A reduced model for conical contact dedicated to flexible multi-body dynamics
Résumé
An efficient time integration scheme for flexible multi-body dynamics with frictional impacts dedicated to finite element simulations is presented.
Considering bulky compact components the linear theory of elastodynamics may be applied and two separate explicit Newmark integration schemes coupled only by non-linear forces are used for elastic vibration and rigid body dynamics respectively.
After a brief study focused on conservation properties, a dedicated rigid-body integration scheme is selected.
To avoid contact detection and classical mesh to mesh computation a parameteric study based on static computations is performed to express the reaction forces as analytical functions of few positional arguments.
The penalty method is applied and combined with the Coulomb law to modelize impacts between the two colliding bodies.
The results are then illustrated on a use case with configuration dependent contact geometry. Finally the global model aims at interpreting experiments on such configurations.