Journals / International Journal of New Findings in Engineering, Science and Technology / 2026 / Cilt: 4 Sayı: 1

Analytical Sizing and Modal Analysis Verification of Circular Saw Shafts

Dairesel Testere Millerinin Analitik Boyutlandırılması ve Modal Analiz Doğrulaması

Barış Yaprakdal(Özçelik Makina San. ve Tic. A.Ş.)0009-0008-0008-9144
Abdulsamed Bayraktar(Özçelik Makina San. ve Tic. A.Ş)0009-0009-4779-7209
Eser Bayrak(Özçelik Makina San. ve Tic. A.Ş)0009-0008-0329-5138
Ramazan Karagöz(Özçelik Makina San. ve Tic. A.Ş)0009-0005-9108-5269
Bora Demirci(TEKYAZ Teknolojik Yazılımlar ve Makina Tic. A.Ş)0000-0001-9851-2829
Pages
34–42
Publication Date
2026-03-26
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AI Summary & Key Takeaways

AI Insight
⚡ TL;DR(Too Long; Didn't Read)

Consequently, the study demonstrates that in designing a safe saw shaft, geometric sizing alone is not sufficient; material properties must be evaluated together with static, fatigue, and dynamic behavior in an integrated manner.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:In circular saw machines used for cutting aluminum and PVC profiles, saw shafts are subjected to structural damage due to torsional moments, fatigue effects, and possible resonance.
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Key Findings & Data:During the design process, the mechanical properties of AISI 1040, 1050, 4140, and 4340 steels were compared.
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Conclusion & Impact:Consequently, the study demonstrates that in designing a safe saw shaft, geometric sizing alone is not sufficient; material properties must be evaluated together with static, fatigue, and dynamic behavior in an integrated manner.
🔬Design:Araştırma Makalesi
📍Scope:Comprehensive Sample
⚙️Variables:Mil Tasarımı · Titreşim Analizi · Tasarım Parametreleri

Abstract

In circular saw machines used for cutting aluminum and PVC profiles, saw shafts are subjected to structural damage due to torsional moments, fatigue effects, and possible resonance. This study aims to determine appropriate material selection and perform analytical sizing for a safe, durable, and efficient shaft design under specified boundary conditions. During the design process, the mechanical properties of AISI 1040, 1050, 4140, and 4340 steels were compared. While analytical methods were used in the shaft diameter calculations, modal analysis was conducted using the “Half-power bandwidth” method to evaluate the dynamic behavior of the system and the risk of resonance. Analytical calculations revealed that the minimum safe shaft diameter for AISI 4340 steel, which has the highest strength among the evaluated materials, is 11.7 mm. As a result of the static analysis, the maximum shear stress occurring on the shaft was determined to be 4.2 MPa. Frequency analysis results confirmed that the system’s operating frequency of 50 Hz remains outside the critical resonance band.It was determined that the obtained minimum shaft diameter values are compatible with the existing shaft dimensions and meet safe design criteria. Consequently, the study demonstrates that in designing a safe saw shaft, geometric sizing alone is not sufficient; material properties must be evaluated together with static, fatigue, and dynamic behavior in an integrated manner.

Özet

Alüminyum ve PVC profil kesiminde kullanılan dairesel testereli makinelerde, testere milleri burulma momenti, yorulma etkileri ve olası rezonans nedeniyle yapısal hasarlara maruz kalmaktadır. Bu çalışma, belirlenen sınır koşulları altında güvenli, dayanıklı ve verimli bir mil tasarımı için uygun malzeme seçimini ve analitik boyutlandırmayı amaçlamaktadır. Tasarım sürecinde AISI 1040, 1050, 4140 ve 4340 çeliklerinin mekanik özellikleri karşılaştırılmıştır. Mil çapı hesaplamalarında analitik yöntemler kullanılırken, sistemin dinamik davranışını ve rezonans riskini değerlendirmek için "Half-power bandwidth" yöntemi ile modal analiz uygulanmıştır. Analitik hesaplamalar, en yüksek mukavemetli malzeme olan AISI 4340 çeliği için minimum emniyetli mil çapının 11,7 mm olduğunu ortaya koymuştur. Statik analiz sonucunda mil üzerinde oluşan maksimum kayma gerilmesi 4,2 MPa olarak belirlenmiştir. Frekans analizi sonuçları, sistemin 50 Hz olan çalışma frekansının kritik rezonans bandının dışında kaldığını doğrulamıştır. Elde edilen minimum mil çapı değerlerinin mevcut mil ölçüsü ile uyumlu olduğu ve güvenli tasarım kriterlerini sağladığı tespit edilmiştir. Sonuç olarak, güvenli bir testere mili tasarımında yalnızca geometrik boyutlandırmanın yeterli olmadığı; malzeme özellikleri ile birlikte statik, yorulma ve dinamik davranışın bütüncül olarak değerlendirilmesi gerektiği ortaya konmuştur.

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Cite This Article

Yaprakdal, B., Bayraktar, A., Bayrak, E., Karagöz, R., Demirci, B. (2026). Analytical Sizing and Modal Analysis Verification of Circular Saw Shafts. International Journal of New Findings in Engineering, Science and Technology, Cilt: 4 Sayı: 1, 34–42. https://doi.org/10.61150/ijonfest.2026040104

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References (36)

  1. Krilek, J., Melicherčík, J., Kuvik, T., Kováč, J., Gendek, A., Aniszewska, M., Mareček, J., 2023. Analysis of cutting forces in cross-sawing of wood: A study of sintered carbide and high-speed steel blades. Forests, 14, 1395.
  2. Nouari, M., Ben Amor, R., Özel, T., 2020. Chip formation and cutting forces in hard turning of AISI 52100 bearing steel. The International Journal of Advanced Manufacturing, 105, 123-134.
  3. Mendes, A.S., Meirelles, P.S., Zampieri, D.E., 2008. Analysis of torsional vibration in internal combustion engines: Modelling and experimental validation. Proceedings of the Institution of Mechanical Engineers, Part K: Journal of Multi Body Dynamics, 222, 155-178.
  4. Song, M.-H., Pham, X.D., Vuong, Q.D., 2020. Torsional vibration stress and fatigue strength analysis of marine propulsion shafting system based on engine operation patterns. Journal of Marine Science and Engineering, 8, 613.
  5. Budynas, R.G., Nisbett, J.K. Shigley’s Mechanical Engineering Design. 10th ed. New York: McGraw-Hill Education; 2014.
  6. Gökşenli, A., Eryürek, I.B., 2009. Failure analysis of an elevator drive shaft. Engineering Failure Analysis, 16(4), 1011–1019.
  7. Jordaan, J.P., 2025. Case study: Evaluation of stress concentration factors in shaft keyways through FE analysis. R&D Journal, 41, 1-8.
  8. Papasidero, J., Doquet, V., Mohr, D., 2013. Determination of the effect of stress state on the onset of ductile fracture through tension‑torsion experiments. Experimental Mechanics, 54, 137–151.
  9. Gere, J.M., Timoshenko, S.P. Mechanics of Materials. 4th ed. Boston: PWS Publishing Company; 1997.
  10. Pallarés-Santasmartas, L., Albizuri, J., Avilés, A., Saintier, N., Merzeau, J., 2018. Influence of mean shear stress on the torsional fatigue behaviour of 34CrNiMo6 steel. International Journal of Fatigue, 113, 54-68.
  11. Abendroth, M., Kuna, M., 2003. Determination of deformation and failure properties of ductile materials by means of the small punch test and neural networks. Computational Materials Science, 28(3-4), 633-644
  12. Cen, C.-X., Lu, D.-M., Qin, D.-W., Zhang, K.-S., 2021. Torsional fatigue life prediction of 30CrMnSiNi2A based on meso-inhomogeneous deformation. Materials, 14(8), 1846.
  13. Yoshimura, S., Wada, K., Park, S., Matsunaga, H., 2025. Factors determining the torsional fatigue strength in bainitic steels with banded microstructures. International Journal of Fatigue, 192, 108714.
  14. Meng, D., Zhang, C., Yang, F., Duan, F., 2025. Fatigue life analysis of titanium torsion spring based on continuous damage mechanics. Materials, 18, 221.
  15. Schönbauer, B.M., Yanase, K., Chehrehrazi, M., Endo, M., Mayer, H., 2021. Effect of microstructure and cycling frequency on the torsional fatigue properties of 17-4PH stainless steel. Materials Science and Engineering: A, 801, 140481.
  16. Kubojima, Y., Sonoda, S., Kato, H., Harada, M., 2020. Effect of shear and rotatory inertia on the bending vibration method without weighing specimens. Journal of Wood Science, 66, 51.
  17. Fuerst, A., Sprysl, H., 2000. Determination of polar moment of inertia and stress concentration of shafts under torsion load with arbitrary cross section. Mechanics of Structures and Machines, 8, 109–116.
  18. Beer, F.P., Johnston, E.R., DeWolf, J.T., Mazurek, D.F. Mechanics of Materials. 7th ed. McGraw-Hill Education; 2012.
  19. Zorman, A., Slavič, J., Boltežar, M., 2023. Vibration fatigue by spectral methods—A review with open-source support. Mechanical Systems and Signal Processing, 190, 110149.
  20. Bennebach, M., Rognon, H., Bardou, O., 2013. Fatigue of structures in mechanical vibratory environment: From mission profiling to fatigue life prediction. Procedia Engineering, 66, 508–521.
  21. Moczko, P., Olejnik, M., Pietrusiak, D., Więckowski, J., 2025. Vibration induced fatigue of mining and material handling mega machines. Engineering Failure Analysis, 180, 109529.
  22. Vinokur, R., 2023. Loss factors and their effect on resonance peaks in mechanical systems. Sound & Vibration, 57, 1–13.
  23. Fiebig, W., Wróbel, J., 2020. Energy accumulation in mechanical resonance and its use in drive systems of impact machines. Archives of Civil and Mechanical Engineering, 20, 30.
  24. Yang, L., Li, S., Hou, J., 2025. A comprehensive review of flow‑induced vibration and fatigue failure in the moving components of control valves. Machines, 13, 766.
  25. Laine, S., Haikonen, S., Tiainen, T., Viitala, R., 2024. Rotor resonance avoidance by continuous adjustment of support stiffness. International Journal of Mechanical Sciences, 270, 109092.
  26. Mohammed, O.D., 2025. Mass variation techniques for damping the resonance effect. Journal of Vibration Engineering & Technologies, 13, 472.
  27. Wang, J., Xu, C., Xu, Y., Wang, J., Zhou, W., Wang, Q., Tang, H., 2021. Resonance analysis and vibration reduction optimization of agricultural machinery frame — taking vegetable precision seeder as an example. Processes, 9, 1979.
  28. Norton, R.L. Machine Design: An Integrated Approach. 4th ed. Prentice Hall; 2011
  29. Rasheed, W.A., Alsaegh, A.S., Zainy, H.Z., Al-Ansari, L.S., Alshukri, M.J., 2025. Investigation of the elastic torsion problem of circular hollow shafts using the boundary element method. Discover Materials, 5, 192.
  30. Danesh‑Yazdi, A. H., Kawano, D. T., 2025. A model‑based generalization of the bandwidth method for damping estimation. Archive of Applied Mechanics, 95, 207.
  31. Wu, B., Liu, W., Wu, X., 2018. A damping estimation method based on power ratio. Archive of Applied Mechanics, 88, 1919–1927
  32. Treszkai, M. F., Vehovszky, B., Feszty, D., 2021. Damping determination by the half power bandwidth method for a rectangular flat plate with bitumen damping layer application. Journal of Vibroengineering, 23, 1267–1277.
  33. Blevins R. D. Formulas for Natural Frequency and Mode Shape. Krieger Publishing Company; 2001.
  34. Chopra A. K. Dynamics of Structures: Theory and Applications to Earthquake Engineering. 4th ed. Prentice Hall; 2011.
  35. Rao S. S. Mechanical Vibrations. 5th ed. Prentice Hall; 2010.
  36. Beards C. F. Structural Vibration: Analysis and Damping. Butterworth-Heinemann; 1996.