Analytical load sharing and mesh stiffness model for spur/helical and internal/external gears – Towards constant mesh stiffness gear design

Abstract In previous works the authors presented two load distribution models for gears. One of the models was based on the rigid tooth assumption and the more complex of the two took advantage of influence coefficients obtained from a FEM model to find the load distribution. In this work an analytical model relying on the ISO 6336 maximum teeth stiffness and a parabolic single tooth stiffness per unit of single line length was developed. This load distribution model relies on an original description of the contact line length based on Heaviside functions to find the gear mesh stiffness. The proposed model is of straight forward implementation, very little computational cost and yields promising results. The concept of constant mesh stiffness gear design is also introduced.

[1]  Ramiro C. Martins,et al.  Power loss and load distribution models including frictional effects for spur and helical gears , 2016 .

[2]  Zoran Milojevic,et al.  A practical approach to the optimization of gear trains with spur gears , 2012 .

[3]  Shyi-Jeng Tsai,et al.  A computerized method for loaded tooth contact analysis of high-contact-ratio spur gears with or without flank modification considering tip corner contact and shaft misalignment , 2016 .

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

[5]  P. Velex,et al.  A model for simulating the quasi-static and dynamic behaviour of solid wide-faced spur and helical gears , 2005 .

[6]  Francesco Pellicano,et al.  Dynamic optimization of spur gears , 2011 .

[7]  A. Fernandez del Rincon,et al.  A model for the study of meshing stiffness in spur gear transmissions , 2013 .

[8]  A. Diez-Ibarbia,et al.  Planetary transmission load sharing: Manufacturing errors and system configuration study , 2017 .

[9]  José I. Pedrero,et al.  Load distribution model along the line of contact for involute external gears , 2010 .

[10]  Mohamad Ali Hajabasi,et al.  Vibration behavior optimization of planetary gear sets , 2014 .

[11]  Christopher G. Cooley,et al.  Dynamic tooth root strains and experimental correlations in spur gear pairs , 2016 .

[12]  Brian A. Shaw,et al.  External spur gear root bending stress: A comparison of ISO 6336:2006, AGMA 2101-D04, ANSYS finite element analysis and strain gauge techniques , 2017 .

[13]  Ramiro C. Martins,et al.  Gearbox power loss. Part II: Friction losses in gears , 2015 .

[14]  Francisco T. Sanchez-Marin,et al.  Numerical tooth contact analysis of gear transmissions through the discretization and adaptive refinement of the contact surfaces , 2016 .

[15]  Ramiro C. Martins,et al.  Load Distribution in Spur Gears Including the Effects of Friction , 2015 .

[16]  Constantin Weber,et al.  Formänderung und Profilrücknahme : bei gerad- und schrägverzahnten Rädern , 1953 .

[17]  Kunikazu Hayashi.  Load Distribution on the Contact Line of Helical Gear Teeth : Part 1 Fundamental Concept , 1963 .