A process of using finite
element analysis for determining the behaviour of a
system, submitted to predetermined load and displacement boundary conditions with a degree of freedom relative to a local coordinate
system released at one node of the
system. For a geometrically non-linear solution scheme, a plurality of incremental steps are carried, for which computing for a finite element of the system a displacement vector at the nodes of the finite element is performed by minimizing the energy of the system. For a geometrically linear solution scheme, a single solving step is carried, for which similar steps of computing for a finite element and timely minimizing of the system's energy are performed. The step of minimizing is carried out, for a node having a released degree of freedom, in a local
frame of reference, and the released degree of freedom at the node is expressed along one axis of such frame. Such
hybrid reference frames allow expressing and taking into account in the global formulation the constraints of the non-released degrees of freedoms in a simple manner, without having to factorise constraints.