On the derivatives of curvature of framed space curve and their time-updating scheme

DOI10.1016/J.AML.2019.07.020zbMath1426.53006arXiv1907.11271OpenAlexW2964561378WikidataQ107631701 ScholiaQ107631701MaRDI QIDQ2275251

Mayank Chadha, Michael D. Todd

Publication date: 2 October 2019

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1907.11271

zbMATH Keywords

curvaturecurvature derivativescurvature updating algorithmmaterial framerotation Lie group

Mathematics Subject Classification ID

Surfaces in Euclidean and related spaces (53A05) Computer-aided design (modeling of curves and surfaces) (65D17)

Cites Work

• Exact theory of stress and strain in rods and shells
• A finite strain beam formulation. The three-dimensional dynamic problem. I
• The Hamiltonian structure of nonlinear elasticity: The material and convective representations of solids, rods, and plates
• Finite-element formulation of geometrically exact three-dimensional beam theories based on interpolation of strain measures.
• Nonlinear Mechanics of Thin-Walled Structures
• There is More than One Way to Frame a Curve

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