Araştırma Makalesi
Yıl 2024,
Cilt: 39 Sayı: 4, 2601 - 2616, 20.05.2024
Öz
Destekleyen Kurum
N/A
Proje Numarası
N/A
Kaynakça
- 1. Conry T.F., Seireg A., Mathematical programming technique for evaluation of load distribution and optimal modification for gear systems, Journal of Engineering for Industry, 95 (4), 1115–1122, 1973.
- 2. Eritenel T., Parker R.G., An investigation of tooth mesh nonlinearity and partial contact loss in gear pairs using a lumped-parameter model, Mech. Mach. Theory, 56, 28–51, 2012.
- 3. Wink C.H., Serpa A.L., Performance assessment of solution methods for load distribution problem of gear teeth, Mech. Mach. Theory, 43 (1), 80–94, 2008.
- 4. Zhang Y., Fang Z., Analysis of transmission errors under load of helical gears with modified tooth surfaces, J. Mech. Des. Trans. ASME, 119 (1), 120–126, 1997.
- 5. Zhang J.J., Esat I.I., Shi, Y.H., Load analysis with varying mesh stiffness, Comput. Struct. 70 (3), 273–280, 1999.
- 6. Zhou C., Chen C., Gui L., Fan Z., A nonlinear multi-point meshing model of spur gears for determining the face load factor, Mech. Mach. Theory, 126, 210–224, 2018.
- 7. Yuan B., Chang S., Liu G., Chang L., Liu L., Quasi-static analysis based on generalized loaded static transmission error and dynamic investigation of wide-faced cylindrical geared rotor systems, Mech. Mach. Theory, 134, 74–94, 2019.
- 8. Peng Y., Zhao N., Qiu P., Zhang M., Li W., Zhou, R., An efficient model of load distribution for helical gears with modification and misalignment, Mech. Mach. Theory, 121, 151–168, 2018.
- 9. Yuan B., Liu G., Yue Y., Liu L., Shen Y., A novel tooth surface modification methodology for wide-faced double-helical gear pairs, Mech. Mach. Theory, 160, 74-94, 2021.
- 10. Dai X., Cooley C.G., Parker R.G., An Efficient Hybrid Analytical-Computational Method for Nonlinear Vibration of Spur Gear Pairs, J. Vib. Acoust. Trans. ASME, 141 (1), 2019.
- 11. Yuan B., Chang L., Liu G., Chang S., Liu L., Shen Y., An efficient three-dimensional dynamic contact model for cylindrical gear pairs with distributed tooth flank errors, Mech. Mach. Theory, 152, 103930 2020.
- 12. Wang Q., Xu K., Huai T., Ma H., Wang K., A mesh stiffness method using slice coupling for spur gear pairs with misalignment and lead crown relief, Applied Mathematical Modelling, 90, 845-861, 2021.
- 13. Han, G., Yuan, B., Qiao, G., Tooth surface modification for helical gear pairs considering mesh misalignment tolerance, 2021, 2021.
- 14. Wang Q., Ma H., Kong X., Zhang Y., A distributed dynamic mesh model of a helical gear pair with tooth profile errors, Journal of Central South University, 25 (2), 287–303, 2018.
- 15. Ma H., Yang J., Song R., Zhang S., Wen B., Effects of tip relief on vibration responses of a geared rotor system, Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science, 228 (7), 1132–1154, 2014.
- 16. Kahraman A., Sing R., Interactions between time-varying mesh stiffness and clearance non-linearities in a geared system, J. Sound Vib., 146 (1), 135-156, 1991.
- 17. Kim W., Yoo H.H., Chung, J., Dynamic analysis for a pair of spur gears with translational motion due to bearing deformation, J. Sound Vib., 329 (21), 4409–4421, 2010.
- 18. Sun Y., Ma H., Huangfu Y., Chen K., Che L.Y., Wen, B., A revised time-varying mesh stiffness model of spur gear pairs with tooth modifications, Mech. Mach. Theory, 129, 261–278, 2018.
- 19. Liu H., Zhang C., Xiang C.L., Wang C., Tooth profile modification based on lateral- torsional-rocking coupled nonlinear dynamic model of gear system, Mech. Mach. Theory, 105, 606–619, 2016.
- 20. Kahraman A., Blankenship G.W., Effect of involute tip relief on dynamic response of spur gear pairs, J. Mech. Des. Trans. ASME, 121 (2), 313–315, 1999.
- 21. Kang M.R., Kahraman A., Measurement of vibratory motions of gears supported by compliant shafts, Mech. Syst. Signal Process., 29, 391–403, 1999.
- 22. Hotait M.A., Kahraman A., Experiments on the relationship between the dynamic transmission error and the dynamic stress factor of spur gear pairs, Mech. Mach. Theory, 70, 116–128, 2013.
- 23. Tang X., Zou L., Yang W., Huang Y., Wang H., Novel mathematical modelling methods of comprehensive mesh stiffness for spur and helical gears, Applied Mathematical Modelling, 72, 524–540, 2018.
- 24. Xie S., Du Q., Hu Y., Nonlinear dynamic modeling and analysis of spur gears considering dynamic contact state under misalignment errors, International Journal of Non-Linear Mechanics, 152, 104401, 2023.
- 25. Bonori G., Pellicano F., Non-smooth dynamics of spur gears with manufacturing errors, J. Sound Vib., 306 (1–2), 271–283, 2007.
- 26. Ghosh S.S., Chakraborty G., On optimal tooth profile modification for reduction of vibration and noise in spur gear pairs, Mech. Mach. Theory, 105, 2016.
- 27. Doğan O., Yılmaz T.G., Karpat F., Stress analysis of involute spur gears with different parameters by finite element and graphical method, Journal of the Faculty of Engineering and Architecture of Gazi University, 33 (4), 1493-1504, 2018.
- 28. Petersen, D.: Auswirkung der Lastverteilung auf die Zahnfusstragfähigkeit von hochüberdeckenden Stirnradpaarungen, Fakultät Maschinenbau TU Braunschweig, 1989.
- 29. Standard AGMA 908-B89, American Gear Manufacturer Association, 2020.
- 30. Borner J., Kurz N., Joachim F., Effective Analysis of Gears with the Program LVR, International conference, Gears Conference Paper, VDI report of 1665, 721-736, 2002.
- 31. Al-Shyyab A., Kahraman A., Non-linear dynamic analysis of a multi-mesh gear train using multi-term harmonic balance method: Sub-harmonic motions, J. Sound Vib., 279 (1–2), 417–451, 2005.
- 32. Blankenship G.W., Kahraman A., Steady state forced response of a mechanical oscillator with combined parametric excitation and clearance type non-linearity, J. Sound Vib., 185 (5), 743–765, 1995.
- 33. Civan S.E., Demir C., Load Distribution and Dynamic Response in Torque Split Applications, Machines, 10 (12), 1218, 2022.
Bir dişli çiftinde kapsamlı bir yük dağıtım algoritması oluşturulması ve dinamik tepki üzerindeki etkisi
Öz
Yük dağılımı, sistem elemanlarının deformasyonları nedeniyle alın genişliği boyunca temas sürekliliğinin bozulmasından etkilenir. Bu çalışmada, sistem deformasyon bileşenleri ile diş yükü dağılımı sürekliliğini göstermek için bir düz dişli çifti için birleştirilmiş bir yığın parametre modeli incelenmiştir. Yüklü bir diş teması analizi, yinelemeli ilerlemede analitik olarak verilmiştir. Yük dağılımı üzerindeki etkileri belirlemek için şaft bükülmesi, dişli gövdesinin burulma deformasyonu ve eşleşen yüzeyler arasındaki profil boşluğu araştırılmıştır. Dinamik iletim hatası üzerindeki temas kaybı etkilerini görmek için Lagrange yöntemi kullanılarak bir çift düz dişlinin doğrusal olmayan zamana bağlı dinamik modeli oluşturulmuştur. Eşdeğer dişli çifti rijitliği elde etmek için dilimler arasındaki kaplin rijitliğini de dikkate alan yığın bir parametre modeli kullanılmıştır. Burulma deformasyonunu ve dişli profili boşluğunu tam analitik yaklaşımla dikkate alan doğrusal olmayan model, mevcut literatürden farklı olarak temas halindeki parabolik yük dağılımını dikkate alacak şekilde önerilmiştir. Şaft eğilme deformasyonu simetrik ve asimetrik dişli konumlandırmada incelenmiştir. Sistemin tepkisi, kısmi temas kaybı ile azalan dişli çifti rijitliğinden olumsuz etkilenmektedir. Sonuçlar, sonlu elemanlar analizi sonuçları ve literatürden deneysel test sonuçları ile doğrulanmıştır.
Anahtar Kelimeler
Düz dişli çifti Yük dağılımı Diş yüzeyi modifikasyonu Doğrusal olmayan dişli dinamiği Dişli sistemi deformasyonu
Proje Numarası
N/A
Kaynakça
- 1. Conry T.F., Seireg A., Mathematical programming technique for evaluation of load distribution and optimal modification for gear systems, Journal of Engineering for Industry, 95 (4), 1115–1122, 1973.
- 2. Eritenel T., Parker R.G., An investigation of tooth mesh nonlinearity and partial contact loss in gear pairs using a lumped-parameter model, Mech. Mach. Theory, 56, 28–51, 2012.
- 3. Wink C.H., Serpa A.L., Performance assessment of solution methods for load distribution problem of gear teeth, Mech. Mach. Theory, 43 (1), 80–94, 2008.
- 4. Zhang Y., Fang Z., Analysis of transmission errors under load of helical gears with modified tooth surfaces, J. Mech. Des. Trans. ASME, 119 (1), 120–126, 1997.
- 5. Zhang J.J., Esat I.I., Shi, Y.H., Load analysis with varying mesh stiffness, Comput. Struct. 70 (3), 273–280, 1999.
- 6. Zhou C., Chen C., Gui L., Fan Z., A nonlinear multi-point meshing model of spur gears for determining the face load factor, Mech. Mach. Theory, 126, 210–224, 2018.
- 7. Yuan B., Chang S., Liu G., Chang L., Liu L., Quasi-static analysis based on generalized loaded static transmission error and dynamic investigation of wide-faced cylindrical geared rotor systems, Mech. Mach. Theory, 134, 74–94, 2019.
- 8. Peng Y., Zhao N., Qiu P., Zhang M., Li W., Zhou, R., An efficient model of load distribution for helical gears with modification and misalignment, Mech. Mach. Theory, 121, 151–168, 2018.
- 9. Yuan B., Liu G., Yue Y., Liu L., Shen Y., A novel tooth surface modification methodology for wide-faced double-helical gear pairs, Mech. Mach. Theory, 160, 74-94, 2021.
- 10. Dai X., Cooley C.G., Parker R.G., An Efficient Hybrid Analytical-Computational Method for Nonlinear Vibration of Spur Gear Pairs, J. Vib. Acoust. Trans. ASME, 141 (1), 2019.
- 11. Yuan B., Chang L., Liu G., Chang S., Liu L., Shen Y., An efficient three-dimensional dynamic contact model for cylindrical gear pairs with distributed tooth flank errors, Mech. Mach. Theory, 152, 103930 2020.
- 12. Wang Q., Xu K., Huai T., Ma H., Wang K., A mesh stiffness method using slice coupling for spur gear pairs with misalignment and lead crown relief, Applied Mathematical Modelling, 90, 845-861, 2021.
- 13. Han, G., Yuan, B., Qiao, G., Tooth surface modification for helical gear pairs considering mesh misalignment tolerance, 2021, 2021.
- 14. Wang Q., Ma H., Kong X., Zhang Y., A distributed dynamic mesh model of a helical gear pair with tooth profile errors, Journal of Central South University, 25 (2), 287–303, 2018.
- 15. Ma H., Yang J., Song R., Zhang S., Wen B., Effects of tip relief on vibration responses of a geared rotor system, Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science, 228 (7), 1132–1154, 2014.
- 16. Kahraman A., Sing R., Interactions between time-varying mesh stiffness and clearance non-linearities in a geared system, J. Sound Vib., 146 (1), 135-156, 1991.
- 17. Kim W., Yoo H.H., Chung, J., Dynamic analysis for a pair of spur gears with translational motion due to bearing deformation, J. Sound Vib., 329 (21), 4409–4421, 2010.
- 18. Sun Y., Ma H., Huangfu Y., Chen K., Che L.Y., Wen, B., A revised time-varying mesh stiffness model of spur gear pairs with tooth modifications, Mech. Mach. Theory, 129, 261–278, 2018.
- 19. Liu H., Zhang C., Xiang C.L., Wang C., Tooth profile modification based on lateral- torsional-rocking coupled nonlinear dynamic model of gear system, Mech. Mach. Theory, 105, 606–619, 2016.
- 20. Kahraman A., Blankenship G.W., Effect of involute tip relief on dynamic response of spur gear pairs, J. Mech. Des. Trans. ASME, 121 (2), 313–315, 1999.
- 21. Kang M.R., Kahraman A., Measurement of vibratory motions of gears supported by compliant shafts, Mech. Syst. Signal Process., 29, 391–403, 1999.
- 22. Hotait M.A., Kahraman A., Experiments on the relationship between the dynamic transmission error and the dynamic stress factor of spur gear pairs, Mech. Mach. Theory, 70, 116–128, 2013.
- 23. Tang X., Zou L., Yang W., Huang Y., Wang H., Novel mathematical modelling methods of comprehensive mesh stiffness for spur and helical gears, Applied Mathematical Modelling, 72, 524–540, 2018.
- 24. Xie S., Du Q., Hu Y., Nonlinear dynamic modeling and analysis of spur gears considering dynamic contact state under misalignment errors, International Journal of Non-Linear Mechanics, 152, 104401, 2023.
- 25. Bonori G., Pellicano F., Non-smooth dynamics of spur gears with manufacturing errors, J. Sound Vib., 306 (1–2), 271–283, 2007.
- 26. Ghosh S.S., Chakraborty G., On optimal tooth profile modification for reduction of vibration and noise in spur gear pairs, Mech. Mach. Theory, 105, 2016.
- 27. Doğan O., Yılmaz T.G., Karpat F., Stress analysis of involute spur gears with different parameters by finite element and graphical method, Journal of the Faculty of Engineering and Architecture of Gazi University, 33 (4), 1493-1504, 2018.
- 28. Petersen, D.: Auswirkung der Lastverteilung auf die Zahnfusstragfähigkeit von hochüberdeckenden Stirnradpaarungen, Fakultät Maschinenbau TU Braunschweig, 1989.
- 29. Standard AGMA 908-B89, American Gear Manufacturer Association, 2020.
- 30. Borner J., Kurz N., Joachim F., Effective Analysis of Gears with the Program LVR, International conference, Gears Conference Paper, VDI report of 1665, 721-736, 2002.
- 31. Al-Shyyab A., Kahraman A., Non-linear dynamic analysis of a multi-mesh gear train using multi-term harmonic balance method: Sub-harmonic motions, J. Sound Vib., 279 (1–2), 417–451, 2005.
- 32. Blankenship G.W., Kahraman A., Steady state forced response of a mechanical oscillator with combined parametric excitation and clearance type non-linearity, J. Sound Vib., 185 (5), 743–765, 1995.
- 33. Civan S.E., Demir C., Load Distribution and Dynamic Response in Torque Split Applications, Machines, 10 (12), 1218, 2022.
Toplam 33 adet kaynakça vardır.
Ayrıntılar
| Birincil Dil | Türkçe |
|---|---|
| Konular | Makine Tasarımı ve Makine Elemanları, Makine Teorisi ve Dinamiği |
| Bölüm | Makaleler |
| Yazarlar | |
| Proje Numarası | N/A |
| Erken Görünüm Tarihi | 17 Mayıs 2024 |
| Yayımlanma Tarihi | 20 Mayıs 2024 |
| Gönderilme Tarihi | 22 Ağustos 2023 |
| Kabul Tarihi | 9 Aralık 2023 |
| Yayımlandığı Sayı | Yıl 2024 Cilt: 39 Sayı: 4 |