Coupled Torsional-flexural Vibration of a Shaft in a Geared System : 3rd Report, Dynamic Characteristics of a Counter Shaft in a Gear Train System

Abstract

Gear train system sometimes consists of more than 2 shafts. But dynamic characteristics of such system have not been analyzed in detail. Especially, on a counter shaft on which there are 2 pairs of gears in mesh, their power transmitting direction does not coincide each other. As a result, vibrations of power transmitting direction and tooth sliding direction couple together even if gyro effect is ignored. We discuss the dynamic characteristics of a counter shaft from this point of view. The results obtained from this investigation are : (1) Affected by the angle between 2 power transmitting directions on a counter shaft, the natural frequencies and mode shapes change. (2) Usually, when the shafts are rotated inversely, its natural frequencies and mode shapes change. (3) The flexural mode shape is not confined in a plane.