A Primer on the Kinematics of Discrete Elastic Rods [electronic resource] / by M. Khalid Jawed, Alyssa Novelia, Oliver M. O'Reilly.
Tipo de material: TextoSeries SpringerBriefs in Thermal Engineering and Applied ScienceEditor: Cham : Springer International Publishing : Imprint: Springer, 2018Edición: 1st ed. 2018Descripción: XIII, 118 p. 44 illus. in color. online resourceTipo de contenido: text Tipo de medio: computer Tipo de portador: online resourceISBN: 9783319769653Tema(s): Mechanics | Mechanics, Applied | Engineering mathematics | Theoretical and Applied Mechanics | Engineering Mathematics | Classical MechanicsFormatos físicos adicionales: Printed edition:: Sin título; Printed edition:: Sin títuloClasificación CDD: 620.1 Clasificación LoC:TA349-359Recursos en línea: Libro electrónicoTipo de ítem | Biblioteca actual | Colección | Signatura | Copia número | Estado | Fecha de vencimiento | Código de barras |
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Libro Electrónico | Biblioteca Electrónica | Colección de Libros Electrónicos | 1 | No para préstamo |
Acceso multiusuario
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.
UABC ; Temporal ; 01/01/2021-12/31/2023.