journal article·2013-03

Critical stress and load conditions for bending calculations of involute spur and helical gears

Miryam B. Sánchez, José I. Pedrero, Miguel Pleguezuelos

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Abstract

Abstract In this paper, a non-uniform model of load distribution along the line of contact of spur and helical gears, obtained from the minimum elastic potential criterion, has been used, combined with the equations of the linear elasticity, to evaluate the fatigue tooth-root stress. The critical value of the stress and the critical load conditions have been obtained and a complete analysis of the tooth bending strength has been carried out. As the load per unit of length at any point of the line of contact and any position of the meshing cycle has been described by a very simple analytic equation, a complete study of the location and the value of the tooth-root bending stress has been carried out. From this study, a recommendation for the calculation of the bending load capacity of spur and helical gears is proposed.
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Research context

OpenAlex topics: Gear and Bearing Dynamics Analysis · Mechanical Engineering and Vibrations Research · Mechanical stress and fatigue analysis

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References (26)

Show source-provided references
1. AGMA Standard 2001-D04 · 2004
2. AGMA Information Sheet 908-B89 · 1989
3. ISO Standard 6336-3:2006 · 2006
4. ISO Standard 6336-1:2006 · 2006
5. Load distribution on the contact line of helical gear teeth
6. Vedmar L. On the design of external involute helical gears. Ph.D. thesis. Lund Technical University, Lund, Sweden; 1981.
7. Load distribution and topological flank modification of helical and double helical gears
8. Boerner J. Very efficient calculation of the load distribution on external gear sets – the method and applications of the program LVR. In: Proc. 7th international power transmission and gearing conference, San Diego, CA; 1996.
9. Analysis of tooth contact and load distribution of helical gears with crossed axes10.1016/S0094-114X(98)00006-8 ↗
10. Arafa MH, Megahed MM. Evaluation of spur gear mesh compliance using the Finite Element Method. In: Proc. institution of mechanical engineers, vol. 213(Part C); 1999.10.1243/0954406991522509 ↗
11. Efficient evaluation of spur gear tooth mesh load using pseudo-interference stiffness estimation method
12. Express model for load sharing and stress analysis in helical gears10.1115/1.1992509 ↗
13. A model for simulating the quasi-static and dynamic behavior of solid wide-faced spur and helical gears10.1016/j.mechmachtheory.2003.06.001 ↗
14. Effects of machining errors, assembly errors and tooth modifications on loading capacity, load-sharing ratio and transmission error of a pair of spur gears10.1016/j.mechmachtheory.2006.06.002 ↗
15. Effect of addendum on contact strength, bending strength and basic performance parameters of a pair of spur gears10.1016/j.mechmachtheory.2007.12.010 ↗
16. Comparative analysis of tooth-root strength using ISO and AGMA standards in spur and helical gears with FEM-based verification10.1115/1.2214735 ↗
17. Finite element analyses for contact strength and bending strength of a pair of spur gears with machining errors, assembly errors and tooth modifications10.1016/j.mechmachtheory.2006.01.009 ↗
18. Improving bending stress in spur gears using asymmetric gears and shape optimization10.1016/j.mechmachtheory.2010.06.004 ↗
19. Modelo de distribución de carga en engranajes cilíndricos de perfil de evolvente
20. Pedrero JI, Artés M, Pleguezuelos M, García–Masiá C, Fuentes A. Theoretical model for load distribution on cylindric gears: application to contact stress analysis. AGMA Paper 99FTM15; 1999.
21. Pleguezuelos M. Modelo de distribución de carga en engranajes cilíndricos de perfil de evolvente. Ph.D. thesis. UNED, Madrid, Spain; 2006.
22. Calculation of tooth bending strength and surface durability of high transverse contact ratio spur and helical gear drives10.1115/1.2403773 ↗
23. Load distribution model along the line of contact for involute external gears10.1016/j.mechmachtheory.2009.12.009 ↗
24. Critical stress and load conditions for pitting calculations of spur and helical gear teeth
25. Critical stress and load conditions for pitting calculations of spur and helical gear teeth
26. Determination of the ISO tooth form factor for involute spur and helical gears10.1016/S0094-114X(98)00017-2 ↗