Abstract
As a result of polymer materials development and the use of additive manufacturing technologies, gear wheels made of polymer materials are becoming widespread in many areas of the industry. In recent years, determining the dynamic behavior of polymer gears has gained significant importance because it is desired to carry more loads and operate at higher speeds. Since it is one of the most critical factors affecting dynamic behavior, tooth stiffness should also be determined. In this study, the single-tooth stiffness (STS) of polymer gears with symmetrical and asymmetrical profile was measured experimentally with a unique test setup. Force was applied to three different points on the tooth, and the resulting deflection was measured with the help of linear variable differential transformer and a high-speed camera. Using the obtained deflection values, STS of the polymer tooth was calculated depending on the pressure angle. The experimental results are also compared with the finite element model created, and it is found that the results are matched well. As a result of the study, it is determined that the drive-side pressure angle of the polymer gear increased from 20° to 32°, and the tooth stiffness increased by approximately 10.8%.
-
Author contributions: All the authors have accepted responsibility for the entire content of this submitted manuscript and approved submission.
-
Research funding: None declared.
-
Conflict of interest statement: The authors declare no conflicts of interest regarding this article.
References
[1] C. Y. Tsai, “Gear module adjustment method for shrinkage compensation of injection molded plastic gears using single dedicated hob,” Mech. Mach. Theory, vol. 140, pp. 233–244, 2019, https://doi.org/10.1016/j.mechmachtheory.2019.05.026.Search in Google Scholar
[2] K. Mao, W. Li, C. J. Hooke, and D. Walton, “Friction and wear behaviour of acetal and nylon gears,” Wear, vol. 267, nos 1–4, pp. 639–645, 2009, https://doi.org/10.1016/j.wear.2008.10.005.Search in Google Scholar
[3] H. B. Subburamamurthy, R. Rathanasamy, H. K. M. Kumar, M. Chinnasamy, G. V. Kaliyannan, and S. Natarajan, “Improvement of the mechanical and damping behavior of nylon by integration of nanoclay platelets,” Mater. Test., vol. 63, no. 12, pp. 1124–1129, 2021, https://doi.org/10.1515/mt-2021-0055.Search in Google Scholar
[4] H. Düzcükoǧlu, “Study on development of polyamide gears for improvement of load-carrying capacity,” Tribol. Int., vol. 42, pp. 1146–1153, 2009, https://doi.org/10.1016/j.triboint.2009.03.009.Search in Google Scholar
[5] A. Kapelevich, “Optimal polymer gear design: metal-to-plastic conversion,” Gear Technol., no. May 2020, pp. 40–45, 2020.10.1201/9781003171485Search in Google Scholar
[6] A. K. Singh, Siddhartha, and P. K. Singh, “Polymer spur gears behaviors under different loading conditions: a review,” Proc. Inst. Mech. Eng. Part J J. Eng. Tribol., vol. 232, pp. 210–228, 2018, https://doi.org/10.1177/1350650117711595.Search in Google Scholar
[7] C. Hasl, H. Liu, P. Oster, T. Tobie, and K. Stahl, and Gear Research Centre, “Method for calculating the tooth root stress of plastic spur gears meshing with steel gears under consideration of deflection-induced load sharing,” Mech. Mach. Theory, vol. 111, pp. 152–163, 2017, https://doi.org/10.1016/j.mechmachtheory.2017.01.015.Search in Google Scholar
[8] T. Jabbour and G. Asmar, “Stress calculation for plastic helical gears under a real transverse contact ratio,” Mech. Mach. Theory, vol. 44, no. 12, pp. 2236–2247, 2009, https://doi.org/10.1016/j.mechmachtheory.2009.07.003.Search in Google Scholar
[9] A. Bravo, D. Koffi, L. Toubal, and F. Erchiqui, “Life and damage mode modeling applied to plastic gears,” Eng. Fail. Anal., vol. 58, pp. 113–133, 2015, https://doi.org/10.1016/j.engfailanal.2015.08.040.Search in Google Scholar
[10] D. Miler, M. Hoić, S. Škec, and D. Žeželj, “Optimisation of polymer spur gear pairs with experimental validation,” Struct. Multidiscip. Optim., vol. 62, pp. 3271–3285, 2020, https://doi.org/10.1007/s00158-020-02686-1.Search in Google Scholar
[11] M. Jain, S. Patil, and S. S. Ghosh, “A review on failure characteristics of polymeric gears,” AIP Conf. Proc., vol. 2418, no. 1, p. 030057, 2019, https://doi.org/10.1063/1.5123979.Search in Google Scholar
[12] P. Kumar, R. K. Kommogi, and S. Senthilvelan, “Injection molded asymmetric spur gear—development and preliminary performance evaluation,” Int. J. Plast. Technol., vol. 13, pp. 186–192, 2009, https://doi.org/10.1007/s12588-009-0014-2.Search in Google Scholar
[13] A. Karthik Pandian, S. S. Gautam, and S. Senthilvelan, “Experimental and numerical investigation of the bending fatigue performance of symmetric and asymmetric polymer gears,” Proc. Inst. Mech. Eng. Part L J. Mater. Des. Appl., vol. 234, no. 6, pp. 819–834, 2020, https://doi.org/10.1177/1464420720909486.Search in Google Scholar
[14] N. Anand Mohan and S. Senthilvelan, “Preliminary bending fatigue performance evaluation of asymmetric composite gears,” Mech. Mach. Theory, vol. 78, pp. 92–104, 2014, https://doi.org/10.1016/j.mechmachtheory.2014.03.006.Search in Google Scholar
[15] F. Karpat, O. Dogan, C. Yuce, and S. Ekwaro-Osire, “An improved numerical method for the mesh stiffness calculation of spur gears with asymmetric teeth on dynamic load analysis,” Adv. Mech. Eng., vol. 9, no. 8, pp. 1–12, 2017, https://doi.org/10.1177/1687814017721856.Search in Google Scholar
[16] I. Yesilyurt, F. Gu, and A. D. Ball, “Gear tooth stiffness reduction measurement using modal analysis and its use in wear fault severity assessment of spur gears,” NDT & E Int., vol. 36, no. 5, pp. 357–372, 2003, https://doi.org/10.1016/S0963-8695(03)00011-2.Search in Google Scholar
[17] J. H. Kuang and A. D. Lin, “The effect of tooth wear on the vibration spectrum of a spur gear pair,” J. Vib. Acoust., vol. 123, no. 3, pp. 311–317, 2001, https://doi.org/10.1115/1.1379371.Search in Google Scholar
[18] A. D. Lin and J. H. Kuang, “Dynamic interaction between contact loads and tooth wear of engaged plastic gear pairs,” Int. J. Mech. Sci., vol. 50, no. 2, pp. 205–213, 2008, https://doi.org/10.1016/j.ijmecsci.2007.07.002.Search in Google Scholar
[19] F. Karpat, S. Ekwaro-Osire, C. Yuce, and E. Karpat, “A virtual tool for wear simulation of plastic gear pairs,” in 2013 International Mechanical Engineering Congress and Exposition, Proc. of the IMECE, San Diego, USA, ASME, 2013, pp. 1–10.10.1115/IMECE2013-65254Search in Google Scholar
[20] J. Duhovnik, D. Zorko, and L. Sedej, “The effect of the teeth profile shape on polymer gear pair properties,” Tehnički vjesnik, vol. 23, no. 1, pp. 199–207, 2016, https://doi.org/10.17559/TV-20151028072528.Search in Google Scholar
[21] P. K. Meuleman, D. Walton, K. D. Dearn, D. J. Weale, and I. Driessen, “Minimization of transmission errors in highly loaded plastic gear trains,” Proc. Inst. Mech. Eng. Part C J. Mech. Eng. Sci., vol. 221, no. 9, pp. 1117–1129, 2007, https://doi.org/10.1243/09544062JMES439.Search in Google Scholar
[22] M. H. Tsai and Y. C. Tsai, “A method for calculating static transmission errors of plastic spur gears using FEM evaluation,” Finite Elem. Anal. Des., vol. 27, pp. 345–357, 1997, https://doi.org/10.1016/S0168-874X(97)81968-3.Search in Google Scholar
[23] M. Kodeeswaran, R. Suresh, and S. Senthilvelan, “Effect of strain rate on bending and transmission characteristics of injection molded polyamide 66 spur gears,” Proc. Inst. Mech. Eng. Part L J. Mater. Des. Appl., vol. 223, no. 6, pp. 1145–1155, 2019, https://doi.org/10.1177/1464420717724484.Search in Google Scholar
[24] Y. Pandya and A. Parey, “Experimental investigation of spur gear tooth mesh stiffness in the presence of crack using photoelasticity technique,” Eng. Fail. Anal., vol. 34, pp. 488–500, 2013, https://doi.org/10.1016/j.engfailanal.2013.07.005.Search in Google Scholar
[25] N. K. Raghuwanshi and A. Parey, “Experimental measurement of mesh stiffness by laser displacement sensor technique,” Measurement, vol. 128, pp. 63–70, 2018, https://doi.org/10.1016/j.measurement.2018.06.035.Search in Google Scholar
[26] N. K. Raghuwanshi and A. Parey, “Experimental measurement of gear mesh stiffness of cracked spur gear by strain gauge technique,” Measurement, vol. 86, pp. 266–275, 2016, https://doi.org/10.1016/j.measurement.2016.03.001.Search in Google Scholar
[27] F. Karpat, C. Yuce, and O. Dogan, “Experimental measurement and numerical validation of single tooth stiffness for involute spur gears,” Measurement, vol. 150, no. 107043, pp. 1–9, 2020, https://doi.org/10.1016/j.measurement.2019.107043.Search in Google Scholar
[28] D. J. Weale, J. White, and D. Walton, “Effect of fibre orientation and distribution on the tooth stiffness of a polymer composite gear,” J. Reinf. Plast. Compos., vol. 18, no. 5, pp. 454–463, 1999, https://doi.org/10.1177/073168449901800505.Search in Google Scholar
[29] P. Blais and L. Toubal, “Single-Gear-Tooth Bending Fatigue of HDPE reinforced with short natural fiber,” Int. J. Fatigue, vol. 141, no. 105857, pp. 1–10, 2020, https://doi.org/10.1016/j.ijfatigue.2020.105857.Search in Google Scholar
[30] B. Trobentar, S. Glodež, and B. Zafošnik, “Gear tooth deflection of spur polymer gears,” in 2014 International Gear Conference, Lyon, France, Chandos Publishing, 2014, pp. 129–137.10.1533/9781782421955.129Search in Google Scholar
[31] F. Zhu, X. Gu, P. Bai, and D. Lei, “Application of 3D digital image correlation for the measurement of the tensile mechanical properties of high-strength steel,” Mater. Test., vol. 63, no. 4, pp. 303–310, 2021, https://doi.org/10.1515/mt-2020-0044.Search in Google Scholar
[32] H. Cetinel and B. Yilmaz, “Stress analyses of pump gears produced by powder metallurgy,” Mater. Test., vol. 55, no. 5, pp. 369–373, 2013, https://doi.org/10.3139/120.110444.Search in Google Scholar
[33] A. S. Sener, “Fatigue life evaluation of an electrically driven shuttle frame using finite element analysis,” Mater. Test., vol. 63, no. 4, pp. 329–335, 2021, https://doi.org/10.1515/mt-2020-0048.Search in Google Scholar
[34] N. Geren, C. Uzay, and M. Bayramoglu, “Introducing gear ratings and AGMA conversion factors for the steel spur gear design under bending fatigue,” Mater. Test., vol. 59, nos 11–12, pp. 1043–1053, 2017, https://doi.org/10.3139/120.111105.Search in Google Scholar
© 2022 Walter de Gruyter GmbH, Berlin/Boston
Articles in the same Issue
- Frontmatter
- Effect of deep cryogenic treatment on microstructure and mechanical properties of a CoCrFeNiMo medium-entropy alloy
- Bilayer growth kinetics and tribological characterization of boronized AISI M2 steel
- Effect of graphene nanoplatelets on mechanical and impact properties of an aramid/glass-reinforced epoxy composite
- The effect of SiC content on microstructural and tribological properties of sintered B4C and SiC reinforced Al–Cu–Mg–Si matrix hybrid composites
- Effects of asymmetric tooth profile on single-tooth stiffness of polymer gears
- Hunger games search algorithm for global optimization of engineering design problems
- Alumina catalyst waste utilization for aluminum-based composites using the friction stir process
- Comparison of microstructure and wear behaviors of PTA coated AISI 304 with alumina, boron and ekaboron III powder
- Influence of testers on the ISE effect
- Crashworthiness design of heat treated vehicle parts with tailored properties
- Shape coefficient of impact-echo for small-size short cylinder/circular tube structures
- Resistance spot welding of Al6061 lap joints with a polyvinyl alcohol-bonded graphene interlayer
- Effect of reinforcement particle amounts on dry sliding wear behavior of shot-peened SiC/A356 composites
- Prediction and optimization of thrust force during the drilling of AISI 2080 steel
Articles in the same Issue
- Frontmatter
- Effect of deep cryogenic treatment on microstructure and mechanical properties of a CoCrFeNiMo medium-entropy alloy
- Bilayer growth kinetics and tribological characterization of boronized AISI M2 steel
- Effect of graphene nanoplatelets on mechanical and impact properties of an aramid/glass-reinforced epoxy composite
- The effect of SiC content on microstructural and tribological properties of sintered B4C and SiC reinforced Al–Cu–Mg–Si matrix hybrid composites
- Effects of asymmetric tooth profile on single-tooth stiffness of polymer gears
- Hunger games search algorithm for global optimization of engineering design problems
- Alumina catalyst waste utilization for aluminum-based composites using the friction stir process
- Comparison of microstructure and wear behaviors of PTA coated AISI 304 with alumina, boron and ekaboron III powder
- Influence of testers on the ISE effect
- Crashworthiness design of heat treated vehicle parts with tailored properties
- Shape coefficient of impact-echo for small-size short cylinder/circular tube structures
- Resistance spot welding of Al6061 lap joints with a polyvinyl alcohol-bonded graphene interlayer
- Effect of reinforcement particle amounts on dry sliding wear behavior of shot-peened SiC/A356 composites
- Prediction and optimization of thrust force during the drilling of AISI 2080 steel