Dynamic responses of the impact drive mechanism modeled by the distributed parameter system

[[abstract]]The piezoelectric actuator has been used for precision positioning from micro-meter down to nano-meter scale. In this paper, the impact drive mechanism (IDM) is designed to achieve a high accuracy and ability in precision positioning motion, where the frictional force is described by the Leuven model combined with the Bounc–Wen model of the hysteresis. The frictional model allows accurate dynamic modeling both in the sliding and the presliding regimes without using switching functions. The governing equations with the hysteresis effects of the distributed parameter system are formulated to obtain the dynamic responses. By using the finite element formulation, numerical solutions due to effects of the piezoelectric element (PE) are provided to compare between the distributed and lumped parameter systems of the IDM. It is shown that the neglect in the mass of the PE will cause the precision errors in the scale of tens nano-meters