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A primer on the kinematics of discre...

Jawed, M. Khalid.

A primer on the kinematics of discrete elastic rods

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
正題名/作者:	A primer on the kinematics of discrete elastic rods/ by M. Khalid Jawed, Alyssa Novelia, Oliver M. O'Reilly.
作者:	Jawed, M. Khalid.
other author:	Novelia, Alyssa.
Published:	Cham :Springer International Publishing : : 2018.,
Description:	xiii, 118 p. :ill., digital ; : 24 cm.;
Contained By:	Springer eBooks
Subject:	Elastic rods and wires - Mathematics. -
Online resource:	http://dx.doi.org/10.1007/978-3-319-76965-3
ISBN:	9783319769653

A primer on the kinematics of discrete elastic rods
Jawed, M. Khalid.

A primer on the kinematics of discrete elastic rods[electronic resource] /by M. Khalid Jawed, Alyssa Novelia, Oliver M. O'Reilly. - Cham :Springer International Publishing :2018. - xiii, 118 p. :ill., digital ;24 cm. - SpringerBriefs in applied sciences and technology,2191-530X. - SpringerBriefs in applied sciences and technology..

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 Miklos 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.

ISBN: 9783319769653

Standard No.: 10.1007/978-3-319-76965-3doiSubjects--Topical Terms:

1204822
Elastic rods and wires
--Mathematics.

LC Class. No.: QA935 / .J394 2018

Dewey Class. No.: 531.382

A primer on the kinematics of discrete elastic rods
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245 1 2 $a A primer on the kinematics of discrete elastic rods $h [electronic resource] / $c by M. Khalid Jawed, Alyssa Novelia, Oliver M. O'Reilly.
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505 0 $a 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.
520 $a 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 Miklos 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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