recent and widely used numerical approach to simulate slender elastic bodies, facilitating analysis and design in engineering and graphics.

"A Primer on the Kinematics of Discrete Elastic Rods" by M. Khalid Jawed, Alyssa Novelia, Oliver M. O'Reilly is a mathematics book and learning resource focused on Dynamics. Best for teachers, students, and readers looking for stronger mathematical understanding.

Topic: Dynamics

Author: M. Khalid Jawed, Alyssa Novelia, Oliver M. O'Reilly

Who this is for:

  • Teachers and classroom instructors
  • Students building subject mastery
  • Readers looking for practical learning support

Why this book matters: It stands out as a practical math resource that helps explain concepts, strengthen problem-solving, and support classroom or independent learning.

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.

AuthorM. Khalid Jawed, Alyssa Novelia, Oliver M. O'Reilly
PublisherSpringer
Published2018-05-14
ISBN-139783319769646
BindingPaperback
Pages118
LanguageEnglish
SubjectsTechnology & Engineering
TopicDynamics
SeriesSpringerbriefs in Thermal Engineering and Applied Science

Format: Paperback

Length: 118 pages

Language: English

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