Research Article
BibTex RIS Cite

Examination of Vibration Behaviors of Lattice Structures in Helicopter Transmission

Year 2025, Volume: 11 Issue: 3, 465 - 480, 31.12.2025

Abstract

One of the persistent challenges in helicopter design is the mitigation of vibration originating from transmission systems, where gear housings play a critical role in both structural integrity and dynamic response. Although numerous approaches have been investigated for vibration reduction, limited attention has been given to the use of Triply Periodic Minimal Surface (TPMS)-based lattice structures in aerospace transmission applications. Addressing this gap, the present study evaluates the vibration and structural performance of gear housings designed with Gyroid, Diamond, and Schwarz topologies. The housings were fabricated using additive manufacturing techniques, and their dynamic behavior was experimentally assessed on a custom-designed test rig. Vibration signals acquired from accelerometer sensors were processed through FFT, RMS, and envelope analysis methods. Complementary to the experimental campaign, finite element analysis was employed to investigate stress distributions across the geometries. The results demonstrated that the Gyroid structure provided the most favorable dynamic response, yielding the lowest RMS value along the Z-axis (2.61 m/s²), while the Schwarz structure exhibited the lowest stress value (3.46 MPa). Overall, the findings highlight that TPMS-based lattice housings have the potential to attenuate vibration propagation through their multi-layered cellular topology while maintaining adequate structural strength. This suggests that such geometries may serve as promising alternatives to conventional solid gear housings in helicopter transmission systems, thereby contributing to both weight reduction and vibration control in aerospace applications.

References

  • [1] J. G. Leishman, Principles of Helicopter Aerodynamics, 2nd ed. Cambridge, U.K.: Cambridge Univ. Press, 2006.
  • [2] G. D. Padfield, Helicopter Flight Dynamics: The Theory and Application of Flying Qualities and Simulation Modelling, 2nd ed. Chichester, U.K.: Wiley, 2007.
  • [3] P. D. Samuel and D. J. Pines, "A review of vibration-based techniques for helicopter transmission diagnostics," Journal of Sound and Vibration, vol. 282, no. 1–2, pp. 475–508, Apr. 2005. doi: 10.1016/j.jsv.2004.02.058
  • [4] A. A. Islam, P. J. Dempsey, J. Feldman, and C. Larsen, "Characterization and comparison of vibration transfer paths in a helicopter gearbox and a fixture-mounted gearbox," NASA Tech. Memo. NASA/TM-2013-216586, NASA Glenn Res. Center, Cleveland, OH, USA, Mar. 2014. [Online]. Available: https://ntrs.nasa.gov/citations/20140006955. [Accessed: Feb. 15, 2024].
  • [5] K. Feng, J. C. Ji, Q. Ni, and M. Beer, "A review of vibration-based gear wear monitoring and prediction techniques," Mechanical Systems and Signal Processing, vol. 182, Art. no. 109605, Jan. 2023. doi: 10.1016/j.ymssp.2022.109605
  • [6] T. Kim and J. Dugundji, "Nonlinear large amplitude vibration of composite helicopter blade at large static deflection," AIAA Journal, vol. 31, no. 5, pp. 938–946, May 1993. doi: 10.2514/3.11708
  • [7] R. U. H. Syed, M. I. Sabir, J. Wei, and D. Y. Shi, "Effect of viscoelastic material thickness of damping treatment behavior on gearbox," Research Journal of Applied Sciences, Engineering and Technology, vol. 4, no. 17, pp. 3130–3136, Sept. 2012.
  • [8] P. Xiao, W. Yang, K. Jiang, J. Yang, and W. Shi, "Study on vibration reduction performance of gear pairs made by a high-strength Fe–Mn damping alloy," Applied Sciences, vol. 12, no. 8, Art. no. 3925, Apr. 2022. doi: 10.3390/app12083925
  • [9] C. Pan, Y. Han, and J. Lu, "Design and optimization of lattice structures: A review," Applied Sciences, vol. 10, no. 18, Art. no. 6374, Sept. 2020. doi: 10.3390/app10186374
  • [10] X. Shi, T. Chen, J. Zhang, B. Su, Q. Cong, and W. Tian, "A review of bioinspired vibration control technology," Applied Sciences, vol. 11, no. 22, Art. no. 10584, Nov. 2021. doi: 10.3390/app112210584
  • [11] I. Maskery, L. Sturm, A. O. Aremu, A. Panesar, C. B. Williams, C. J. Tuck, R. D. Wildman, I. A. Ashcroft, and R. J. M. Hague, "Insights into the mechanical properties of several triply periodic minimal surface lattice structures made by polymer additive manufacturing," Polymer, vol. 152, pp. 62–71, Sept. 2018. doi: 10.1016/j.polymer.2017.11.049
  • [12] D. Laskowska, T. Szatkiewicz, B. Bałasz, and K. Mitura, "Mechanical properties and energy absorption abilities of diamond TPMS cylindrical structures fabricated by selective laser melting with 316L stainless steel," Materials, vol. 16, no. 8, Art. no. 3196, Apr. 2023. doi: 10.3390/ma16083196
  • [13] J. Feng, J. Fu, X. Yao, and Y. He, "Triply periodic minimal surface (TPMS) porous structures: From multi-scale design, precise additive manufacturing to multidisciplinary applications," International Journal of Extreme Manufacturing, vol. 4, no. 2, Art. no. 022001, 2022. doi: 10.1088/2631-7990/ac5be6
  • [14] L. Yang, C. Yan, C. Han, P. Chen, S. Yang, and Y. Shi, "Mechanical response of a triply periodic minimal surface cellular structures manufactured by selective laser melting," International Journal of Mechanical Sciences, vol. 148, pp. 149–157, 2018. doi: 10.1016/j.ijmecsci.2018.08.039
  • [15] Y. Tang, G. Dong, Q. Zhou, and Y. F. Zhao, "Lattice structure design and optimization with additive manufacturing constraints," IEEE Transactions on Automation Science and Engineering, vol. 15, no. 4, pp. 1546–1562, Oct. 2018. doi: 10.1109/TASE.2018.2875650
  • [16] R. Gandhi, L. Maccioni, and F. Concli, "Significant advancements in numerical simulation of fatigue behavior in metal additive manufacturing – Review," Applied Sciences, vol. 12, no. 21, Art. no. 11132, Nov. 2022. doi: 10.3390/app122111132
  • [17] T. Mair, J. Fuerbacher, Y. He, et al., "Statistical approach to the investigation of adjusting the dynamic structural behavior of additively manufactured parts using composite lattice structures: Influence of the geometric parameters and the filling with epoxy resin," Progress in Additive Manufacturing, 2025. doi: 10.1007/s40964-025-01223-0
  • [18] S. Seharing, P. Müller, and A. Weidner, "Fatigue behavior assessment of TPMS structures fabricated by selective laser melting," Materials Science and Engineering A, vol. 772, Art. no. 138721, 2020.
  • [19] D. Veloso, L. Ramos, and J. Lima, "Design strategies for lattice structures using unit cell manipulation in engineering applications," Materials & Design, vol. 210, Art. no. 110040, 2022.
  • [20] A. Montemayor, R. Gupta, and T. A. Schaedler, "Mechanical performance of gyroid structures under dynamic loads," Materials & Design, vol. 192, Art. no. 108728, 2020.
  • [21] D. Folenta and W. Lebo, Design, Manufacture, and Spin Test of High Contact Ratio Helicopter Transmission Utilizing Self-Aligning Bearingless Planetary (SABP), NASA Contractor Rep. 4155, 1988.
  • [22] J. E. Shigley, C. R. Mischke, and R. G. Budynas, Shigley’s Mechanical Engineering Design, 8th ed. New York, NY, USA: McGraw-Hill, 2011.
  • [23] E. E. Osakue and L. Anetor, "Helical gear design for bending fatigue," International Journal of Research in Engineering and Technology, vol. 6, no. 3, pp. 6–18, Mar. 2017.
  • [24] V. B. Bhandari, Design of Machine Elements, 3rd ed. New Delhi, India: McGraw-Hill Education, 2008.
  • [25] International Organization for Standardization, "Calculation of load capacity of spur and helical gears – Part 1: Basic principles, introduction and general influence factors," ISO Standard 6336-1, Geneva, Switzerland, 2013.
  • [26] Stratasys, "3D printer specifications – Objet24/30 V3 family," Stratasys Support. [Online]. Available: https://support.stratasys.com/en/Printers/PolyJet-Legacy/Objet24-30-V3-Family. [Accessed: Feb. 15, 2024].
  • [27] Y. Lyu, T. Gong, T. He, H. Wang, M. Zhuravkov, and Y. Xia, "Study on the energy absorption performance of triply periodic minimal surface (TPMS) structures at different load-bearing angles," Biomimetics, vol. 9, no. 7, Art. no. 392, 2024. doi: 10.3390/biomimetics9070392
  • [28] M. Abdelaal and I. Eldesouky, "Assessing the mechanical and energy absorption capabilities of lattice structures of F-RD and Fischer–Koch S triply periodic minimal surfaces," Progress in Additive Manufacturing, vol. 10, pp. 8641–8652, 2025. doi: 10.1007/s40964-025-01142-0
There are 28 citations in total.

Details

Primary Language English
Subjects Dynamics, Vibration and Vibration Control
Journal Section Research Article
Authors

Yusuf Sağlam 0000-0001-8876-2007

Harun Gökçe 0000-0002-2702-0111

Submission Date November 21, 2024
Acceptance Date October 18, 2025
Publication Date December 31, 2025
Published in Issue Year 2025 Volume: 11 Issue: 3

Cite

IEEE Y. Sağlam and H. Gökçe, “Examination of Vibration Behaviors of Lattice Structures in Helicopter Transmission”, GJES, vol. 11, no. 3, pp. 465–480, 2025.

GJES is indexed and archived by:

3311333114331153311633117

Gazi Journal of Engineering Sciences (GJES) publishes open access articles under a Creative Commons Attribution 4.0 International License (CC BY) 1366_2000-copia-2.jpg