Stochastic response of large FEM models with hysteretic behaviour in beam elements Original Research Article

An investigation of the hysteretic response of 3D frames in FE-systems with a high number of DOF under random dynamic load is presented. In stochastic analysis it is of high priority to provide a system of equations with a small number of unknowns. Working in a reduced modal base the contribution of the neglected higher modes is replaced by plastic shape functions. These shape functions are generated by a mechanical consideration of the local plastification effects. The application of the different solution techniques on two large frame structures is discussed in the context of hysteretic moment–curvature relations of 2D and 3D flexible beams. The results are commented reflecting the accuracy and performance of the methods.