Skip to content
Licensed Unlicensed Requires Authentication Published by De Gruyter February 23, 2021

Characterization of the torsional vibration behavior of circular and rectangular cross-sectional arc springs: Theory and experiments

Samet Fidanciogullari and Ahmet Yildiz
From the journal Materials Testing


This paper is about the theoretical and experimental characterizations of the torsional vibration behavior of circular and rectangular cross-sectional arc springs. Firstly, the dynamic behaviors of arc springs with different cross-sectional wire profiles designed for a dual mass flywheel are modeled by mathematical formulations. After that, experimental tests are performed to verify these models and it is observed that the stiffness characterizations are in good agreement with experimental results. Lastly, the masses of two different arc springs are compared by regarding the same vibration stiffness criteria and it is demonstrated that the rectangular wire provides an arc spring with a 9.44 vol.-% lighter structure. Thus, the outcomes of this paper can be good references for the manufacturer about the numerical and experimental characterization of dual mass flywheel springs, especially for rectangular wire arc springs.

Assist. Prof. Dr. Ahmet Yildiz Automotive Engineering Department Engineering Faculty Bursa Uludağ University Campus of Gorukle 16059, Bursa/Turkey


This study is part of the project coded TEY-DEB-3190332, supported by The Scientific and Technological Research Council of Turkey (TUBITAK) and Orhan Automotive Inc. Co. The authors would like to express their sincere thanks to these foundations.


1 D. Szpica: Modelling of the operation of a dual mass flywheel (DMF) for different engine-related distortions, Mathematical and Computer Modelling of Dynamical Systems 24 (2018) No. 6, pp. 643-660 DOI:10.1080/13873954.2018.152183910.1080/13873954.2018.1521839Search in Google Scholar

2 Z. Li, J. Sandhu: Transmission torque converter arc spring damper dynamic characteristics for driveline torsional vibration evaluation, SAE International Journal of Passenger Cars-Mechanical Systems 6 (2013), No. 1, pp. 477-482 DOI:10.4271/2013-01-148310.4271/2013-01-1483Search in Google Scholar

3 L. Wramner: Torsional vibrations in truck powertrains with dual mass flywheel having piecewise linear stiffness, G. Stépán (Ed.): Proc. of 9th European Nonlinear Dynamics Conference, Congressline, Budapest (2017), pp. 1-10Search in Google Scholar

4 D. Johansson, K. Karlsson: Simulation models of dual mass flywheels, Master’s Thesis, Chalmers University of Technology, Goteborg, Sweden (2017), pp. 1-57Search in Google Scholar

5 C. Metsenaere: Fracture analysis of dual mass flywheel arc springs, Eindhoven: Technische Universiteit Eindhoven, DCT Rapporten 78 (2002), pp. 1-41Search in Google Scholar

6 Y. Yamakaji, Dynamics modeling of the arc spring for powertrain NVH prediction, Y. Hirano, J. Andreasson (Ed.): Proceedings of the 1st Japanese Modelica Conference, Modelica Association and Linköping University Electronic Press, Tokyo (2016), pp. 9-14 DOI:10.3384/ecp16124910.3384/ecp161249Search in Google Scholar

7 L. Chen, R. Zeng, Z. Jiang: Nonlinear dynamical model of an automotive dual mass flywheel in mechanical engineering, Advances in Mechanical Engineering 7 (2015) No. 6, pp. 1-11 DOI:10.1177/168781401558953310.1177/1687814015589533Search in Google Scholar

8 A. Govinda, K. Annamalai: Design and analysis of arc spring used in dual mass flywheel, International Journal of Engineering & Technology Research 2 (2014), No. 1, pp. 35-41, ISSN Online: 2347-4904Search in Google Scholar

9 D. Chen, Y. Ma, W. Sun, X. Guo, X. Shi: Research of design and vibration reduction of dual mass flywheel with arc helix spring, S. Junpeng (Ed.): Proceedings of International Conference on Electronic & Mechanical Engineering and Information Technology, Curran Associates, Harbin (2011), pp. 2706-2709 DOI:10.1109/2011.6023026.10.1109/2011.6023026Search in Google Scholar

10 U. Schaper, O. Sawodny, T. Mahl, U. Blessing: Modeling and torque estimation of an automotive dual mass flywheel, W. Bequette (Ed.): Proceedings of the American Control Conference, Curran Associates, St. Louis, Missouri, USA (2009), pp. 1207-1212 DOI:10.1109/ACC.2009.5160136.10.1109/ACC.2009.5160136Search in Google Scholar

11 X. Tang, X. Hu, W. Yang and H. Yu: Novel torsional vibration modeling and assessment of a power-split hybrid electric vehicle equipped with a dual-mass flywheel, IEEE Transactions on Vehicular Technology 67 (2018), No. 3, pp. 1990-2000 DOI:10.1109/TVT.2017.2769084.10.1109/TVT.2017.2769084Search in Google Scholar

12 Y. Wang, X.Qin, S. Huang, S. Deng: Design and analysis of a multi-stage torsional stiffness dual mass flywheel based on vibration control, Applied Acoustics 104 (2016), No. 3, pp. 172-181 DOI:10.1016/2015.11.00410.1016/2015.11.004Search in Google Scholar

13 T. Mahl, O. Sawodny: Modelling of an automotive dual mass flywheel, IFAC Proceedings Volumes 43 (2010), No. 18, pp. 517-523 DOI:10.3182/20100913-3-US-2015.0006910.3182/20100913-3-US-2015.00069Search in Google Scholar

14 L. Zeng, L. Song, J. Zhouab: Design and elastic contact analysis of a friction bearing with shape constraint for promoting the torque characteristics of a dual mass flywheel, Mechanism and Machine Theory 92 (2015), No. 10, pp. 356-374 DOI:10.1016/2015.06.00210.1016/2015.06.002Search in Google Scholar

15 L. Chen, X. Zhang, Z. Yan, R. Zeng: Matching model of dual mass flywheel and power transmission based on the structural sensitivity analysis method, Symmetry 11 (2019), No. 187, pp. 1-29 DOI:10.3390/sym1102018710.3390/sym11020187Search in Google Scholar

16 A. Yildiz: Optimum suspension design for nonlinear half vehicle model using particle swarm optimization (PSO) algorithm, M. Ragulskis (Ed.): Proceedings of the 41st International JVE Conference Vibration, JVE International Ltd., Leipzig, Germany (2019), pp. 43-48 DOI:10.21595/vp.2019.2101210.21595/vp.2019.21012Search in Google Scholar

17 A. Yildiz: A comparative study on the optimal non-linear seat and suspension design for an electric vehicle using different population-based optimisation algorithms, International Journal of Vehicle Design 80 (2019), No. 2-4, pp. 241-256 DOI:10.1504/IJVD.2019.10986810.1504/IJVD.2019.109868Search in Google Scholar

18 H. Dal, M. Baklacı: Design, fabrication and vibration analysis of a lightweight head expander for a high frequency electrodynamic shaker, Materials Testing 61 (2019), No. 10, pp. 965-972 DOI:10.3139/120.11140710.3139/120.111407Search in Google Scholar

19 P. Mall, A. Fidlin, A. Krüger, H. Großa: Simulation based optimization of torsional vibration dampers in automotive powertrains, Mechanism and Machine Theory 115 (2017), No. 9, pp. 244-266 DOI:10.1016/2017.05.01010.1016/2017.05.010Search in Google Scholar

20 G. Karadere, Y. Düzcan, A. R. Yıldız: Lightweight design of automobile suspension components using topology and shape optimization techniques, Materials Testing 62 (2020), No. 5, pp. 454-458 DOI:10.3139/120.11150310.3139/120.111503Search in Google Scholar

21 T. Güler, E. Demirci, A. R. Yıldız, U. Yavuz: Lightweight design of an automobile hinge component using glass fiber polyamide composites, Materials Testing 60 (2018), No. 3, pp. 306-310 DOI:10.3139/120.11115210.3139/120.111152Search in Google Scholar

22 H. Wei, J. Zhengfeng, Z. Rong, C. Lei, W. Liwei: Study on static stiffness model of long circumferential spring dual mass flywheel, China Mechanical Engineering 25 (2014), No. 24, pp. 3278-3288 DOI:10.3969/j.issn.1004-132X.2014.24.00310.3969/j.issn.1004-132X.2014.24.003Search in Google Scholar

23 D. Abdul Budan, T. S. Manjunatha: Investigation on the feasibility of composite coil spring for automotive applications, International Journal of Mechanical and Mechatronics Engineering 4 (2010), No. 10, pp. 3278-3288 DOI:10.5281/zenodo.105883110.5281/zenodo.1058831Search in Google Scholar

Published Online: 2021-02-23

© 2021 Walter de Gruyter GmbH, Berlin/Boston, Germany