A Novel Method for Evaluating the Dynamic Load Factor of An Involute Gear Tooth with Asymmetric Profiles

Abstract

In this paper a new generation of asymmetric tooth profile gear is considered  to enhance the dynamic behavior and vibroacoustic properties of toothed gear system. This paper presents a non linear dynamic model as a single degree of freedom equation for teeth meshing   gear system which includes   static and dynamic transmission error in order to investigate the influence of time varying mesh stiffness and periodic tooth errors on dynamic load factor for symmetric and asymmetric spur teeth profile.  A new  model of nonlinear time varying mesh stiffness is based on four types of deflections with consideration a small   pressure angle for loaded tooth profile side and high pressure angle for another side. The complicated variation of meshing stiffness as a function of contact point along the mesh cycle is studied. Typical dynamic load factor equations are developed for symmetric and asymmetric tooth gear in single   and double tooth contact by studied symmetrictooth with pressure angle ( 20⁰/20⁰ ) and two pairs of asymmetric teeth (14.5⁰/25⁰ & 20⁰/25⁰ ).  The effect of pressure of asymmetry and static transmitted load   on transmission error and dynamic load factorare studied. The results indicate enhancement  percentage   in transmission error and dynamic load factor for asymmetric teeth profile compare with that symmetric   tooth profile    .

Keywords: Asymmetric spur gear, Transmission Error   , Non-linear mesh stiffness