Effect of Vehicle-Bridge Interaction on the Dynamic Behavior of Bridges

Öz

In this study, dynamic behavior of single span bridges under moving sprung mass is investigated. The equation of motion of the problem under consideration is obtained as a partial differential equation with variable coefficients and solved numerically by Newmark method. In dynamic analyzes, the effects of the speed parameter, mass ratio, frequency ratio and damping ratio of the bridge on the dynamic behavior of the bridge and the vehicle are investigated. The results obtained from the analysis are presented in figures and tables. The results have shown that the parameters taken into account have a significant influence on the dynamic behavior of the bridge.

Anahtar Kelimeler

• Dynamic behavior
• Moving vehicle
• Bridge
• Resonance

TAŞIT-KÖPRÜ ETKİLEŞİMİNİN KÖPRÜLERİN DİNAMİK DAVRANIŞI ÜZERİNDEKİ ETKİSİ

Öz

Bu çalışmada, tek açıklıklı köprülerin hareketli asılı kütle etkisindeki dinamik davranışı incelenmiştir. Ele alınan probleme ait hareket denklemi değişken katsayılı kısmi türevli diferansiyel denklem şeklinde elde edilmiş ve Newmark yöntemi ile sayısal olarak çözülmüştür. Dinamik analizlerde hız parametresi, kütle oranı, frekans oranı ve köprünün sönüm oranının köprünün ve taşıtın dinamik davranışı üzerindeki etkileri araştırılmıştır. Analizlerden elde edilen sonuçlar şekiller ve tablolar halinde sunulmuştur. Sonuçlar, dikkate alınan parametrelerin köprünün dinamik davranışı üzerinde önemli bir etkiye sahip olduğunu göstermiştir.

Anahtar Kelimeler

• Dinamik Davranış
• Hareketli taşıt
• Köprü
• Rezonans

Kaynakça

1. Abu-Alshaikh, I.M. ve Almbaidin, A.A. (2020) Analytical responses of functionally graded beam under moving mass using Caputo and Caputo-Fabrizio fractional derivative models, Journal of Vibration and Control, 26(19-20), 1859-1867. doi: 10.1177/1077546320908103
2. Akin, J.E. ve Mofid, M. (1989) Numerical solution for response of beams with moving mass, Journal of Structural Engineering, 115, 120-131. doi: 10.1061/(ASCE)0733-9445(1989)115:1(120)
3. Araz, O. (2020) Effect of detuning conditions on the performance of non-traditional tuned mass dampers under external excitation, Arch. Appl. Mech., 90, 523-532. doi: 10.1007/s00419-019-01623-z
4. Araz, O. ve Kahya, V. (2018) Effects of manufacturing type on control performance of multiple tuned mass dampers under harmonic excitation, Journal of Structural Engineering & Applied Mechanics, 1(3), 117–27. doi: 10.31462/jseam.2018.03117127
5. Araz, O. ve Kahya, V. (2020) Series tuned mass dampers in control of continuous railway bridges, Struct. Eng. Mech., 73(2), 133-141. doi: 10.12989/sem.2020.73.2.133
6. Azeloğlu, C.O. ve Kural, S. (2019) Kren kirişlerinin hareketli tekil yüke maruz sönümlü Euler-Bernoulli kirişi olarak modellenmesi ve dinamik analizi, S.Ü. Müh. Bilim ve Tekn. Derg., 7(1), 49-65. doi: 10.15317/Scitech.2019.181
7. Biggs, J.M. (1964) Introduction to Structural Dynamics, McGraw-Hill, New York.
8. Ebrahimi-Mamaghani, A. Sarparast, H. ve Rezaei, M. (2020) On the vibrations of axially graded Rayleigh beams under a moving load, Applied Mathematical Modelling, 84, 554-570. doi: 10.1016/j.apm.2020.04.002

9. Esmailzadeh, E. ve Ghorashi, M. (1997) Vibration analysis of a Timoshenko beam subjected to a travelling mass, Journal of Sound and Vibration, 199(4), 615-628 doi: 10.1016/S0022-460X(96)99992-7
10. Frýba, L. (1972) Vibration of Solids and Structures under Moving Loads, Noordhoff International Publishing, Groningen.
11. Gao, Q. Wang, Z. Guo, B. ve Chen, C. (2014) Dynamic responses of simply supported girder bridges to moving vehicular loads based on mathematical methods, Mathematical Problems in Engineering, 2014, 1-22. doi: 10.1155/2014/514872
12. Green, M.F. ve Cebon, D. (1997) Dynamic interaction between heavy vehicles and highway bridges, Computers & Structures, 62(2), 253-264. doi: 10.1016/S0045-7949(96)00198-8
13. Hirzinger, B. Adam, C. ve Salcher, P. (2020) Dynamic response of a non-classically damped beam with general boundary conditions subjected to a moving mass-spring-damper system, International Journal of Mechanical Sciences, 185, 105877. doi: 10.1016/j.ijmecsci.2020.105877
14. Kahya, V. Araz, O. ve Turan, M. (2015) Resonant vibrations of two-span railway bridges under high-speed trains, Journal of Engineering and Natural Sciences, 33(2), 188-199.
15. Kahya, V. ve Araz, O. (2017) Series tuned mass dampers in train-induced vibration control of railway bridges, Struct. Eng. Mech., 61(4), 453-461. doi: 10.12989/sem.2017.61.4.453
16. Kahya, V. ve Araz, O. (2019) A sequential approach based design of multiple tuned mass dampers under harmonic excitation, Sigma J Eng & Nat Sci, 37(1), 225-239.
17. Karimi, A.H. ve Ziaei-Rad, S. (2015) Nonlinear coupled longitudinal-transverse vibration analysis of a beam subjected to a moving mass traveling with variable speed, Archive of Applied Mechanics, 85, 1941-1960. doi: 10.1007/s00419-015-1028-1
18. Kumar, C.P.S. Sujatha, C. ve Shankar, K. (2015) Vibration of simply supported beams under a single moving load: A detailed study of cancellation phenomenon, International Journal of Mechanical Sciences, 99, 40-47. doi: 10.1016/j.ijmecsci.2015.05.001
19. Mofid, M. ve Akin, J.E. (1996) Discrete Element Response of Beams with Traveling Mass, Advances in Engineering Software, 25(2-3), 321-331. doi: 10.1016/0965-9978(95)00099-2
20. Museros, P. Moliner, E. ve Martinez-Rodrigo, M.D. (2013) Free vibrations of simply-supported beam bridges under moving loads: maximum resonance, cancellation and resonant vertical acceleration, Journal of Sound and Vibration, 332, 326-345. doi: 10.1016/j.jsv.2012.08.008
21. Pesterev, A.V. Yang, B. Bergman, L.A. ve Tan, C.A. (2001) Response of elastic continuum carrying multiple moving oscillators, J. Eng. Mech., 127(3), 260-265. doi: 10.1061/(ASCE)0733-9399(2001)127:3(260)
22. Pesterev, A.V. Yang, B. Bergman, L.A. (2003) Revisiting the moving force problem, Journal of Sound and Vibration, 261, 75-91. doi: 10.1016/S0022-460X(02)00942-2
23. Stanisic, M.M. (1985) On a new theory of the dynamic behavior of the structures carrying moving masses, Ingenieur-Archiv, 55, 176-185. doi: 10.1007/BF00536412
24. Ting, E.C. Genin, J. ve Ginsberg, J.H. (1974) A general algorithm for moving mass problems, Journal of Sound and Vibration, 33(1), 49-58. doi: 10.1016/S0022-460X(74)80072-6
25. Vatan Can, S. ve Öztürk, H. (2020) Asılı kütle-yay sistemlerine sahip kompozit eğri kirişin dinamik kararlılık analizi, Uludağ University Journal of The Faculty of Engineering, 25(3), 1557-1576. doi: 10.17482/uumfd.793121
26. Wu, J.J. (2006) Study on the inertia effect of helical spring of the absorber on suppressing the dynamic responses of a beam subjected to a moving load, Journal of Sound and Vibration, 297, 981-999. doi: 10.1016/j.jsv.2006.05.011
27. Xiang, T. Zhao, R. ve Xu, T. (2007) Reliability evaluation of vehicle–bridge dynamic interaction, Journal of Structural Engineering, 133(8), 1092-1099. doi: 10.1061/%28ASCE%290733-9445%282007%29133%3A8%281092%29
28. Yang, Y.B. Yau, J.D. ve Wu, Y.S. (2004) Vehicle-bridge interaction dynamics with applications to high-speed railways, World scientific publishing, Singapore.
29. Yang, H. Chen, Z. Zhang, H. ve Fan, J. (2014) Dynamic analysis of train-rail-bridge interaction considering concrete creep of a multi-span simply supported bridge, Advances in Structural Engineering, 17(5), 709-720. doi: 10.1260/1369-4332.17.5.709
30. Yavari, A. Nouri, M. ve Mofid, M. (2002) Discrete element analysis of dynamic response of Timoshenko beams under moving mass, Advances in Engineering Software, 33, 143-153.doi: 10.1016/S0965-9978(02)00003-0
31. Yin, S.H. (2016) Vibration of a simple beam subjected to a moving sprung mass with initial velocity and constant acceleration, International Journal of Structural Stability and Dynamics, 16 1450109. doi: 10.1142/S0219455414501090