Abstract
Cyclic repeatability is an important determinant of the reliability of a system that works by reciprocating motion. In this paper, we studied the influence of the time constant on the cyclic repeatability. First, we defined the cyclic repeatability by the variance of ensembles. Second, we showed the variance of ensembles increases with decreasing the time constant using a first-order lag system. Third, we developed a prototyped system that generates an impact sound of solenoid driven by a repeated DC voltage to verify our conclusion. We confirmed that the variance of solenoid current, armature velocity and impact force relate with the time constant or rise time of the system derived from a functional model.
