Influence of centre distance deviation on the interference of a spur gear pair

Gear design generally considers global geometry like tooth profile shape and centre distance, however, it needs also to consider the tolerances introduced in the manufacturing and assembly of two mating gears. The influence of these tolerances can be predicted better by understanding the behaviour of such manufacturing and assembly errors in conjunction with the gear geometry design process. To address this, in the present study the influence of the centre distance deviation and of the design parameters (i.e., cutter tip radius, dedendum, and tooth thickness) of the tooth profiles on interference will be investigated. An analytical modelling framework for interference of a gear pair is developed, which is used to characterise a structurally well-defined gear meshing system. Non-dimensionalisation methodology has been used to reduce the number of independent parameters and quantify the influence of the latter on interference risk. The tolerance zone is evaluated, with regard to cutter tip radius, dedendum, tooth thickness and centre distance deviation for a structurally well-defined gear mesh model. Different gear transmission ratio, contact ratio and a pressure angle of 20° have been considered. The results of the present work can be used as a guideline for the tolerance design of a gear pair.

[1]  E. Buckingham.  Analytical mechanics of gears , 1949 .

[2]  Donald R. Houser,et al.  Optimum Profile Modifications for the Minimization of Static Transmission Errors of Spur Gears , 1986 .

[3]  Robert Errichello,et al.  The Geometry of Involute Gears , 1987 .

[4]  F. Litvin,et al.  Gear geometry and applied theory , 1994 .

[5]  Dennis P. Townsend,et al.  Balancing Dynamic Strength of Spur Gears Operated at Extended Center Distance , 1996 .

[6]  Shih-Hsi Tong,et al.  Design of new tooth profiles for high-load capacity gears , 2001 .

[7]  Matthew Christie,et al.  Torque loss in spur gears with interference , 2003 .

[8]  Robert G. Parker,et al.  Influence of manufacturing errors on the dynamic characteristics of planetary gear systems , 2004 .

[9]  Christos Spitas,et al.  Can non-standard involute gears of different modules mesh? , 2006 .

[10]  Christos Spitas,et al.  Generating standard 20° involute pinions with increased fillet strength by using 25° rack cutters with non-standard module , 2006 .

[11]  Gui Cheng Wang,et al.  Study on Eccentricity and Minimum Geometrical Center Distance of the Eccentric Involute Gears Transmission , 2006 .

[12]  Christos Spitas,et al.  Non-linear dynamical simulation of spur gears with indexing errors and profile modifications , 2006 .

[13]  Christos Spitas,et al.  A FEM Study of the Bending Strength of Circular Fillet Gear Teeth Compared to Trochoidal Fillets Produced with Enlarged Cutter Tip Radius , 2007 .

[14]  Christos Spitas,et al.  Four-Parametric Design Study of the Bending Strength of Circular-Fillet Versus Trochoidal-Fillet in Gear Tooth Design Using BEM , 2007 .

[15]  Giorgio Bonori,et al.  Non-smooth dynamics of spur gears with manufacturing errors , 2007 .

[16]  F. G. Nakhatakyan.  Determining the flexural stress concentration factor for gear teeth taking into account elastic deformations and errors in manufacture and assembly of gearing elements , 2008 .

[17]  Francesco Pellicano,et al.  Optimum profile modifications of spur gears by means of genetic algorithms , 2008 .

[18]  Christos Spitas,et al.  Effect of Cutter Pressure Angle on the Undercutting Risk and Bending Strength of 20° Involute Pinions Cut with Equivalent Nonstandard Cutters , 2008 .

[19]  James R. Ottewill,et al.  Intermittent gear rattle due to interactions between forcing and manufacturing errors , 2009 .

[20]  Marijonas Bogdevičius,et al.  Vehicle Gearbox Dynamics: Centre Distance Influence on Mesh Stiffness and Spur Gear Dynamics , 2010 .

[21]  M. Nataraj,et al.  Profile modification—a design approach for increasing the tooth strength in spur gear , 2011 .

[22]  Ling Li Jin,et al.  The Influence of the Center-to-Center Distance on the Accuracy of the Serration with the New Gear Hob , 2012 .

[23]  A. H. Elkholy,et al.  Localised tooth contact analysis of single envelope worm gears with assembly errors , 2013 .

[24]  Zaigang Chen,et al.  Mesh stiffness calculation of a spur gear pair with tooth profile modification and tooth root crack , 2013 .

[25]  V. Spitas,et al.  Parametric investigation of the combined effect of whole depth and cutter tip radius on the bending strength of 20° involute gear teeth , 2014 .