Dış Çap Tornalama Sırasında Takım Tutucu Sistemlerinde Bağlama Koşullarının Temas Davranışı ve Yapısal Kararlılık Üzerindeki Etkilerinin Sayısal Modellenmesi

Öz

Takım sıkma sistemlerinin mekanik kararlılığı, takım tutucu–kalemlik arayüzündeki temas koşulları tarafından belirlenmekte olup bu koşullar doğrudan cıvata kaynaklı ön yükleme kuvvetleri tarafından kontrol edilmektedir. Üniversal torna tezgâhlarında gerçekleştirilen dış tornalama operasyonlarında, bağlama cıvatalarının manuel olarak sıkılması ön yükleme asimetrisine neden olabilir ve bu durum düzgün olmayan temas basıncı dağılımlarına yol açabilir. Bu çalışma, cıvatalı bir takım tutucu sisteminde bağlama koşulları, temas davranışı ve yapısal kararlılık arasındaki ilişkiyi incelemek amacıyla sayısal bir modelleme yaklaşımı sunmaktadır. Cıvata sıkma işlemini ve sonrasında kesme kuvvetlerinin uygulanmasını simüle etmek için ön gerilmeli bir sonlu eleman modeli geliştirilmiş ve temas durumunun değişimi değerlendirilmiştir. Toplam sıkma torkunun, bağlama cıvataları arasındaki tork oranının ve montaj yöneliminin etkileri; hafif, orta ve ağır kesme rejimleri altında sağ yönlü (RH) ve sol yönlü (LH) konfigürasyonlar için incelenmiştir. Yapısal davranışın karakterizasyonu amacıyla statik rijitlik ve ilk üç doğal frekans kullanılmıştır. İstatistiksel olarak anlamlı parametrelerin belirlenmesi için regresyon tabanlı varyans analizi uygulanmış, anlamlı yanıtlar ise Yanıt Yüzeyi Yöntemi (RSM) ile modellenmiştir. Model tahminleri ek sonlu eleman simülasyonları ile doğrulanmıştır. Sonuçlar, ön yükleme kaynaklı temas davranışının sistem tepkisini önemli ölçüde etkilediğini ve özellikle statik rijitlik ile ikinci doğal frekansın bağlama parametrelerine en yüksek duyarlılığı gösterdiğini ortaya koymuştur. Ayrıca, montaj yöneliminin teğetsel kesme kuvvetine bağlı olarak yönsel bir asimetri oluşturduğu ve bunun konfigürasyona bağlı dinamik karakteristiklere yol açtığı belirlenmiştir. Bulgular, takım tutucu davranışının yalnızca sıkma torku büyüklüğüne göre değerlendirilemeyeceğini; ön yükleme dağılımı, temas mekaniği ve montaj konfigürasyonunun birlikte ele alınması gerektiğini göstermektedir.

Anahtar Kelimeler

• Takım tutucu sıkma sistemi
• Cıvatalı bağlantılar
• İşleme kararlılığı
• Sonlu elemanlar analizi
• Yanıt yüzeyi yöntemi
• Temas mekaniği

Destekleyen Kurum

Bu araştırma herhangi bir dış finansman desteği almamıştır.

Etik Beyan

Bu makale, yazar tarafından insan katılımcılar veya hayvanlar üzerinde gerçekleştirilen herhangi bir çalışma içermemektedir

Teşekkür

Yazar, bu araştırmayı destekleyen akademik ortamı sağlamasından dolayı Kocaeli Üniversitesi’ne teşekkür eder.

Numerical Modelling of Clamping Condition Effects on Contact Behavior and Structural Stability in Toolholder Systems during External Cylindrical Turning

Öz

The mechanical stability of tool-clamping systems is governed by contact conditions at the tool holder–tool post interface, which are directly controlled by bolt-induced preload forces. In external turning operations on universal lathes, manual tightening of clamping bolts may introduce preload asymmetry, resulting in non-uniform contact pressure distributions. This study presents a numerical modeling framework to investigate the relationship between clamping conditions, contact behavior, and structural stability in a bolted toolholder system. A pre-stressed finite element model was developed to simulate bolt tightening and subsequent cutting-force application, enabling the evaluation of contact-state evolution. The effects of total tightening torque, torque ratio between clamping bolts, and mounting orientation were examined for right-hand (RH) and left-hand (LH) configurations under light, medium, and hard cutting regimes. Static stiffness and the first three natural frequencies were used to characterize the structural response. Regression-based analysis of variance was performed to identify statistically significant parameters, and significant responses were modeled using Response Surface Methodology (RSM). Model predictions were verified through additional finite element simulations. The results showed that preload-induced contact behavior strongly influences system response, with static stiffness and the second natural frequency exhibiting the highest sensitivity to clamping parameters. In addition, mounting orientation generated directional asymmetry relative to the tangential cutting force, leading to configuration-dependent dynamic characteristics. The findings demonstrate that tightening torque magnitude alone is insufficient to evaluate toolholder behavior; preload distribution, contact mechanics, and mounting configuration must be considered together to accurately describe clamped interfaces.

Anahtar Kelimeler

• Toolholder clamping
• Bolted joints
• Machining stability
• Finite element analysis
• Response surface methodology
• Contact mechanics

Destekleyen Kurum

This research received no external funding.

Etik Beyan

This article does not contain any studies involving human participants or animals performed by any of the authors.

Teşekkür

The author acknowledges Kocaeli University for providing an academic environment that supported this research.

Kaynakça

1. J.H. Ko, C. Yin, A review of artificial intelligence application for machining surface quality prediction: from key factors to model development, J. Intell. Manuf. (2025). https://doi.org/10.1007/s10845-025-02571-y.
2. C. Felhő, T. Namboodri, Statistical Analysis of Cutting Force and Vibration in Turning X5CrNi18-10 Steel, Applied Sciences 15 (2025). https://doi.org/10.3390/app15010054.
3. Y. Sun, M. Zheng, S. Jiang, D. Zhan, R. Wang, A State-of-the-Art Review on Chatter Stability in Machining Thin−Walled Parts, Machines 11 (2023). https://doi.org/10.3390/machines11030359.
4. W.K. Wang, M. Wan, W.H. Zhang, Y. Yang, Chatter detection methods in the machining processes: A review, J. Manuf. Process. 77 (2022) 240–259. https://doi.org/10.1016/j.jmapro.2022.03.018.
5. A. Basit, N.B. Khan, S. Ali, R. Muhammad, D. Abduvalieva, M.I. Khan, M. Jameel, Chatter detection and suppression in machining processes: a comprehensive analysis, International Journal on Interactive Design and Manufacturing 18 (2024) 3751–3771. https://doi.org/10.1007/s12008-023-01716-8.
6. N. Praveen, S.K. N G, S. R, C.D. Prasad, H. Soni, V. G, M. Prasad, S.K. T C, U.S. Mallik, A.A. Aden, Effect of CNC Turning Parameters on MRR, Cutting Force and Surface Roughness for Ternary Shape Memory Alloys (SMAs), Results in Engineering 26 (2025). https://doi.org/10.1016/j.rineng.2025.104876.
7. J. Lukács, R. Horváth, Comprehensive Investigations of Cutting with Round Insert: Introduction of a Predictive Force Model with Verification, Metals (Basel). 12 (2022). https://doi.org/10.3390/met12020257.
8. Y. Kaplan, R. Binali, T. Çetin, M.E. Gökdemir, S. Yaghoubi, M. Topuz, A Review: Literature Summary on the Relationship Between Cutting Parameters and Machinability in Turning Operations, Doğu Fen Bilimleri Dergisi 8 (2025) 193–212. https://doi.org/10.57244/dfbd.1829991.

9. R.C. Ugras, Y. Altintas, Modeling and identification of clamping contact stiffness, CIRP J. Manuf. Sci. Technol. 52 (2024) 264–276. https://doi.org/10.1016/j.cirpj.2024.06.005.
10. Y. Ma, Y. Fu, Y. Tian, X. Liu, Semi-analytical Stiffness Model of Bolted Joints in Machine Tools Considering the Coupling Effect, Nanomanufacturing and Metrology 6 (2023). https://doi.org/10.1007/s41871-023-00195-5.
11. W. Xu, Q. Cheng, C. Yang, Y. Li, Dynamic analysis and looseness evaluation of bolted connection under vibration of machine tools, The International Journal of Advanced Manufacturing Technology 124 (2023) 3761–3770. https://doi.org/10.1007/s00170-021-07615-0.
12. Y.S. Cui, Y.Q. Wang, Effective contact stiffness model for bolted flange joint with spigot, Int. J. Mech. Sci. 293 (2025). https://doi.org/10.1016/j.ijmecsci.2025.110213.
13. J. Xie, Z. Lu, J. Cao, Z. Guo, X. Kang, Z. Zhang, T. Wang, Simulation and experimental study on contact pressure distribution of contact interface in single and double bolted connection structures, Journal of Low Frequency Noise Vibration and Active Control 43 (2024) 123–143. https://doi.org/10.1177/14613484231209300.
14. T.C. Chan, A. Ullah, B. Roy, S.L. Chang, Finite element analysis and structure optimization of a gantry-type high-precision machine tool, Sci. Rep. 13 (2023). https://doi.org/10.1038/s41598-023-40214-5.
15. M. Soori, BehroozArezoo, Modification of CNC Machine Tool Operations and Structures Using Finite Element Methods: A Review, Jordan Journal of Mechanical and Industrial Engineering 17 (2023) 327–343. https://doi.org/10.59038/jjmie/170302.
16. M. Xu, C. Li, G. Yao, Y. Zhang, Y. Gao, Load-dependent stiffness model and experimental validation of four-station rotary tool holder, Mech. Syst. Signal Process. 171 (2022). https://doi.org/10.1016/j.ymssp.2022.108868.
17. C. Li, Z. Zou, W. Duan, J. Liu, F. Gu, A.D. Ball, Characterizing the Vibration Responses of Flexible Workpieces during the Turning Process for Quality Control, Applied Sciences 13 (2023). https://doi.org/10.3390/app132312611.
18. M. Kuntoğlu, A. Aslan, D.Y. Pimenov, K. Giasin, T. Mikolajczyk, S. Sharma, Modeling of cutting parameters and tool geometry for multi-criteria optimization of surface roughness and vibration via response surface methodology in turning of AISI 5140 steel, Materials 13 (2020). https://doi.org/10.3390/MA13194242.
19. M. Sarikaya, A. Güllü, Taguchi design and response surface methodology based analysis of machining parameters in CNC turning under MQL, J. Clean. Prod. 65 (2014) 604–616. https://doi.org/10.1016/j.jclepro.2013.08.040.
20. M. Mia, N.R. Dhar, Response surface and neural network based predictive models of cutting temperature in hard turning, J. Adv. Res. 7 (2016) 1035–1044. https://doi.org/10.1016/j.jare.2016.05.004.
21. T. Misaka, J. Herwan, O. Ryabov, S. Kano, H. Sawada, N. Kasashima, Y. Furukawa, Prediction of surface roughness in CNC turning by model-assisted response surface method, Precis. Eng. 62 (2020) 196–203. https://doi.org/10.1016/j.precisioneng.2019.12.004.
22. A. Kumar Parida, K. Maity, Modeling of machining parameters affecting flank wear and surface roughness in hot turning of Monel-400 using response surface methodology (RSM), Measurement 137 (2019) 375–381. https://doi.org/10.1016/j.measurement.2019.01.070.
23. D.A. Stephenson, J.S. Agapiou, Metal cutting theory and practice, CRC press, 2018.
24. P.M. Knupp, Algebraic mesh quality metrics for unstructured initial meshes, 2003. www.elsevier.com/locate/ÿnel.
25. P.J. Blau, Friction science and technology: from concepts to applications, CRC press, 2008.
26. A. Forrester, A. Sobester, A. Keane, Engineering design via surrogate modelling: a practical guide, John Wiley & Sons, 2008.
27. R.H. Myers, D.C. Montgomery, C.M. Anderson-Cook, Response surface methodology: process and product optimization using designed experiments, John Wiley & Sons, 2016.
28. C. Li, Y. Jiang, R. Qiao, X. Miao, Modeling and parameters identification of the connection interface of bolted joints based on an improved micro-slip model, Mech. Syst. Signal Process. 153 (2021). https://doi.org/10.1016/j.ymssp.2020.107514.
29. D. Wang, C. Xu, X. Fan, Q. Wan, Reduced-order modeling approach for frictional stick-slip behaviors of joint interface, Mech. Syst. Signal Process. 103 (2018) 131–138. https://doi.org/10.1016/j.ymssp.2017.10.001.
30. N. Jamia, H. Jalali, J. Taghipour, M.I. Friswell, H. Haddad Khodaparast, An equivalent model of a nonlinear bolted flange joint, Mech. Syst. Signal Process. 153 (2021). https://doi.org/10.1016/j.ymssp.2020.107507.
31. R. Lacayo, L. Pesaresi, J. Groß, D. Fochler, J. Armand, L. Salles, C. Schwingshackl, M. Allen, M. Brake, Nonlinear modeling of structures with bolted joints: A comparison of two approaches based on a time-domain and frequency-domain solver, Mech. Syst. Signal Process. 114 (2019) 413–438. https://doi.org/10.1016/j.ymssp.2018.05.033.
32. D.C. Montgomery, Design and analysis of experiments, John Wiley & Sons, 2017.