Dynamics of shells over background meshes

Preliminary result from the work of Susanne Claus and Pierre Kerfriden.

The shell intersects a regular background mesh in an arbitrary manner, thereby avoiding the need for complex meshing operations. To alleviate the well-known problem of instability due to the existence of "bad cuts", we make use of a regularised penalty approach. The implementation is performed within the FEniCS CutFEM library developed by Dr Claus together with André Massing and Erik Burman.

Harmonic Dirichlet boundary conditions

Free vibration modes