Abstract
AbstractThis paper describes the quasi-static formulation of frictionless line contact between flexible beams by employing the mortar finite element approach. Contact constraints are enforced in a weak sense along the contact region using Lagrange multipliers. A simple projection appropriate for thin beams with circular cross-sections is proposed for the computation of contact regions. It is combined with the geometrically exact beam formalism on the Lie group $SE(3)$
S
E
(
3
)
. Interestingly, this framework leads to a constraint gradient and a tangent stiffness invariant under rigid body transformations. The formulation is tested in some numerical examples.
Funder
Fraunhofer Institute for Industrial Mathematics (ITWM)
Publisher
Springer Science and Business Media LLC
Subject
Control and Optimization,Computer Science Applications,Mechanical Engineering,Aerospace Engineering,Modeling and Simulation
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