Construction of a mathematical model of dynamic loads in a jib self-propelled crane when pulling a sheet pile out of the ground
DOI:
https://doi.org/10.15587/1729-4061.2025.327663Keywords:
vibratory pile driver, dynamic coefficient, loads in elastic ties, friction force, sheet pileAbstract
The object of this study is the process of extracting sheet piles from the ground using a jib self-propelled crane for their repeated use. The task addressed was the extraction of steel sheet piles by a jib self-propelled crane, its interaction with the vibratory pile driver, and the determination of dynamic loads.
The vibratory method significantly increases extraction efficiency; however, it also induces vibrational impacts on the crane, causing alternating stresses in the metal structure. This could lead to fatigue damage accumulation, cracks in weld seams, failure of base metal, and a decrease in the service life of the self-propelled crane. Furthermore, vibration negatively affects the working conditions of crane operators by causing fatigue, reducing performance, and compromising safety.
Mathematical modeling methods were used, with the construction of calculation schemes that reflect all stages of sheet pile extraction: preliminary insertion, taking up slack in the lifting system, tensioning the lifting ropes, extraction with vibration over 2/3 of the pile’s length, and final extraction without vibration.
Numerical modeling has shown that during static extraction, the dynamic coefficient may reach 4.76, while with vibration it decreases to 1.47. This confirms the effectiveness of the vibratory method, provided its adverse effects on the crane are minimized. The results could be applied to improve crane design, devise protective measures against vibration, and enhance operational efficiency and safety. Additionally, the findings could become a basis for optimizing the parameters of elastic ties and the interaction scheme between the crane and the ground, thereby expanding the potential for model’s practical application under more complex conditions
References
- Yakymenko, O. V. (2020). Suchasni metody vlashtuvannia pal ta shpuntovykh obhorodzhen. Kharkiv: KhNUMH im. O. M. Beketova, 119. Available at: https://eprints.kname.edu.ua/55313/1/2019_ПЕЧ_2%20Н%20пальові%20роботи.pdf
- Chen, F., Li, X., Zhao, H., Hu, P. (2024). Analysis of Soil Response during High‐Frequency Vibratory Steel Pipe Pile Driving in Soft Soil. Advances in Civil Engineering, 2024 (1). https://doi.org/10.1155/2024/4223470
- Massarsch, K. R., Fellenius, B. H., Bodare, A. (2017). Fundamentals of the vibratory driving of piles and sheet piles. Geotechnik, 40 (2), 126–141. https://doi.org/10.1002/gete.201600018
- Rainer Massarsch, K., Wersäll, C., Fellenius, B. H. (2022). Vibratory driving of piles and sheet piles – state of practice. Proceedings of the Institution of Civil Engineers - Geotechnical Engineering, 175 (1), 31–48. https://doi.org/10.1680/jgeen.20.00127
- Khmara, L. A., Kolisnyk, M. P., Shevchenko, A. F., Holubchenko, O. I., Malich, M. H. (2015). Budivelni krany (konstruktsiyi, tekhnichni kharakterystyky, marky, vybir ta ekspluatatsiya). Dnipropetrovsk: IMA-pres, 356.
- Shevchenko, A. F., Kolisnyk, M. P., Chervonoshtan, A. L. (2013). Vibrozakhyst strilovoho samokhidnoho krana z vibratsiynym tekhnolohichnym obladnanniam na haku. «Problemy rozvytku dorozhnoho-transportu i budivelnoho kompleksiv»: Zbirnyk statei i tez mizh nar. Nauk.-prakt. konf. Kirovohrad, PP. «Ekskliuzyv-System», 148–151.
- Kolisnyk, M. P., Shevchenko, A. F., Raksha, S. V., Melashych, V. V. (2015). Rozrakhunky budivelnykh strilovykh kraniv. Dnipropetrovsk: Porohy, 816.
- Chervonoshtan, А. L., Кolisnyk, M. P., Shevchenko, A. F. (2022). Structures of dynamic and mathematical models of self-propelled jib cranes under different external disturbances for compiling computerized programs. Pidiomno-transportna tekhnika, 1 (67), 63–77. Available at: https://ptt-journals.net/article/pidtt_2022_1_67_6/
- Shevchenko, A. F., Kolesnik, M. P. (2002). Dinamicheskie modeli gruzopodieemnyh kranov s navesnym vibracionnym tehnologicheskim oborudovaniem. Pidiomno-transportna tekhnika, 1-2, 93–100.
- Zhan, J., Li, M., Chen, J., Wang, W. (2023). Numerical investigation of soil dynamic response during high-frequency vibratory pile driving in saturated soil. Soil Dynamics and Earthquake Engineering, 173, 108148. https://doi.org/10.1016/j.soildyn.2023.108148
- Staubach, P., Machaček, J., Skowronek, J., Wichtmann, T. (2021). Vibratory pile driving in water-saturated sand: Back-analysis of model tests using a hydro-mechanically coupled CEL method. Soils and Foundations, 61 (1), 144–159. https://doi.org/10.1016/j.sandf.2020.11.005
- Gómez, S. S., Tsetas, A., Meijers, P. C., Metrikine, A. V. (2025). Experimental investigation of frequency-amplitude decoupling in axial-torsional vibratory pile driving by means of laboratory-scale testing. Ocean Engineering, 316, 119788. https://doi.org/10.1016/j.oceaneng.2024.119788
- Holeyman, A., Whenham, V. (2017). Critical Review of the Hypervib1 Model to Assess Pile Vibro-Drivability. Geotechnical and Geological Engineering, 35 (5), 1933–1951. https://doi.org/10.1007/s10706-017-0218-8
- Machaček, J., Staubach, P., Tafili, M., Zachert, H., Wichtmann, T. (2021). Investigation of three sophisticated constitutive soil models: From numerical formulations to element tests and the analysis of vibratory pile driving tests. Computers and Geotechnics, 138, 104276. https://doi.org/10.1016/j.compgeo.2021.104276
- Fang, L., Brown, M., Davidson, C., Wang, W., Sharif, Y. (2024). A 1g model experimental study on the effects of installation parameters on vibratory driving performance of monopoles. 5 th European Conference on Physical Modelling in Geotechnics. Available at: https://www.issmge.org/uploads/publications/53/125/ECPMG2024-103.pdf
- Bhaskar, A., Kreiter, S., Al-Sammarraie, D., Mörz, T. (2022). Effect of dynamic pile driving parameters on vibratory penetration. Cone Penetration Testing 2022, 825–831. https://doi.org/10.1201/9781003308829-122
- Warrington, D. C. (2024). Analysis of Vibratory Pile Drivers using Longitudinal and Rotational Oscillations with a Purely Plastic Soil Model. UTC Spring Research and Arts Conference Proceedings 2024. https://doi.org/10.13140/RG.2.2.18572.08320
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Copyright (c) 2025 Аndrii Chervonoshtan, Mykola Kolisnyk, Oleksandr Golubchenko, Аndrii Shevchenko, Volodymyr Panteleenko

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