A Primer on the Kinematics of Discrete Elastic Rods
Jawed, M. Khalid
A Primer on the Kinematics of Discrete Elastic Rods by M. Khalid Jawed, Alyssa Novelia, Oliver M. O'Reilly - 1 recurso en línea (XIII, 118 páginas) 44 ilustraciones a color - SpringerBriefs in Thermal Engineering and Applied Science 2193-2530 Engineering (Springer-11647) .
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.
9783319769653
10.1007/978-3-319-76965-3 doi
Mecánica aplicada
Ingeniería--Modelos matemáticos
TA350 / 2018 EB
A Primer on the Kinematics of Discrete Elastic Rods by M. Khalid Jawed, Alyssa Novelia, Oliver M. O'Reilly - 1 recurso en línea (XIII, 118 páginas) 44 ilustraciones a color - SpringerBriefs in Thermal Engineering and Applied Science 2193-2530 Engineering (Springer-11647) .
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.
9783319769653
10.1007/978-3-319-76965-3 doi
Mecánica aplicada
Ingeniería--Modelos matemáticos
TA350 / 2018 EB