PSI - Issue 82

Kübra Polat et al. / Procedia Structural Integrity 82 (2026) 267–273 K. Polat, M. M. Topaç/ Structural Integrity Procedia 00 (2026) 000–000

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of these regions was investigated. For this purpose, fatigue endurance limits (S e ) were calculated by applying all Marin modifying factors, and the fatigue stress concentration factor (K f ) was determined using finite element analysis. The results showed that final design (Model 4) exhibited stress value within the infinite-life region of the Goodman–Haigh diagram. Thus, a 8% weight reduction was achieved in the axle beam, and the final design was found to be safe.

! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! Mean Stress (- ! m )

!!

Alternating Stress ( ! a )

0 2 4 6 8 10

! y 0 100 200 300 400 500 600 700 800 900 1000 -1000 -800 -600 -400 -200 0 200 400 600 800 1000 1200 1400 1600 S e ! ut ! y Infinite Life Region Model 4

1

2

3

4

Mass Reduction ( %)

100 150 200 250 300

0 50

Mean Stress ( ! m )

1

2

3

4

Axle Beam Model

Equivalent Stress (MPa)

Fig. 7. Goodman–Haigh diagrams obtained for different hole forms on the front axle beam.

References

Eryürek, B. ,1993. Hasar analizi (in Turkish), Birsen Yayınevi, İstanbul. Güler, A.; Kuralay, N.S.; Topaç, M.M., 2012. Transformation of a casting rear axle housing to fabricated axle housing. In: 6th International Automotive Technologies Congress (OTEKON 2012), Bursa, Turkey. Haigh, B. P., 1929. The relative safety of mild and high tensile alloy steels under alternating and pulsating stresses. Proceedings of the Institution of Automobile Engineers 24, 1, 320–362. Heißing, B. and Ersoy, M., 2010. Chassis Handbook: Fundamentals, Driving Dynamics, Components, Mechatronics, Perspectives. Springer Science & Business Media. Berlin. Hilgers, M. and Achenbach, W. , 2023. Chassis and Axles. Springer Vieweg. Germany. Hosford, W. F., 2009. Mechanical behavior of materials. In: Mechanical Behavior of Materials, pp. 275–301. Cambridge: Cambridge University Press. Jazar, R. N., 2008. Vehicle dynamics (Vol. 1). New York: Springer. Loosle, D. G., Leon, P. F. and Danielson, C. R., 1980. One piece stamped I-beam axle. SAE Technical Paper No. 801425. Mathur, A. and Kurna, S. ,2015. Weight optimization of axle beam using Optistruct. In: Altair Technology Conference, India. Mitschke, M., 1972. Dynamik der Kraftfahrzeuge. Springer. Berlin. Neugebauer, J. R., Grubisic, V. and Fischer, G., 1989. Procedure for design optimization and durability life approval of truck axles and axle assemblies. SAE Technical Paper No. 892535. Reimpell, J., Stoll, H., & Betzler, J. ,2001. The automotive chassis: engineering principles. Elsevier. Sendeckyj, G. P. , 2001. Constant life diagrams—a historical review. International Journal of Fatigue 23, 4, 347–353. Shigley, J. E. and Mischke, C., 1989. Mechanical Engineering Design. McGraw-Hill Inc. New York, pp. 218–288. Topaç, M. M., Bahar, İ., & Kuralay, N. S. ,2016. Mass and Stress Optimisation of a Multi-Purpose Vehicle Front Axle Differential Housing For Various Driving Conditions. Duzce University Journal of Science and Technology, 4,2, 501-513. Topaç, M. M., Günal, H., & Kuralay, N. S. ,2009. Fatigue failure prediction of a rear axle housing prototype by using finite element analysis. Engineering Failure Analysis, 16,5, 1474-1482. Topaç, M.M., Polat, K., Seren, O., Buldu, M.M., Güzey, G., 2025.Effect of Stiffening Rib Location on Failure Tendency of a Heavy-Duty Rear Axle Housing. In: International Congress of Automotive and Transport Engineering. Proceedings in Automotive Engineering. Springer, Cham. Wimmer, H., 1998. Modern Front Axle Systems for Low Floor Buses and Coaches (No. 982776). SAE Technical Paper. Wimmer, H. and Alsdorf, F. , 2006. Modern front axle systems for city buses. ATZ worldwide 108, 3, 2–5. Yan, C., Hao, W., Yin, Y., Zeng, N., Du, H., & Song, D., 2022. Stress optimization of vent holes with different shapes using efficient switching delayed PSO algorithm. Applied Sciences, 12(11), 5395.