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A Primer on the Kinematics of Discrete Elastic Rods [electronic resource] / by M. Khalid Jawed, Alyssa Novelia, Oliver M. O'Reilly.

By: Jawed, M. Khalid [author.].
Contributor(s): Novelia, Alyssa [author.] | O'Reilly, Oliver M [author.] | SpringerLink (Online service).
Material type: materialTypeLabelBookSeries: SpringerBriefs in Thermal Engineering and Applied Science: Publisher: Cham : Springer International Publishing : Imprint: Springer, 2018Edition: 1st ed. 2018.Description: XIII, 118 p. 44 illus. in color. online resource.Content type: text Media type: computer Carrier type: online resourceISBN: 9783319769653.Subject(s): Mechanics, Applied | Engineering mathematics | Mechanics | Engineering Mechanics | Engineering Mathematics | Classical MechanicsAdditional physical formats: Printed edition:: No title; Printed edition:: No titleDDC classification: 620.1 Online resources: Click here to access online
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.
In: Springer Nature eBookSummary: 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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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.

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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