Analysis of effects of number of teeth and pitch error on transmission error in spur gear using interference volume method

Abstract

In every power transmission system, it is necessary to transmit the power effectively and smoothly. Any variations in transmission of power or torque will results in unwanted noise or vibrations development. Transmission Error (TE) is one of the factors which leads to noise or vibrations in gear transmission system. TE arises due to the various types of errors such as alignment error, tooth geometry error, backlash, cracks, profile error etc. in a gear pair. TE is the difference in the position of the output shaft from its actual position in a true gear pair. In this work the consequences occurring due to the change in number of teeth and pitch error on TE is observed using interference volume method. The spur gear pair of 1:1 gear ratio having involute tooth profile of standard and stub tooth proportions are taken for the work. The gears for the analyses are modelled and meshed/assembled in CAD software SOLIDWORKS. The interference volume values obtained during meshing are recorded for one mesh cycle of the gear pair. Then various graphs are plotted between the angle of rotation for one mesh cycle and interference volume values for different number of teeth and amount of pitch error. From the analyses it is found that the TE is affected when the number of teeth and amount of pitch error are varied. Also, the effects of variation of pitch error and number of teeth on TE is more in standard tooth proportion than stub tooth proportion.