000014335 001__ 14335
000014335 005__ 20161115100148.0
000014335 04107 $$aeng
000014335 046__ $$k2016-08-21
000014335 100__ $$aCottanceau, Emmanuel
000014335 24500 $$aA finite element/quaternion/asymptotic numerical method for the 3D simulation of flexible cables 24th International Congress of Theoretical and Applied Mechanics

000014335 24630 $$n24.$$p24th International Congress of Theoretical and Applied Mechanics - Book of Papers
000014335 260__ $$bInternational Union of Theoretical and Applied Mechanics, 2016
000014335 506__ $$arestricted
000014335 520__ $$2eng$$aA flexible cable is modeled by a geometrically exact beam model with 3D rotations described using quaternion parameters. The boundary value problem is then discretized by the finite element method. The use of an asymptotic numerical method to solve the problem, requiring quadratic equations, is well suited to the quaternion parametrization. This combination of methods leads to a fast, robust and accurate algorithm very well-adapted for the simulation of the assembly process of cables. This is proved by running many examples involving complicated solutions.

000014335 540__ $$aText je chráněný podle autorského zákona č. 121/2000 Sb.
000014335 653__ $$a

000014335 7112_ $$a24th International Congress of Theoretical and Applied Mechanics$$cMontreal (CA)$$d2016-08-21 / 2016-08-26$$gICTAM2016
000014335 720__ $$aCottanceau, Emmanuel
000014335 8560_ $$ffischerc@itam.cas.cz
000014335 8564_ $$s181346$$uhttps://invenio.itam.cas.cz/record/14335/files/PO.SM14-1.03.307.pdf$$yOriginal version of the author's contribution as presented on CD,  page 2815, code PO.SM14-1.03.307
.
000014335 962__ $$r13812
000014335 980__ $$aPAPER