Bir Eliptik Dişli Hidrolik Pompanın Tasarımı, Modal Analizi, Katmanlı Üretimi ve Akış Performansı
Year 2026,
Volume: 16 Issue: 1, 270 - 282, 01.03.2026
Mehmet Yazar
,
Mithat Yanıkören
,
İbrahim Pazarkaya
Abstract
Bu çalışmada, eliptik ve düz dişli profiline sahip hidrolik pompaların tasarımı, üretimi, modal analizi ve akış performansları deneysel olarak karşılaştırılmıştır. Öncelikle, her iki dişli tipi bilgisayar destekli tasarım (CAD) ortamında modellenmiş ve sonlu elemanlar yöntemi (FEM) kullanılarak doğal frekans ve mod şekilleri incelenmiştir. ABS, PC, PETG ve PLA olmak üzere dört farklı termoplastik malzeme üzerinde yapılan modal analizler sonucunda, yüksek frekans dayanımı ve üretim uygunluğu nedeniyle PLA malzemesi tercih edilmiştir. Seçilen geometri ve malzeme doğrultusunda dişli çiftleri, eklemeli imalat (3D yazıcı) yöntemiyle üretilmiş ve prototip pompaların montajı gerçekleştirilmiştir. Her iki pompa sistemi, 1000 ila 3000 rpm arası farklı devirlerde test edilerek hacimsel debi performansları ölçülmüştür. Deneysel sonuçlara göre, eliptik dişli pompa tüm devirlerde düz dişli pompaya kıyasla daha yüksek ve daha kararlı bir debi sağlamıştır. Deneysel çalışmada en yüksek devir olan 3000 rpm'de eliptik dişli pompa 23,6 L/dk ortalama debi ile çalışırken, düz dişli pompa sadece 4.9 L/dk debi sağlamıştır. Benzer şekilde, deneysel çalışmada en düşük devir olan 1500 rpm'de ise eliptik dişli pompa 8.29 L/dk, düz dişli pompa ise 2,05 L/dk debi üretmiştir. Bu bulgular, eliptik dişli geometrisinin pompa performansını artırmada yaklaşık dört kat etkili olduğunu göstermektedir. Eliptik dişli pompanın kompakt ve yüksek verimli hidrolik sistemler için umut vadeden bir alternatif sunduğunu ortaya koymaktadır.
Project Number
FBA-2022-4049
References
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Byrley, P., George, B. J., Boyes, W. K., & Rogers, K. (2019). Particle emissions from fused deposition modeling 3D printers: Evaluation and meta-analysis. Science of The Total Environment, 655, 395–407. doi:10.1016/j.scitotenv.2018.11.070
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Casoli, P., Vacca, A., & Franzoni, G. (2005). A numerical model for the simulation of external gear pumps. In Proceedings of the JFPS International Symposium on Fluid Power (Vol. 2005, pp. 705–710). The Japan Fluid Power System Society.
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Castilla, R., Gamez-Montero, P. J., Del Campo, D., Raush, G., Garcia-Vilchez, M., & Codina, E. (2015). Three-dimensional numerical simulation of an external gear pump with decompression slot and meshing contact point. Journal of Fluids Engineering, 137(4), 041105.
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Chen, C.-K., & Yang, S.-C. (2000). Geometric modelling for cylindrical and helical gear pumps with circular arc teeth. Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science, 214(4), 599–607.
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Choi, T. H., Kim, M. S., Lee, G. S., Jung, S. Y., Bae, J. H., & Kim, C. (2012). Design of Rotor for Internal Gear Pump Using Cycloid and Circular-Arc Curves. Journal of Mechanical Design, 134(011005). doi:10.1115/1.4004423
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De Agostinis, M., Olmi, G., & Arcidiacono, G. (2021). Mechanical characterization of parts fabricated by additive manufacturing. Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science, 235(10), 1701–1702. doi:10.1177/0954406220948759
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Dooner, D., Yoon, H. D., & Seireg, A. (1998). Kinematic considerations for reducing the circulating power effects in gear-type continuously variable transmissions. Proceedings of the Institution of Mechanical Engineers, Part D: Journal of Automobile Engineering, 212(6), 463–478.
Egorova, O. V., Barbashov, N. N., & Kiselev, R. M. (2022). Evolution History of Non-circular Gears. In International Symposium on History of Machines and Mechanisms (pp. 372–381). Springer.
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Erdemi̇r, F., & Ozkan, M. T. (2019). Plastik parçalarda bir esneyerek kilitlenen bağlantı modelinin modal analizi. Politeknik Dergisi, 22(4), 927–933. https://doi.org/10.2339/politeknik.499235
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Grammatikopoulos, A., Banks, J., & Temarel, P. (2020). Prediction of the vibratory properties of ship models with realistic structural configurations produced using additive manufacturing. Marine Structures, 73, 102801. doi:10.1016/j.marstruc.2020.102801
-
Hsueh, M.-H., Lai, C.-J., Wang, S.-H., Zeng, Y.-S., Hsieh, C.-H., Pan, C.-Y., & Huang, W.-C. (2021). Effect of Printing Parameters on the Thermal and Mechanical Properties of 3D-Printed PLA and PETG, Using Fused Deposition Modeling. Polymers, 13(11), 1758. doi:10.3390/polym13111758
-
Huang, K. J., Chen, C. C., & Chang, Y. Y. (2009). Geometric displacement optimization of external helical gear pumps. Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science, 223(9), 2191–2199.
-
Jiping, Z., Ming, J., & Yimin, L. (2000). Low flow pulse property of helical gear pump. Chinese Journal of Mechanical Engineering, 36(12), 18–20.
-
Kaihong, Z., Yunpeng, L., Congyi, W., & Cheng, L. (2015). Non-circular Gear Modal Analysis Based on ABAQUS. In 2015 8th International Conference on Intelligent Computation Technology and Automation (ICICTA) (pp. 576–579). Nanchang, China: IEEE. doi:10.1109/ICICTA.2015.147
-
Kannan, S., Manapaya, A., & Selvaraj, R. (2023). Frequency and deflection responses of 3D ‐printed carbon fiber reinforced polylactic acid composites: Theoretical and experimental verification. Polymer Composites, 44(7), 4095–4108. doi:10.1002/pc.27382
-
Kapelevich, A. (2000). Geometry and design of involute spur gears with asymmetric teeth. Mechanism and Machine Theory, 35(1), 117–130.
-
Kurbet, R., Doddaswamy, V., Amruth, C. M., Kerur, M. H., & Ghanaraja, S. (2022). Frequency response analysis of spur gear pair using FEA. Materials Today: Proceedings, 52, 2327–2338. doi:10.1016/j.matpr.2021.12.517
-
Litvin, F. L., & Fuentes, A. (2004). Gear geometry and applied theory. Cambridge university press.
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Litvin, F. L., Gonzalez-Perez, I., Fuentes, A., & Hayasaka, K. (2008). Design and investigation of gear drives with non-circular gears applied for speed variation and generation of functions. Computer Methods in Applied Mechanics and Engineering, 197(45–48), 3783–3802.
-
Liu, D., Gu, D., & Liu, Z. (2019). Coupled vibration modeling and dynamic characteristics of noncircular face gear drive system with time-varying instantaneous center excitation. Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science, 233(14), 4947–4959. doi:10.1177/0954406219841085
-
Maraş, S., & Bolat, Ç. (2025). Free Vibration Analysis of 3D-printed ABS, PET-G and PLA Curved Beam: Effects of Opening Angle, Curvature Radius, and Part Thickness. Afyon Kocatepe University Journal of Sciences and Engineering, 25(1), 206–214. doi:10.35414/akufemubid.1519102
-
Mitome, L., & Ishida, K. (1972). Eccentric gearing. Proceedings of the Mechanisms Conference and International Symposium Gearing and Transmissions, 1, 57.
-
Pedersen, N. L. (2010). Improving bending stress in spur gears using asymmetric gears and shape optimization. Mechanism and Machine Theory, 45(11), 1707–1720.
-
Stano, G., & Percoco, G. (2021). Additive manufacturing aimed to soft robots fabrication: A review. Extreme Mechanics Letters, 42, 101079. doi:10.1016/j.eml.2020.101079
-
Vacca, A., & Guidetti, M. (2011). Modelling and experimental validation of external spur gear machines for fluid power applications. Simulation Modelling Practice and Theory, 19(9), 2007–2031.
-
Yavuz, G. A., Kıral, B. G., Katre, S., & Atilla, D. (2021). Effects of topology and material on mechanical properties of structures produced by the additive manufacturing method. Dokuz Eylül Üniversitesi Mühendislik Fakültesi Fen ve Mühendislik Dergisi, 23(69), 755–765.
-
Yazar, M. (2021). Design, Manufacturing and Operational Analysis of Elliptical Gears. International Journal of Precision Engineering and Manufacturing, 22(8), 1441–1451. doi:10.1007/s12541-021-00549-3
-
Yazar, M., & Yanikören, M. (2022). Spur gear design, manufacturing and noise analysis according to rolling method using complex numbers. Gümüşhane Üniversitesi Fen Bilimleri Enstitüsü Dergisi, 12(1), 78–89. doi:10.17714/gumusfenbil.854411
-
Zhao, X., & Vacca, A. (2017). Formulation and optimization of involute spur gear in external gear pump. Mechanism and Machine Theory, 117, 114–132. doi:10.1016/j.mechmachtheory.2017.06.020
-
Zhou, Y., Hao, S., & Hao, M. (2017). A two-dimensional numerical analysis of a circular-arc gear pump operating at high pressures and high speeds. Proceedings of the Institution of Mechanical Engineers, Part E: Journal of Process Mechanical Engineering, 231(3), 432–443.
Design, Modal Analysis, Additive Manufacturing, and Flow Performance of An Elliptical Gear Hydraulic Pump
Year 2026,
Volume: 16 Issue: 1, 270 - 282, 01.03.2026
Mehmet Yazar
,
Mithat Yanıkören
,
İbrahim Pazarkaya
Abstract
In this study, the design, manufacturing, modal analysis and flow performance of hydraulic pumps with elliptical and spur gear profiles are compared experimentally. Firstly, both gear types are modeled in a computer-aided design (CAD) environment and their natural frequencies and mode shapes are analyzed using the finite element method (FEM). As a result of modal analyses performed on four different thermoplastic materials, ABS, PC, PETG and PLA, PLA material is preferred due to its high frequency resistance and production suitability. In line with the selected geometry and material, gear pairs were produced by additive manufacturing (3D printing) method and prototype pumps are assembled. Both pump systems are tested at rotational speeds ranging from 1000 to 3000 rpm to measure volumetric flow performance. Experimental results showed that, at all speeds, the elliptical gear pump delivered a higher and more stable flow rate compared to the spur gear pump. At the highest test speed of 3000 rpm, the elliptical gear pump achieved an average flow rate of 23.6 L/min, whereas the spur gear pump produced only 4.9 L/min. Similarly, at the lowest test speed of 1500 rpm, the elliptical gear pump generated 8.29 L/min, while the spur gear pump delivered 2.05 L/min. These findings indicate that the elliptical gear geometry can improve pump performance by approximately fourfold, offering a compact and highly efficient alternative for hydraulic systems.
Ethical Statement
The article authors declare that there is no conflict of interest between them
Supporting Institution
This work was supported by Çanakkale Onsekiz Mart University The Scientific Research Coordination Unit, Project Number: FBA-2022-4049
Project Number
FBA-2022-4049
Thanks
This work was supported by Çanakkale Onsekiz Mart University The Scientific Research Coordination Unit, Project Number: FBA-2022-4049
References
-
Byrley, P., George, B. J., Boyes, W. K., & Rogers, K. (2019). Particle emissions from fused deposition modeling 3D printers: Evaluation and meta-analysis. Science of The Total Environment, 655, 395–407. doi:10.1016/j.scitotenv.2018.11.070
-
Casoli, P., Vacca, A., & Franzoni, G. (2005). A numerical model for the simulation of external gear pumps. In Proceedings of the JFPS International Symposium on Fluid Power (Vol. 2005, pp. 705–710). The Japan Fluid Power System Society.
-
Castilla, R., Gamez-Montero, P. J., Del Campo, D., Raush, G., Garcia-Vilchez, M., & Codina, E. (2015). Three-dimensional numerical simulation of an external gear pump with decompression slot and meshing contact point. Journal of Fluids Engineering, 137(4), 041105.
-
Chen, C.-K., & Yang, S.-C. (2000). Geometric modelling for cylindrical and helical gear pumps with circular arc teeth. Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science, 214(4), 599–607.
-
Choi, T. H., Kim, M. S., Lee, G. S., Jung, S. Y., Bae, J. H., & Kim, C. (2012). Design of Rotor for Internal Gear Pump Using Cycloid and Circular-Arc Curves. Journal of Mechanical Design, 134(011005). doi:10.1115/1.4004423
-
De Agostinis, M., Olmi, G., & Arcidiacono, G. (2021). Mechanical characterization of parts fabricated by additive manufacturing. Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science, 235(10), 1701–1702. doi:10.1177/0954406220948759
-
Dooner, D., Yoon, H. D., & Seireg, A. (1998). Kinematic considerations for reducing the circulating power effects in gear-type continuously variable transmissions. Proceedings of the Institution of Mechanical Engineers, Part D: Journal of Automobile Engineering, 212(6), 463–478.
Egorova, O. V., Barbashov, N. N., & Kiselev, R. M. (2022). Evolution History of Non-circular Gears. In International Symposium on History of Machines and Mechanisms (pp. 372–381). Springer.
-
Erdemi̇r, F., & Ozkan, M. T. (2019). Plastik parçalarda bir esneyerek kilitlenen bağlantı modelinin modal analizi. Politeknik Dergisi, 22(4), 927–933. https://doi.org/10.2339/politeknik.499235
-
Grammatikopoulos, A., Banks, J., & Temarel, P. (2020). Prediction of the vibratory properties of ship models with realistic structural configurations produced using additive manufacturing. Marine Structures, 73, 102801. doi:10.1016/j.marstruc.2020.102801
-
Hsueh, M.-H., Lai, C.-J., Wang, S.-H., Zeng, Y.-S., Hsieh, C.-H., Pan, C.-Y., & Huang, W.-C. (2021). Effect of Printing Parameters on the Thermal and Mechanical Properties of 3D-Printed PLA and PETG, Using Fused Deposition Modeling. Polymers, 13(11), 1758. doi:10.3390/polym13111758
-
Huang, K. J., Chen, C. C., & Chang, Y. Y. (2009). Geometric displacement optimization of external helical gear pumps. Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science, 223(9), 2191–2199.
-
Jiping, Z., Ming, J., & Yimin, L. (2000). Low flow pulse property of helical gear pump. Chinese Journal of Mechanical Engineering, 36(12), 18–20.
-
Kaihong, Z., Yunpeng, L., Congyi, W., & Cheng, L. (2015). Non-circular Gear Modal Analysis Based on ABAQUS. In 2015 8th International Conference on Intelligent Computation Technology and Automation (ICICTA) (pp. 576–579). Nanchang, China: IEEE. doi:10.1109/ICICTA.2015.147
-
Kannan, S., Manapaya, A., & Selvaraj, R. (2023). Frequency and deflection responses of 3D ‐printed carbon fiber reinforced polylactic acid composites: Theoretical and experimental verification. Polymer Composites, 44(7), 4095–4108. doi:10.1002/pc.27382
-
Kapelevich, A. (2000). Geometry and design of involute spur gears with asymmetric teeth. Mechanism and Machine Theory, 35(1), 117–130.
-
Kurbet, R., Doddaswamy, V., Amruth, C. M., Kerur, M. H., & Ghanaraja, S. (2022). Frequency response analysis of spur gear pair using FEA. Materials Today: Proceedings, 52, 2327–2338. doi:10.1016/j.matpr.2021.12.517
-
Litvin, F. L., & Fuentes, A. (2004). Gear geometry and applied theory. Cambridge university press.
-
Litvin, F. L., Gonzalez-Perez, I., Fuentes, A., & Hayasaka, K. (2008). Design and investigation of gear drives with non-circular gears applied for speed variation and generation of functions. Computer Methods in Applied Mechanics and Engineering, 197(45–48), 3783–3802.
-
Liu, D., Gu, D., & Liu, Z. (2019). Coupled vibration modeling and dynamic characteristics of noncircular face gear drive system with time-varying instantaneous center excitation. Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science, 233(14), 4947–4959. doi:10.1177/0954406219841085
-
Maraş, S., & Bolat, Ç. (2025). Free Vibration Analysis of 3D-printed ABS, PET-G and PLA Curved Beam: Effects of Opening Angle, Curvature Radius, and Part Thickness. Afyon Kocatepe University Journal of Sciences and Engineering, 25(1), 206–214. doi:10.35414/akufemubid.1519102
-
Mitome, L., & Ishida, K. (1972). Eccentric gearing. Proceedings of the Mechanisms Conference and International Symposium Gearing and Transmissions, 1, 57.
-
Pedersen, N. L. (2010). Improving bending stress in spur gears using asymmetric gears and shape optimization. Mechanism and Machine Theory, 45(11), 1707–1720.
-
Stano, G., & Percoco, G. (2021). Additive manufacturing aimed to soft robots fabrication: A review. Extreme Mechanics Letters, 42, 101079. doi:10.1016/j.eml.2020.101079
-
Vacca, A., & Guidetti, M. (2011). Modelling and experimental validation of external spur gear machines for fluid power applications. Simulation Modelling Practice and Theory, 19(9), 2007–2031.
-
Yavuz, G. A., Kıral, B. G., Katre, S., & Atilla, D. (2021). Effects of topology and material on mechanical properties of structures produced by the additive manufacturing method. Dokuz Eylül Üniversitesi Mühendislik Fakültesi Fen ve Mühendislik Dergisi, 23(69), 755–765.
-
Yazar, M. (2021). Design, Manufacturing and Operational Analysis of Elliptical Gears. International Journal of Precision Engineering and Manufacturing, 22(8), 1441–1451. doi:10.1007/s12541-021-00549-3
-
Yazar, M., & Yanikören, M. (2022). Spur gear design, manufacturing and noise analysis according to rolling method using complex numbers. Gümüşhane Üniversitesi Fen Bilimleri Enstitüsü Dergisi, 12(1), 78–89. doi:10.17714/gumusfenbil.854411
-
Zhao, X., & Vacca, A. (2017). Formulation and optimization of involute spur gear in external gear pump. Mechanism and Machine Theory, 117, 114–132. doi:10.1016/j.mechmachtheory.2017.06.020
-
Zhou, Y., Hao, S., & Hao, M. (2017). A two-dimensional numerical analysis of a circular-arc gear pump operating at high pressures and high speeds. Proceedings of the Institution of Mechanical Engineers, Part E: Journal of Process Mechanical Engineering, 231(3), 432–443.