Experimental and computational determination of dynamic parameters of stretchable cables
Authors: Reshetnikov D.E., Kozhevnikov A.N., Matveev K.A.
Published in issue: #6(162)/2025
Category: Mechanics | Chapter: Mechanics of Deformable Solid Body
The paper is devoted to numerical and experimental study of the natural vibration frequencies of a steel cable at different levels of tensile force. During the calculations, a model of transverse string vibrations was used. Several stands were developed with the ability to measure the tension force and natural vibration frequencies of the cable. The friction losses in the designed stand bracket were experimentally estimated by monitoring the cable tension on both sides of the bracket. A study was conducted using test benches to determine the dynamic parameters of a cable of different length-gravity configurations. In addition, a comparative analysis of the experimentally obtained and calculated frequency spectra of small vibrations of a steel cable has been performed. It is concluded that it is possible to determine the levels of tensile force in the cable based on the measured values of the natural oscillation frequencies.
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References
[1] Olson L.D. Dynamic Bridge Substructure Evaluation and Monitoring. Georgetown (Virginia, USA), Turner-Fairbank Highway Research Center, 2005, 216 p.
[2] Pathirage T.S. Identification of prestress force in prestressed concrete box girder bridges using vibration based techniques: submitted in fulfilment of the requirements for the degree of Doctor of Philosophy. Pathirage Thisara Shamane. Brisbane (Queensland, Australia), 2017, 165 p.
[3] Shi L., He H., Yan W. Prestress force identification for externally prestressed concrete beam based on frequency equation and measured frequencies. Engineering Applications of Intelligent Monitoring and Control, 2014, 13 p.
[4] Minullin R.G., Akhmetova I.G., Kasimov V.A., Piunov A.A. Location monitoring with determining the location of damage and the current performance of overhead power lines. Translated from Élektricheskie Stantsii, 2022, no. 11, pp. 30–38. https://doi.org/10.1007/s10749-023-01635-4
[5] Babakov I.M. Teoriya kolebaniy [The theory of vibrations]. 3rd ed., stereotype. Moscow, Nauka Publ., 1968, 560 p.
[6] Birger I.A. Panovko Ya.G. Prochnost, ustoychivost, kolebaniya. Spravochnik v trekh tomakh. Tom 3 [Strength, stability, oscillations. Handbook in three volumes. Vol. 3]. Moscow, Mashinostroenie Publ., 1949, 547 p.
[7] EN 10385-4: Steel wire ropes.Safety. Part 4: Stranded ropes for general lifting applications. German version EN 12385-4:2002, 31 p.
[8] Reshetnikov D.E., Kozhevnikov A.N. Sopostavlenie raschetnykh podkhodov k modelirovaniyu kolebaniy trosov [Comparison of computational approaches to simulating the cable oscillations]. Intellektualnyi potentsial Sibiri. 30-ya Regionalnaya nauchnaya studencheskaya konferentsiya: sb. nauch. trudov. Novosibirsk, 23-27 dekabrya 2022 g. [Intellectual potential of Siberia. 30th Regional scientific student conference: coll. of scientific papers. Novosibirsk, December 23–27, 2022.]. In 4 parts. Novosibirsk, NSTU Publ., 2022, part 2, pp. 609–612.
[9] Tikhonov A.N., Samarsky A.A. Uravneniya matematicheskoy fiziki [Equations of mathematical physics]. Moscow, Nauka Publ., 1972, 735 p.
[10] Reshetnikov D.E., Kozhevnikov A.N. Eksperimentalnoe opredelenie chastot sobstvennykh kolebaniy stalnykh trosov [Experimental determination of natural oscillation frequencies of the steel cables]. XVI Vserossiyskaya nauchnaya konferentsiya molodykh uchenykh (g. Novosibirsk, 05-08 dekabrya 2022 g.). Sbornik nauchnykh trudov v 11 ch. Kazmina A.S. red. [XVI All-Russian Scientific Conference of Young Scientists (Novosibirsk, December 5-8, 2022). Collection of scientific papers in 11 parts. Kazmina A. S., ed.]. Novosibirsk, NSTU Publ., 2022, pp. 49–52.