BEGIN:VCALENDAR VERSION:2.0 PRODID:researchseminars.org CALSCALE:GREGORIAN X-WR-CALNAME:researchseminars.org BEGIN:VEVENT SUMMARY:Martin Horák (Faculty of Civil Engineering\, CTU\, ÚTIA AVČR) DTSTART:20221003T134000Z DTEND:20221003T151000Z DTSTAMP:20260405T174415Z UID:NSCM/76 DESCRIPTION:Title: Ef ficient formulation of a two-dimensional geometrically exact Bernoulli bea m\nby Martin Horák (Faculty of Civil Engineering\, CTU\, ÚTIA AVČR ) as part of Nečas Seminar on Continuum Mechanics\n\nLecture held in K3 K arlin\, Sokolovska 83\, Praha 8.\n\nAbstract\nIn this talk\, I will focus on a two-dimensional geometrically exact formulation of a Bernoulli beam.\ nThe formulation is based on the integrated form of equilibrium equations\ , which are combined with the\nkinematic equations and generalized materia l equations\, leading to a set of three first-order differential\nequation s. These equations are then discretized by finite differences and the boun dary value problem is\nconverted into an initial value problem using a tec hnique inspired by the shooting method. The accuracy of\nthe numerical app roximation is conveniently increased by refining the integration scheme on the element\nlevel while the number of global degrees of freedom is kept constant\, which leads to high computational\nefficiency. The element has been implemented into an open-source finite element code. I will show a\nf avorable comparison with standard beam elements formulated in the finite-s train framework and with\nanalytical solutions. Several extensions of the proposed approach\, including curved initial geometry\, follower pressure load\, and beam-to-beam contact will be also discussed. This is joint wor k with M. Jirásek and E. La Malfa Ribolla.\n\n\nREFERENCES\n\n\n[1] Jirá sek\, M.\,La Malfa Ribolla\, E.\, and Horák\, M. Efficient finite differe nce formulation of a ge-ometrically nonlinear beam element. International Journal for Numerical Methods in Engineering\,(2021) 122:7013–7053.\n\n\ n[2] Horák\, M.\, La Malfa Ribolla\, E.\, and Jirásek\, M. Efficient for mulation of a two-noded geometrically exact curved beam element. Internati onal Journal for Numerical Methods in Engineering\, (2022)\, accepted for publication.\n LOCATION:https://researchseminars.org/talk/NSCM/76/ END:VEVENT END:VCALENDAR