Periodic solutions in problems of excitation of mechanical oscillations

Abstract

To begin with, the systems under consideration are naturally split into two subsystems: a mechanical oscillating system and a vibration exciter (or exciters). These subsystems are prescribed to some extent arbitrarily, in particular, the same exciter can be related to several oscillatory systems. However, in each particular case the processes in the exciter and the motion of the oscillatory system influence each other. The forces created by the exciter affect the oscillatory system and there always exist some elements of the system on which these forces act directly. Alternatively, the reaction forces of the element comprise a part of the exciter and their motion affects the processes in the exciter. If the motion of the mentioned elements is known then the processes in the exciter are prescribed and the motion of the remaining elements of the oscillatory system is no longer needed.