Explicit Parametric Method for Optimal Spur Gear Tooth Profile Definition

Abstract:

The gear tooth profile has an immense effect on the main operating parameters of gear pairs (load capacity, working life, efficiency, vibrations, etc). In current engineering research and practice, there is a strong need to develop methods for tooth profile optimization. In this paper a new method for selecting the optimal tooth profile parameters of spur gears is described. This method has been named the Explicit Parametric Method (EPM). The addendum modification coefficient, radius of root curvature, and pressure angle of the basic rack for cylindrical gears, have been identified as the main tooth profile parameters of spur gears. Therefore, the EPM selects the optimal values for these three tooth profile parameters. Special attention has been paid to develop a method of adjustment for the particular working conditions and explicit optimization requirements. The EPM for optimal tooth profile parameters of gears uses contact nonlinear Finite Element Analysis (FEA) for calculation of deformations and stresses of gear pairs, in addition to explicit comparative diagrams for optimal tooth profile parameter selection.

• Periodical: Advanced Materials Research (Volume 633)
• Pages: 87-102
• DOI: https://doi.org/10.4028/www.scientific.net/AMR.633.87
• Online since: January 2013
• Authors: Ivana Atanasovska, Radivoje Mitrovic, Dejan Momcilovic
• Keywords: Explicit Parametric Method (EPM), Finite Element Analysis (FEA), Optimization, Spur Gears

References

[1] S. Baglioni, F. Cianetti, L. Landi, Influence of the addendum modification on spur gear efficiency, Mechanism and Machine Theory. 49 (2012) 216–233.

DOI: 10.1016/j.mechmachtheory.2011.10.007

[2] I. Atanasovska, V. Nikolić, D. Dimitrijević, D. Momčilović, The methodology for helical gear teeth profile optimization, Proceedings of KOD 2008, Novi Sad, Serbia, April 15-16 (2008) 73-76.

[3] R. Mitrović, I. Atanasovska, D. Momčilović, Prediction of crack initiation in spur gear contact zone, Proceedings of KOD 2012, Balathonfured, Hungary, May 24-26 (2012) 37-44.

[4] N.L. Pedersen, Improving bending stress in spur gears using asymmetric gears and shape optimization, Mechanism and Machine Theory. 45 (2010) 1707–1720.

DOI: 10.1016/j.mechmachtheory.2010.06.004

[5] Standard ISO 53, Cylindrical gears for general and heavy engineering — Standard basic rack tooth profile (1998).

DOI: 10.3403/01494562

[6] D. Gunay, H. Ozer, A. Aydemir, The effects of addendum modification coefficient on tooth stresses of spur gear, Mathematical & Computational Applications. 1(1) (1996) 36-43.

DOI: 10.3390/mca1010036

[7] S. Li, Effect of addendum on contact strength, bending strength and basic performance parameters of a pair of spur gears, Mechanism and Machine Theory 43 (2008) 1557–1584.

DOI: 10.1016/j.mechmachtheory.2007.12.010

[8] I. Atanasovska, V. Nikolic, Influence of addendum modification coefficient on the gear load capacity, The 16th European Conference of Fracture (ECF16), Alexandroupolis, Greece, July 3-7 (2006).

[9] I. Atanasovska, D. Momčilović, Study of tooth profile with aspect of spur gear tooth bending strength, Monograph MACHINE DESIGN, University of Novi Sad, Faculty of Technical Sciences, Novi Sad (2008) pp.43-46.

DOI: 10.24867/grid-2020-p68

[10] Standard DIN 3992, Addendum modification of external spur and helical gears (1964).

[11] ISO/TR 4467,  Addendum modification of the teeth of cylindrical gears for speed-reducing and speed-increasing gear pairs (1982).

[12] V. Nikolić, I. Atanasovska (Cvejić), The analysis of contact stress on meshed teeth's flanks along the path of contact for a tooth pair, The Scientific Journal: Facta Universitatis, Series: Mechanics, Automatic Control and Robotics, University of Niš. 3(15) (2003).

[13] I. Atanasovska, V. Nikolić, D. Momčilović, S. Vulović, Developing of gear FEM model for nonlinear contact analysis, The 1st International Congress of Serbian Society of Mechanics, Kopaonik, Serbia, April 10-13 (2007) 695-703.

[14] I. Atanasovska, V. Nikolić, 3D spur gear FEM model for the numerical calculation of face load factor, The Scientific Journal: Facta Universitatis, Series: Mechanics, Automatic Control and Robotics. 6(1) (2007) 131-143.

[15] I. Atanasovska, R. Mitrović, D. Momčilović, A. Subić, Analysis of the nominal load effects on gear load capacity using the finite element method, Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science. 224(11) (2010).

DOI: 10.1243/09544062jmes2508

[16] V. Nikolić, I. Atanasovska (Cvejić), The analysis of the factor of load distribution over tooth pairs in mesh, in respect of contact stress of tooth flanks, Journal Technique, Mechanical Engineering 49, Belgrade, June (2000) M1-M5.

[17] I. Atanasovska, Influence of stiffness and base pitch deviation on load distribution between tooth pairs and involute gear load capacity, Monograph MACHINE DESIGN University of Novi Sad, Faculty of Technical Sciences, Novi Sad (2007) 259-264.

DOI: 10.24867/grid-2020-p68

[18] M. Ristivojević, Analysis of the influence of teeth geometry and the load distribution on the surface durability of the cylindrical gears, Doctoral Thesis, Belgrade (1991) (in Serbian).

[19] A.L. Kapelevich, Y.V. Shekhtman, Direct Gear Design: Bending Stress Minimization, September/October (2003) 44–47.

[20] V. Nikolić, Machine parts, theory and examples, Kragujevac (1995).

[21] T. Vuherer, Lj. Milovic, V. Gliha, Behaviour of small cracks during their propagation from Vickers indentations in coarse-grain steel: An experimental investigation, International Journal of Fatigue, 33 (2011) 1505–1513.

DOI: 10.1016/j.ijfatigue.2011.06.008