Deflection along Line of Action of Idle Gear with both Thin Rim and Radial Clearance between Rim and Gear Shaft : Series C : Vibration, Control Engineering, Engineering for Industry

An idle gear with a thin rim is replaced by an equivalent ring whose bending stiffness is equal to that of the idle gear. Then the radial, tangential and angular displacements of the equivalent ring are analyzed theoretically considering the condition of contact between the idle gear and the gear shaft. Further, the displacements of the equivalent ring are translated to those along the line of action in order to obtain the deflection of the rim of the idle gear along the line of action. Consequently the deflection of the idle gear is obtained by adding the deflection to that of a tooth which is widely used. The deflection obtained theoretically agrees comparatively with that obtained by the finite element method.