<p>The analysis of accidents of power and energy plants (PP and EP) from the point of view of the concept of self-liquidation of the system (technical, biological, economic, etc.) as such is performed. Accidents with serious consequences up to catastrophic destruction are considered. The self-liquidation of a mechanical (oscillating) system is based on the asynchronous running-in by the rotor of the stator (bearings, housing) in the process of oscillations with hitting. Triggers of the run-in process are defined and a certain continuum of the asynchronous run-in development process is considered. On the basis of the analysis of accidents the modelling of the running-in process with revealing of a new class of forces (contact interaction forces), contributing to the self-excited rotor oscillations is carried out. The level of contact interaction forces is orders of magnitude higher than other excitation forces in the rotor-stator system (in bearings, in the flowing part). In the process of running-in the rotor-stator system itself (at the expense of rotor rotation energy) increases the angular speed of precession bringing it to the nearest resonance of the rotor-support system with additional coupling at the point of contact. Self-liquidation of SU and EA occurs in a new resonance zone.</p>