Multiformity of periodic-impact motions of a harmonically forced soft-impacting system and experimental verification based on an electronic circuit

In this paper, we consider a two-degree-of-freedom harmonically forced soft-impacting system. Basic types, characteristics and multiformity of periodic-impact motions of the system are achieved through multi-parameter simulation analyses which provide the partition of the parameter space into qualitatively different regions. The influence of the clearance, constraint stiffness, external force and forcing frequency on dynamics of the system is investigated in definite parameter spaces. The results show that the quantity of impact motions with the forcing period fully depends on the value of the constraint stiffness and such period-one multi-impact motions predominantly occur in low frequency and small clearance domain. The experiment is conducted on an electronic circuit designed according to the dynamical model of the harmonically forced system with a clearance. The outputs of the designed circuit are well consistent with the numerical results of the harmonically forced soft-impacting system, which validates the experimental approach.