On the Vibration of a Power-Transmission System Having Angular Clearances, Part 2 : Approximate Analysis of a System Retarded by Collision Damping as well as Velocity-Proportional Damping

Abstract

The author solves approximately the maximum amplitude state of one-dimensional systems retarded not only by linear damping, but also collision damping, which takes place at the clearance parts losing energy in the instant of their collision. In the first section a one-mass one-stiffness system is mentioned but later a two-mass one-stiffness system, of which the author performed an experiment that will be described in the next paper, verifying that the theory given in this paper is pracically true. A series of numerical diagrams is presented, making use of which the above calculations can be performed easier. Then the estimation of collision velocity may be given practically as well as of frequency and amplitude at the maximum amplitude state, if the data of the system dimensions and velocity-proportional damping coefficient are given. The estimated collision velocity may be a useful key of the problem about the fatigue failure of clearance parts.