Comparison of Crack Detection Performance of Low and High Contact Ratio Spur Gears
Source abstract
Abstract
This paper discusses the possible early crack detectability performances of low contact ratio (LCR) and high contact ratio (HCR) spur gears. CAD models of the LCR and HCR gears are created using the rack cutter type tool. Static bending stress analyses are performed to define the starting point of the cracks and crack propagation analyses are conducted to define the realistic crack paths. Using the healthy and cracked gear geometries, the single tooth stiffness (STS) and the time-varying mesh stiffness (TVMS) of the LCR and HCR gears are calculated numerically. A six degrees of freedom dynamic model of the single-stage gear system is proposed. Dynamic force variation of the LCR and HCR gears are calculated by using the dynamic model. Statistical failure indicators, which are kurtosis, RMS, crest factor, mean, standard deviation, and variance, are used for the determination of the crack in the early stage. The results show that all statistical indicators increase with the increase in the crack length. The statistical indicators increase more for LCR gears than for HCR gears. Although HCR gears have many advantages over LCR gears, it has been determined that their crack detection capacity is lower than that of LCR gears.
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Research context
OpenAlex topics: Gear and Bearing Dynamics Analysis · Advanced machining processes and optimization · Engineering Applied Research
SciVX discovery tags are terminology-based. OpenAlex topics are source-provided classifications.
Affiliations
Department of Mechanical Engineering, Kahramanmaras Sutcu Imam University, 46040 Kahramanmaras, Türkiye
References (33)
Show source-provided references
1. Dynybyl, V., Berka, O., Petr, K., Lopot, F., and Dub, M. (2016). HCR Gears in the industrial gearbox. The Latest Methods of Construction Design, Springer.10.1007/978-3-319-22762-7 ↗
2. High-contact ratio spur gears with conformal contact and reduced sliding10.1016/j.rineng.2022.100412 ↗
3. Performance evaluation of low- and high-contact ratio spur gears: Dynamic response and bending strength10.1007/s42417-022-00450-x ↗
4. Karpat, F., and Ekwaro-Osire, S. (November, January 31). Dynamic analysis of high-contact-ratio spur gears with asymmetric teeth. Proceedings of the ASME International Mechanical Engineering Congress and Exposition, Boston, MA, USA.
5. Karpat, F., and Ekwaro-Osire, S. (2010, January 12–18). Efficiency of the high contact ratio involute spur gears with asymmetric teeth. Proceedings of the ASME International Mechanical Engineering Congress and Exposition, Vancouver, BC, Canada.10.1115/IMECE2010-40933 ↗
6. Shah, S. (2016). Minimizing the Dynamic Load of High Contact Ratio Spur Gear Using Profile Modification. [Master’s Thesis, University of Memphis].
7. Crack behavior in a high contact ratio spur gear tooth and its effect on mesh stiffness10.1016/j.engfailanal.2013.07.008 ↗
8. An improved time-varying mesh stiffness algorithm and dynamic modeling of gear-rotor system with tooth root crack10.1016/j.engfailanal.2014.04.005 ↗
9. Analytical model for meshing stiffness, load sharing, and transmission error for spur gears with profile modification under non-nominal load conditions10.1016/j.apm.2021.03.051 ↗
10. Approximate equations for the meshing stiffness and the load sharing ratio of spur gears including hertzian effects10.1016/j.mechmachtheory.2016.11.014 ↗
11. Karpat, F., Dogan, O., Yuce, C., and Ekwaro-Osire, S. (2017). An improved numerical method for the mesh stiffness calculation of spur gears with asymmetric teeth on dynamic load analysis. Adv. Mech. Eng., 9.10.1177/1687814017721856 ↗
12. Mesh stiffness calculation of a spur gear pair with tooth profile modification and tooth root crack10.1016/j.mechmachtheory.2012.10.012 ↗
13. Lewicki, D.G., and Ballarini, R. (1996). Effects of Rim Thickness on Gear Crack Propagation Path, NASA. NASA Technical Report ARL-TR-1100.
14. Recent progress on decoupling diagnosis of hybrid failures in gear transmission systems using vibration sensor signal: A review10.1016/j.measurement.2016.04.036 ↗
15. Spur gear tooth root crack detection using time synchronous averaging under fluctuating speed10.1016/j.measurement.2014.02.029 ↗
16. A novel method for condition monitoring of rotating machinery based on statistical linguistic analysis and weighted similarity measures10.1016/j.jsv.2016.12.005 ↗
17. Planet gear fault localization for wind turbine gearbox using acoustic emission signals10.1016/j.renene.2017.03.035 ↗
18. Tian, X. (2004). Dynamic Simulation for System Response of Gearbox Including Localized Gear Faults. [Master’s Thesis, University of Alberta].
19. Crack detection of a modified high contact ratio gear10.1016/j.engfailanal.2023.107493 ↗
20. Effects of tooth root cracks on vibration and dynamic transmission error responses of asymmetric gears: A comparative study10.1080/15397734.2023.2186892 ↗
21. A windowing and mapping strategy for gear tooth fault detection of a planetary gearbox10.1016/j.ymssp.2016.04.034 ↗
22. Dynamic response and time-frequency analysis for gear tooth crack detection10.1016/j.ymssp.2015.05.015 ↗
23. Fault mode analysis and detection for gear tooth crack during its propagating process based on dynamic simulation method10.1016/j.engfailanal.2016.11.003 ↗
24. Crack detection for spur gears with asymmetric teeth based on the dynamic transmission error10.1016/j.mechmachtheory.2018.11.026 ↗
25. Colbourne, J.R. (1987). The Geometry of Involute Gears, Springer.10.1007/978-1-4612-4764-7 ↗
26. Litvin, F.L., and Fuentes, A. (2004). Gear Geometry and Applied Theory, Cambridge University Press. [2nd ed.].10.1017/CBO9780511547126 ↗
27. Stress analysis of involute spur gears with different parameters by finite element and graphical method
28. Lewicki, D.G. (1996). Crack Propagation Studies to Determine Benign or Catastrophic Failure Modes for Aerospace Thin-Rim Gears, NASA. NASA Technical Report ARL-TR-971.
29. ANSYS Crack-Growth Capabilities for R19.0, ANSYS Technical Support Documentation.
30. Effects of rim thickness and drive side pressure angle on gear tooth root stress and fatigue crack propagation life10.1016/j.engfailanal.2021.105260 ↗
31. An extended model for determining dynamic loads in spur gearing
32. Dynamic load analysis of spur gears using a new tooth profile10.1115/1.2826851 ↗
33. A non-linear mathematical model for dynamic analysis of spur gears including shaft and bearing dynamics10.1016/0022-460X(91)90590-G ↗