The conditions of the automated coordination of the assembly components' mutual position
The formalized description of the details’ overlapping process at assembly with using of the multitudes' theory is offered. The necessary and sufficient conditions of the automated coordination of the assembly components' mutual position are formulated and proved. The necessary condition of the automated coordination is realization of purposeful moving of details' connecting surfaces on program trajectories of overlapping by the assembly device. The sufficient condition of the automated coordination is the monotone decrease of orientation’s error of connecting surfaces at detail’s moving on the program trajectory of overlapping.