In-plane Rotational Contact of Beams in 3D Space
2016 (English)Report (Refereed)
In this paper, we develop two alternative formulations for the in-plane rotational contact of beams with large deformations in 3D space. Such a formulation is useful for modeling bonded/welded connections between beams. The first formulation is derived by linearizing the variation of the strain energy and by assuming linear shape functions for the beam elements. This formulation can be used with both the Lagrange multiplier and the penalty stiffness method. The second formulation assumes that the contact normal is independent of the nodal displacements at each iteration, and is updated between iterations. This assumption yields simpler equations and requires no specific assumption regarding the shape functions for the underlying beam elements. However, it is limited to the penalty method. We demonstrate the performance of the presented formulations in solving problems using implicit time integration. We also present a case showing the implications of ignoring the in-plane rotational contact.
Place, publisher, year, edition, pages
2016. , 24 p.
TRITA-HFL. Report / Royal Institute of Technology, Solid Mechanics, ISSN 1654-1472 ; 590
Structures, Finite Element methods, Contact
Other Mechanical Engineering
Research subject Solid Mechanics
IdentifiersURN: urn:nbn:se:kth:diva-183979ISBN: 978-91-7595-905-4OAI: oai:DiVA.org:kth-183979DiVA: diva2:913350
QC 201603222016-03-212016-03-212016-04-19Bibliographically approved