Abstract
Slotted cylinder springs combine some advantages of helical and disc springs. They do not twist when they are compressed and, at the same time, can carry axial and transverse loads. Their wider use is hampered by the uneven distribution of stresses during operation resulting from their geometry, which makes their load capacity relatively low. The paper presents an attempt to modify the geometry of a conventional slotted spring using the multi-objective genetic algorithm optimization. It exemplifies holistic application of various software tools aiding design process. The analyses confirmed a significant reduction of maximum stress at a given load when compared to the conventional design. The optimization allowed the energy storage capacity to be increased by more than two and a half times compared to the reference spring. Analyses showed that a 39% reduction in maximum equivalent stress was achieved for the same axial load. The experimental tests allowed the results obtained by numerical means to be verified.
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References
Haraguchi, D.; Tadano, K.; Kawashima, K.: Development of a pneumatically-driven forceps manipulator using a flexible joint: (improvement of joint mechanism and theoretical models). Trans. Japan Fluid Power Syst. Soc. 44, 118–125 (2013). https://doi.org/10.5739/jfps.44.118
Makino, S.; Kawaharazuka, K.; Fujii, A., Kawamura, M.; Makabe, T.; Onitsuka, M.; Asano, Y.; Okada, K.; Kawasaki, K.; Inaba, M.: Five-fingered hand with wide range of thumb using combination of machined springs and variable stiffness joints, In: 2018 IEEE/RSJ International Conference on Intelligent Robots and Systems (IROS), IEEE, Madrid, pp. 4562–4567. (2018), https://doi.org/10.1109/IROS.2018.8594316.
Siczek, K.; Siczek, K.: Studies on the dynamics the valve train with machined valve springs. Combust. Eng. (2017). https://doi.org/10.19206/CE-2017-116
Gutsalenko, Y.: Applications and prospects of slotted springs in mechanical engineering. Mod. Technol. Mech. Eng. 12, 41–53 (2017)
Rivin, E.I.: Passive Vibration Isolation, ASME Press [u.a.], New York (2003)
Machined spring offers high accuracy. Aircr. Eng. Aerospa. Tech. 76, aeat.2004.12776fad.003, https://doi.org/10.1108/aeat.2004.12776fad.003
de Calderon, J.D.; Perez, C.: On the general characterization of machined springs and their manufacturing processes, In: Volume 12: Systems and Design, American Society of Mechanical Engineers, San Diego, California, USA, p. V012T13A054, (2013). https://doi.org/10.1115/IMECE2013-63402
Jeong, B.; Kim, M.-O.; Lee, J.-I.; Eun, Y.; Choi, J.; Kim, J.: Development of MEMS multi-mode electrostatic energy harvester based on the SOI process. Micromachines 8, 51 (2017). https://doi.org/10.3390/mi8020051
Schneider, W.A.: Design and applications of slotted cylinder springs, Army Electronics Labs Fort Monmouth NJ, (1963)
Michalczyk, K.: Stress analysis in slotted springs. Mechanics 25, 131–134 (2006)
Razooqi, A.I.; Ameen, H.A.; Mashloosh, K.M.: Static and dynamic characteristics of slotted cylinder spring. Int. J. Eng. Res. Technol. (IJERT) 2, 3860–3871 (2013)
Vishwa, V.B.; Deepak, V.: Static analysis of slotted springs, pp. 455–459, (2016). https://doi.org/10.1109/ICACDOT.2016.7877627.
Mbobda, G.; Meva’a, L.; Mbobda, P.L.K.: On the stress distribution in slotted cylinder springs period. Polytech. Mech. Eng. (2018). https://doi.org/10.3311/PPme.11392
Barsamyan, V.; Gutsalenko, Y.; Iancu, C.: Phenomenon and complex calculation of the slotted spring. Fiabil. Durabil. 1, 404–411 (2018)
Chapkin, W.A.; Walgren, P.; Frank, G.J.; Seifert, D.R.; Hartl, D.J.; Baur, J.W.: Design and optimization of high-strain, cylindrical composite skins for morphing fuselages. Mater. Des. 187, 108395 (2020). https://doi.org/10.1016/j.matdes.2019.108395
Gnateski, V.: Slotted Spring Vibration Isolator, (2014)
Deb, K.; Pratap, A.; Agarwal, S.; Meyarivan, T.: A fast and elitist multiobjective genetic algorithm: NSGA-II. IEEE Trans. Evol. Computat. 6, 182–197 (2002). https://doi.org/10.1109/4235.996017
Kobelev, V.: Durability of Springs. Springer, Berlin Heidelberg, New York (2017)
Q-400 Istra 4D Manual. Standard Practice, Dantec Dynamics GmbH, Ulm, Germany, (2020)
International Digital Image Correlation Society, In: Jones, E., Iadicola, M., Bigger, R., Blaysat, B., Boo, C., Grewer, M., Hu, J., Jones, A., Klein, M., Raghavan, K., Reu, P., Schmidt, T., Siebert, T., Simenson, M., Turner, D., Vieira, A., Weikert, T. (Eds) A Good Practices Guide for Digital Image Correlation, 1st ed., International Digital Image Correlation Society, (2018). https://doi.org/10.32720/idics/gpg.ed1.
Dong, Y.L.; Pan, B.: A review of speckle pattern fabrication and assessment for digital image correlation. Exp. Mech. 57, 1161–1181 (2017). https://doi.org/10.1007/s11340-017-0283-1
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The authors acknowledge the financial support of AGH University of Science and Technology, project No. 16.16.130.942.
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Warzecha, M., Michalczyk, K. & Machniewicz, T. A Novel Slotted Cylinder Spring Geometry with an Improved Energy Storing Capacity. Arab J Sci Eng 47, 15539–15549 (2022). https://doi.org/10.1007/s13369-022-06692-x
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DOI: https://doi.org/10.1007/s13369-022-06692-x