A Primer on the Kinematics of Discrete Elastic RodsIntroduction
A Primer on the Kinematics of Discrete Elastic Rods: Introduction
Jawed, M. Khalid; Novelia, Alyssa; O’Reilly, Oliver M.
2018-05-05 00:00:00
[In this introductory chapter, the scope of this graduate-level book is discussed and some relevant background is presented. To help introduce the reader to the discrete elastic rod formulation, two classic problems from the literature are discussed: a cantilevered beam hanging under its own weight and the bending of a rod by terminal moments. The classic solution to these problems, which employ rod theories by Euler and Kirchhoff, are compared to their solution from a recently developed formulation where a rod is modeled as a set of interconnected discrete segments. This novel formulation uses notions from the nascent field of discrete differential geometry and the resulting numerical formulation is remarkably efficient.]
http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.pnghttp://www.deepdyve.com/lp/springer-journals/a-primer-on-the-kinematics-of-discrete-elastic-rods-introduction-zglhklKnz0
A Primer on the Kinematics of Discrete Elastic RodsIntroduction
[In this introductory chapter, the scope of this graduate-level book is discussed and some relevant background is presented. To help introduce the reader to the discrete elastic rod formulation, two classic problems from the literature are discussed: a cantilevered beam hanging under its own weight and the bending of a rod by terminal moments. The classic solution to these problems, which employ rod theories by Euler and Kirchhoff, are compared to their solution from a recently developed formulation where a rod is modeled as a set of interconnected discrete segments. This novel formulation uses notions from the nascent field of discrete differential geometry and the resulting numerical formulation is remarkably efficient.]
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