Influence of rope fastening on the spectrum of its natural transverse vibrations

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Аннотация

According to the previously developed method, which takes into account the bending stiffness of steel ropes during their transverse oscillation, the ropes of the pedestrian bridge ‘Lovers’ in the city of Tyumen were investigated. The obtained values of tension forces and bending stiffness were within the expected range. The high variation of bending stiffness values forced to pay attention to the accuracy of the initial values of rope lengths, which were obtained from the photograph. To measure the rope lengths, a method of nodal harmonic registration was proposed, but the results obtained by this method were higher than the values obtained from the photograph. The evaluation of measurement errors did not explain this overestimation, which led to the necessity to revise the solution of the differential equation of transverse oscillations. It turned out that previously only its partial solution was considered, assuming a hinged rope attachment, whereas it is cantilevered and has a bending reaction. Taking this feature into account by introducing an additional boundary condition allowed to improve the calculation model and explain the overestimation of the rope length in the method of nodal harmonics.
Taking into account the nature of the rope attachment allowed us to introduce a generalised parameter s, which takes zero value for rigid cantilever attachment, and is equal to one for articulated attachment. Then the stiffness weakening inside the anchorage will be manifested by the growth of the parameter s and can be detected by the results of the oscillation spectrum registration.

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Авторлар туралы

Kamil Muratov

Industrial University of Tyumen; LTD «ALPHA SYSTEMS»

Хат алмасуға жауапты Автор.
Email: muratows@mail.ru
Ресей, 625000, Tyumen, Volodarsky Street, 38; 625019, Tyumen, Respublika Street, 204

Danil Likhachev

Industrial University of Tyumen

Email: tiger.lowe2015@yandex.ru
Ресей, 625000, Tyumen, Volodarsky Street, 38

Roman Sokolov

Industrial University of Tyumen; LTD «ALPHA SYSTEMS»

Email: falcon.rs@mail.ru
Ресей, 625000, Tyumen, Volodarsky Street, 38; 625019, Tyumen, Respublika Street, 204

Anna Chekhunova

Industrial University of Tyumen

Email: chehunovaam@tyuiu.ru
Ресей, 625000, Tyumen, Volodarsky Street, 38

Marina Osintseva

Industrial University of Tyumen

Email: osintsevama@tyuiu.ru
Ресей, 625000, Tyumen, Volodarsky Street, 38

Alexei Vaganov

Industrial University of Tyumen; CJSC «NPC «Sibneftegazdiagnostika»

Email: vaganov@sngd.ru
Ресей, 625000, Tyumen, Volodarsky Street, 38; 625026, Tyumen, Rizhskaya Street, 45a

Әдебиет тізімі

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Қосымша файлдар

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Әрекет
1. JATS XML
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2. Fig. 1. The "Lovers" pedestrian bridge in Tyumen.

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3. Fig. 2. Defects in the outer layer of the ropes.

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4. Fig. 3. The location of the ropes relative to the pylon (left) and the diagram of their fastening to the bridge deck (right).

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5. Fig. 4. Diagram of the bridge ropes.

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6. Fig. 5. Dependence of ν2/n2 on n2 for the ropes of the river section of the bridge (a) and the coastal (b).

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7. Fig. 6. The obtained values of the tension force (a) and bending rigidity (b) of the bridge ropes in their river and coastal parts.

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8. Fig. 7. The distribution diagram of the vibration amplitude of three adjacent harmonics near the rope fastening point.

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9. Fig. 8. The nature of the RMS spectrogram of the vibration velocity of rope No. 2 for points with a distance of 4 and 7 m from the clamp.

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10. Fig. 9. Dependence of the coordinate of the nodal point x on the ratio m/n for rope No. 2 (a) and a similar dependence for all ten quadruples of ropes at m = 1 (b).

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11. Fig. 10. Rope fastening.

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12. Fig. 11. Rope lengths determined from a photograph and by the method of recording nodal points.

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13. Fig. 12. Diagram of the distribution of the amplitude of rope oscillations U0 for the case of its rigid fastening.

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14. Fig. 13. Model dependence of ν2/n2 on n2.

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15. Fig. 14. The nature of the influence of the parameter s on the calculated values of the tension force (a) and bending rigidity (b) for different discretization of the recorded frequencies.

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