Abstract
The author deals with a one-dimensional power-transmission system having an angular clearance excited by a static torque and a cosine torque simultaneously. He solves rigorously subharmonic vibration of bilateral mode without damping, and discusses stability discrimination, then solves approximately the maximum amplitude state of the system under velocity-proportional damping, and as a result he is convinced that the latter approximation not only is easy to calculate, but also serves as stability discriminant. As the result of these studies the incorrectness and insufficient descriptions in the former reports are disclosed, and they are revised and supplemented in the present paper. Finally the author solves approximately the maximum amplitude state of the system retarded not only by linear damping, but also collision damping, which takes place at the clearance parts losing energy in the moment of their collision. A series of numerical diagrams is presented, making use of which these calculations can be performed easier. Experimental study of the system under collision damping will be reported in the next paper.
