Investigation of the Effects of Design Parameters on Tooth Profile Formation and Operating Performance in Cycloidal Reducers

Öz

Cycloidal reducers have a unique and complex tooth profile design compared to conventional gear systems. Unlike standardized gear profiles, cycloidal reducers provide significant flexibility in design parameters such as module, profile modification coefficient, and eccentricity. However, these parameters interact in a complex manner, affecting both tooth profile formation and the overall performance of the reducer. Inaccuracies in selecting parameters may lead to problems such as excessive contact stress, gear deformation or reduced load transfer efficiency. This study aims to investigate the effects of design parameters on the formation of cycloidal tooth profiles and the operating performance of reducers. By analyzing the relationships and interactions between these parameters, the research provides a deeper understanding that will improve design processes, enhance performance, and contribute to future standardization efforts. As a result, this study aims to contribute to the development of cycloidal reducers that are structurally robust, efficient and suitable for high-performance operation.

Anahtar Kelimeler

• Cycloidal reducer
• design parameters
• cycloidal profile
• efficiency
• operating performance.

Sikloid Redüktörlerde Tasarım Parametrelerinin Diş Profili Oluşumu ve Çalışma Performansı Üzerindeki Etkilerinin İncelenmesi

Öz

Sikloid redüktörler, geleneksel dişli sistemlerine kıyasla benzersiz ve karmaşık bir diş profili tasarımına sahiptir. Standartlaştırılmış diş profillerinin aksine, sikloid redüktörler modül, profil modifikasyon katsayısı ve eksantriklik gibi tasarım parametrelerinde önemli bir esneklik sunar. Ancak, bu parametreler karmaşık bir şekilde etkileşime girerek hem diş profili oluşumunu hem de redüktörün genel performansını etkiler. Yanlış parametre seçimi, aşırı temas gerilmesi, dişli deformasyonu veya azalmış yük aktarım verimliliği gibi sorunlara yol açabilir. Bu çalışma, tasarım parametrelerinin sikloid diş profillerinin oluşumu ve redüktörlerin çalışma performansı üzerindeki etkilerini incelemeyi amaçlamaktadır. Bu parametreler arasındaki ilişkiler ve etkileşimler analiz edilerek, tasarım süreçlerini iyileştirecek, performansı artıracak ve gelecekteki standardizasyon çabalarına katkıda bulunacak daha derin bir anlayış sunulmaktadır. Sonuç olarak, bu çalışma, yapısal olarak sağlam, verimli ve yüksek performanslı çalışmaya uygun sikloid redüktörler geliştirilmesinde katkı sağlamayı hedeflemektedir.

Anahtar Kelimeler

• Sikloid redüktör
• tasarım parametreleri
• sikloid profil
• verimlilik
• çalışma performansı.

Kaynakça

1. Alipiev, O. (1988a). Geometry and forming epi-hypo-cycloidal toothed wheels in modified cyclo transmission (Part 1), (PhD Thesis), University of Ruse, Institute of Science and Technology, Bulgaria.
2. Alipiev, O. (1988b). Geometry and forming epi-hypo-cycloidal toothed wheels in modified cyclo transmission (Part 2), (PhD Thesis), University of Ruse, Institute of Science and Technology, Bulgaria.
3. Gao, S., Zhang, Y., Ji, S., Li, Y., & Li, W. (2024). Multi-objective optimized design for modified cycloid-pin gear drive mechanism based on load-bearing capacity. Journal of Advanced Mechanical Design, Systems and Manufacturing, 18(2), 1–20. https://doi.org/10.1299/jamdsm.2024jamdsm0015
4. Hu, Y., Li, G., Zhu, W., & Cui, J. (2020). An elastic transmission error compensation method for rotary vector speed reducers based on error sensitivity analysis. Applied Sciences (Switzerland), 10(2). https://doi.org/10.3390/app10020481
5. Huang, J., Li, C., & Chen, B. (2020). Optimization design of RV reducer crankshaft bearing. Applied Sciences, 10(18). https://doi.org/10.3390/app10186520
6. Korkmaz, F. (2024). Sikloid Redüktörlerin Analizi ve Sezgisel Algoritmalar Kullanılarak Ağırlık Optimizasyonu, Doktora Tezi, Sakarya Uygulamalı Bilimler Üniversitesi, Lisansüstü Eğitim Enstitüsü, Sakarya.
7. Korkmaz, F., Dereli, S., Karayel, D. ve Kolip, A. (2024). The Use of Heuristic Optimization Techniques on RV Cycloid Reducer Design: A Comparative Study. Strojniški vestnik - Journal of Mechanical Engineering, 70(7-8), 392-402. doi:http://dx.doi.org/10.5545/sv-jme.2024.921
8. Li, T., An, X., Deng, X., Li, J., & Li, Y. (2020). A new tooth profile modification method of cycloidal gears in precision reducers for robots. Applied Sciences, 10(4), 1266-1282. https://doi.org/10.3390/app10041266

9. Li, T., Tian, M., Xu, H., Deng, X., An, X., & Su, J. (2020). Meshing contact analysis of cycloidal-pin gear in RV reducer considering the influence of manufacturing error. Journal of the Brazilian Society of Mechanical Sciences and Engineering, 42(3), 1–14. https://doi.org/10.1007/s40430-020-2208-7
10. Li, X., Tang, L., He, H., & Sun, L. (2022). Design and Load Distribution Analysis of the Mismatched Cycloid-Pin Gear Pair in RV Speed Reducers. Machines, 10(8). https://doi.org/10.3390/machines10080672
11. Lin, W. S., Shih, Y. P., & Lee, J. J. (2014). Design of a two-stage cycloidal gear reducer with tooth modifications. Mechanism and Machine Theory, 79, 184–197. https://doi.org/10.1016/j.mechmachtheory.2014.04.009
12. Qiu, Z., & Xue, J. (2021). Review of performance testing of high precision reducers for industrial robots. Measurement: Journal of the International Measurement Confederation, 183, 1-24. https://doi.org/10.1016/j.measurement.2021.109794
13. Ren, Z. Y., Mao, S. M., Guo, W. C., & Guo, Z. (2017). Tooth modification and dynamic performance of the cycloidal drive. Mechanical Systems and Signal Processing, 85(June 2016), 857–866. https://doi.org/10.1016/j.ymssp.2016.09.029
14. Tsai, S. J., Chang, L. C., & Huang, C. H. (2017). Design of cycloid planetary gear drives with tooth number difference of two: A comparative study on contact characteristics and load analysis. Forschung Im Ingenieurwesen/Engineering Research, 81(2–3), 325–336. https://doi.org/10.1007/s10010-017-0244-y
15. Uzun, S. L. (2019). Profil Düzeltme Faktörünün Sikloidal Dişlerde Meydana Gelen Kuvvetler Üzerindeki Etkisinin Sonlu Elemanlar Yöntemi Analizleri ile İncelenmesi (Yüksek Lisans Tezi), İstanbul Teknik Üniversitesi, Fen Bilimleri Enstitüsü, İstanbul.
16. Xu, L. X., Chen, B. K., & Li, C. Y. (2019). Dynamic modelling and contact analysis of bearing-cycloid-pinwheel transmission mechanisms used in joint rotate vector reducers. Mechanism and Machine Theory, 137, 432–458. https://doi.org/10.1016/j.mechmachtheory.2019.03.035
17. Yan, H. Sen, & Lai, T. S. (2002). Geometry design of an elementary planetary gear train with cylindrical tooth-profiles. Mechanism and Machine Theory, 37(8), 757–767. https://doi.org/10.1016/S0094-114X(02)00009-5