Non-linear dynamics of an elasto-plastic oscillator with kinematic and isotropic hardening

This contribution reports on a dynamic analysis of an elasto-plastic oscillator. Kinematic and isotropic hardening are considered. The equations of motion have five state variables associated with complementary conditions. System dynamics is treated by performing a split in phase space in two parts. This split is suggested by an analysis of the equations of motion near equilibrium points and permits conclusions about high dimensional dynamical system by analyzing subspaces with lower dimension. This physical consideration is in close agreement with the operator split technique used for the numerical solution. Some numerical results are shown for free and forced vibrations of the oscillator with kinematic, isotropic and kinematic/isotropic hardening. © 1997 Academic Press Limited.