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Mathematical model of flexible link dynamics in marine tethered systems considering torsion and its influence on tension forc

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Języki publikacji
EN
Abstrakty
EN
The rigidity in bending of a flexible link (is an important characteristic that should be considered during regular service conditions. The tension and bending with torsion of wire ropes are also significant factors. This study proposed a method to calculate the vectors of the generalised forces of bending of flexible links. One of the causes of torsional stresses in the power plant of underwater tethered systems is the interaction with ship equipment, such as spiral winding on the winch drum, friction on the flanges of the pulleys or winch drums, and bends on various blocks and rolls that cause torsion. The source of torsional stresses in the FL may also be related to manufacturing, storage, transportation, and its placement on the ship’s winch drums. Torsion can lead to a decrease in the tensile strength due to load redistribution between power elements, or even a violation of their structure. In some cases, torsion significantly affects the movement of the underwater tethered system as a whole. The development of a mathematical model to describe the marine tethered systems dynamics, taking into account the effect of torsion, is important and relevant. The mathematical model of the marine tethered systems dynamics was improved and solved by accounting for the generalised forces of the torsion rigidity of the flexible link, using an algorithm and computer program. The influence of the bending and torsional rigidity of the FL on its deflection and tensile strength were considered based on the example of two problems. The developed program’s working window image shows the simulated parameters and the initial position of the flexible link. The results show that torsion has almost no effect on the shape of the a flexible link’s deflection in the X0Z plane, but leads to a deviation from the X0Z plane when calculating the static deflection of the flexible link. When the carrier vessel is stationary and the submersible vehicle has no restrictions on movement and has positive buoyancy, torsion leads to a three-dimensional change in the shape of the flexible link both in the X0Z plane and in the X0Y plane. The tension force of the flexible link along its length is distributed unevenly, and the torsion of the flexible link can lead to significant changes in its shape, the trajectory of towed objects, and the forces acting on the elements of the marine tethered systems.
Rocznik
Tom
Strony
188--196
Opis fizyczny
Bibliogr. 27 poz., rys.
Twórcy
  • Admiral Makarov National University of Shipbuilding, Mykolaiv, Ukraine
Bibliografia
  • 1. K. S. Trunin, “Designing ship deck winches for marine mooring systems with flexible connections using mathematical models to describe their dynamics (in Russian),” Shipbuilding & Marine Infrastructure, vol. 13, no. 1, pp. 4‒16, 2020. DOI: https:// doi.org./10.15589/ smi2020.1(1).1.
  • 2. V. Blintsov and K. Trunin, “Construction of a mathematical model to describe the dynamics of marine technical systems with elastic links in order to improve the process of their design,” Eastern-European Journal of Enterprise Technologies, vol. /1/9 (103), pp. 56‒66, 2020. DOI: 10.15587/17294061.2020.197358. pp. 56-66, p. 74.
  • 3. S. T. Sergeev, Reliability and durability of lifting cables (in Russian). Kiev: Tekhnika; 1968.
  • 4. M. F. Glushko, Steel lifting cables (in Russian). Kiev: Тekhnika; 1966.
  • 5. A. I. Roslik, Experimental investigations of twisting of crane cables. Collection “Steel Cables”, Issue 1. (in Russian). Kiev: Tekhnika; 1964.
  • 6. A. I. Roslik, Twisting of crane cables during operation. Collection “Steel Cables”, Issue 4 (in Russian). Kiev: Tekhnika; 1967.
  • 7. S. F. Chukmasov and A. I. Roslik, Twisting of crane cables due to additional elongation during bending. Collection “Steel Cables”, Issue 2 (in Russian). Kiev: Tekhnika; 1965.
  • 8. A. I. Yakobson, Twisting of cables on blocks and drums. Collection “Steel Cables”, Issue 3 (in Russian). Kiev: Tekhnika; 1966.
  • 9. V. I. Egorov, Underwater towed systems: A textbook (in Russian). Leningrad. Sudostroienie; 1981.
  • 10. V. I. Podubnyj, Yu. E. Shamarin, et al. Dynamics of underwater towed systems (in Russian). St. Petersburg: Судостроение; 1995.
  • 11. F. S. Hover, M. A. Grosenbaugh, and M. S. Triantafyllou, “Calculation of dynamic motion and tensions in towed underwater cables,” IEEE Journal of Oceanic Engineering, vol. 19, no. 3, pp. 449‒457, 1994. Retrieved from: https:// core.ac.uk/ download/ pdf/4385954.pdf.
  • 12. M. Asuma and T. Masayoshi, “A high-gain observer-based approach to robust motion control of towed underwater vehicles,” IEEE Journal of Oceanic Engineering, vol. 44, no. 4, pp. 997‒1010, 2018. http://www.ieee.org/publications. standards/publications /rights/index.html.
  • 13. X.-S. Xu, S.W. Wang, L. Lian, “Dynamic motion and tension of marine cables being laid during velocity change of mother vessels,” China Ocean Engineering, vol. 27, no. 5, pp. 629‒644, 2013. DOI: 10.1007/s13344-013-0053-5.
  • 14. Ł. Drag, “Application of dynamic optimization to the trajectory of a cable-suspended load,” Nonlinear Dynamics, vol. 84, iss. 3, pp. 1637‒1653, 2016. DOI: 10.1007/s11071-015-2593-0.
  • 15. Ł. Drag, “Application of dynamic optimisation to stabilise bending moments and top tension forces in risers,” Nonlinear Dynamics, vol. 88, iss. 3, pp. 2225‒2239, 2017. DOI: 10.1007/ s11071-017-3372-x.
  • 16. K. S. Trunin, Flexible connections in marine mooring systems: Monograph. Mykolaiv: Torubara Publisher. В.В; 2019.
  • 17. W.-S. Yoo, O. Dmitrochenko, S.-J. Park, and O.-K. Lim, “A new thin spatial beam element using the absolute nodal coordinates: Application to a rotating strip,” Mechanics Based Design of Structures and Machines, vol. 33, pp. 399–422, 2005.
  • 18. H.-M. Hou, G.-H. Dong, T.-J. Xu, Y.-P. Zhao, and C.-W. Bi, “Dynamic analysis of embedded chains in mooring line for fish cage system,” Polish Maritime Research, vol. 25, no. 4, pp. 83‒97, 2018. DOI:10.2478/pomr-2018-0135.
  • 19. K. S. Тrunin, “The three-dimensional motion of marine tethered system at example buoy of neutral floating (in Uk,” Shipbuilding & Marine Infrastructure, vol. 11, no. 1, pp. 18‒31, 2019. DOI: https:// doi.org./10.15589/smi2019.1(11).3.
  • 20. R. Schwertassek, “Flexible bodies in multibody systems,” in Computational methods in mechanical systems: mechanism analysis, synthesis and optimization. Jorge Angeles, Evtim Zakhariev, Eds. (NATO ASI series. Series F, Computer and systems sciences; vol. 161), 1998, pp. 329–363.
  • 21. A. A. Shabana and R. Y. Yakoub, “Three dimensional absolute nodal coordinate for beam elements; Theory,” Journal of Mechanical Design, vol. 123, рp. 606‒621, 2001.
  • 22. V. Blintsov and K. Trunin, “Improving the designing of marine tethered systems using the principles of Shipbuilding 4.0,” Eastern-European Journal of Enterprise Technologies, vol. 1/13 (109), pp. 35‒48, 2021. DOI: 10.15587/1729-4061.2021.225512.
  • 23. V. Blintsov, K. Trunin, and W. Tarelko, “Determination of additional tension in towed streamer cable triggered by collision with underwater moving object,” Abstract Book the 2nd Mediterranean Geosciences Union Annual Meeting (MedGu 2022). 27-30 November 2022. Marrakech, Morocco. Springer – Publishing Partner.
  • 24. V. Blintsov, K. Trunin, and W. Tarelko, “Determination of additional tension in towed streamer cable triggered off by collision with underwater moving object,” Polish Maritime Research, vol. 27, no. 2, pp. 58‒68, 2020.
  • 25. K. S Trunin, “Mathematical model of two interconnected elements of a flexible connection in a marine mooring system” (in Russian). Collection of scientific works of NUK, №2, pp. 3–10, 2017. DOI: 10.15589/jnn20170201.
  • 26. K. S. Trunin, “Mathematical model of the dynamics of a marine mooring system taking into account the influence of flexural stiffness of the flexible connection (in Ukrainian),” Shipbuilding & Marine Infrastructure, vol. 15, no. 1, pp. 4‒23, 2021. DOI: https:// doi.org./10.15589/smi2021.1(15).1.
  • 27. K. S. Trunin, “Application of a specialized modeling toolkit for the design of marine mooring systems with flexible connections (in Ukrainian)” Collection of scientific works of NUK, №1, pp 3‒13, 2021. DOI: https:/doi.org/10.15589/ znp2021.1(484).2.
Uwagi
Opracowanie rekordu ze środków MNiSW, umowa nr SONP/SP/546092/2022 w ramach programu "Społeczna odpowiedzialność nauki" - moduł: Popularyzacja nauki i promocja sportu (2024).
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-7cebbd42-3b1f-4288-a778-d936474c71d5
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