Efficient analysis of large-scale structural problems with geometrical non-linearity

The paper presents an efficient methodology for the analysis of large-scale structural problems with geometrical non-linearity. A finite element based tool is developed, taking advantage of the analytical formulation of the stiffness matrix of a beam element, which is explicitly separated in linear and non-linear terms. The methodology proposes the substitution of the typical Newton-type non-linear analysis procedure, by a series of incremental linear analyses and a set of ‘fictitious’ forces, replacing the non-linear effect. The proposed technique is demonstrated in several structural problems that exhibit geometrical non-linear behaviour, with satisfactory results. The method’s advantages on the analysis of large-scale non-linear problems are discussed, as well as the limitations and the further development that is required.

► Large-scale non-linear structural problems efficient analysis methodology. ► Based on Finite Element Method. ► Alternative to the typical Newton-type nonlinear analysis procedure. ► Demonstrated in characteristic structures with non-linear behaviour. ► Great reduction in the required computational effort.