Top

Archive of Applied Mechanics

Published in:

20-02-2020 | Original

Dynamic response of cable-stayed bridges due to sudden failure of stays: the 3D problem

Authors: George T. Michaltsos, Dimitrios S. Sophianopoulos, Tassos P. Avraam

Published in: Archive of Applied Mechanics | Issue 7/2020

Activate our intelligent search to find suitable subject content or patents.

search-config

AI-assisted search

Off

Abstract

This paper studies analytically the problem of the sudden failure of a number of stays through a suitable mathematical model, based on the analytical method exposed by authors in previous publications and extended in this study through a 3D analysis. The analysis is carried out by the modal superposition method, and the gathered equations of the problem are solved through the Galerkin procedure and the Duhamel’s Integrals. Characteristic examples are solved and useful diagrams and plots are drawn, while interesting results are obtained.

next article Time-dependent behavior of laminated functionally graded beams bonded by viscoelastic interlayer based on the elasticity theory

Dont have a licence yet? Then find out more about our products and how to get one now:

Springer Professional "Wirtschaft+Technik"

Online-Abonnement

Mit Springer Professional "Wirtschaft+Technik" erhalten Sie Zugriff auf:

über 102.000 Bücher
über 537 Zeitschriften

aus folgenden Fachgebieten:

Automobil + Motoren
Bauwesen + Immobilien
Business IT + Informatik
Elektrotechnik + Elektronik
Energie + Nachhaltigkeit
Finance + Banking
Management + Führung
Marketing + Vertrieb
Maschinenbau + Werkstoffe
Versicherung + Risiko

Jetzt Wissensvorsprung sichern!

inform now

Springer Professional "Technik"

Online-Abonnement

Mit Springer Professional "Technik" erhalten Sie Zugriff auf:

über 67.000 Bücher
über 390 Zeitschriften

aus folgenden Fachgebieten:

Automobil + Motoren
Bauwesen + Immobilien
Business IT + Informatik
Elektrotechnik + Elektronik
Energie + Nachhaltigkeit
Maschinenbau + Werkstoffe

Jetzt Wissensvorsprung sichern!

inform now

Fleming, J.F.: Non-linear static analysis of cable-stayed bridge structures. Comput. Struct. 10(4), 986–1000 (1979). https://doi.org/10.1016/0045-7949(79)90006-3 CrossRef

Kollbruner, C.F., Hajdin, N., Stipanic, B.: Contribution to the analysis of cable-stayed bridges. Institute for Engineering Research Editions, Schulthess Verlag Zürich, N.48 (1980)

Bruno, D., Grimaldi, A.: Non-linear behavior of long-span cable-stayed bridges. Meccanica 20(4), 303–313 (1985). https://doi.org/10.1007/BF0235268 CrossRef

Gimsing, N., Georgakis, C.H.T.: Cable Supported Bridges: Concept and Design, 3rd edn. Wiley, Chichester (2012)

Khalil, M.S.: Non-linear analysis of cable-stayed bridges at ultimate load level. Can. J. Civ. Eng. 23(5), 1111–1117 (1999). https://doi.org/10.1139/l96-918 CrossRef

Virgoreux, M.: Recent evolution on cable-stayed bridges. Eng. Struct. 21(8), 737–755 (1999). https://doi.org/10.1016/S0141-0296(98)00028-5 CrossRef

Michaltsos, G.T., Ermopoulos, J.C., Konstantakopoulos, T.G.: Preliminary design of cable-stayed bridges for vertical static loads’. Struct. Eng. Mech. 16(1), 1–15 (2003). https://doi.org/10.12989/sem.2003.16.1.00 CrossRef

Freire, A.M.S., Negräo, J.H.O., Lopez, A.V.: Geometrical non-linearities on the static analysis of highly flexible steel cable-stayed bridges. Comput. Struct. 84(31–32), 2128–2140 (2006). https://doi.org/10.1016/j.compstruc.2006.08.047 CrossRef

Fleming, J.F., Egeseli, E.A.: Dynamic behavior of a cable-stayed bridge. Earthq. Eng. Struct. D. 8(1), 1–16 (1980). https://doi.org/10.1002/eqe.4290080102 CrossRef

10.

Nazmy, A.S., Abdel-Ghaffar, A.M.: Non-linear earthquake response analysis of long-span cable- stayed bridges: Theory. Earthq. Eng. Struct. D. 19(1), 45–62 (1990). https://doi.org/10.1002/eqe.4290190106 CrossRef

11.

Abdel-Ghaffar, A.M., Khalifa, M.A.: Importance of cable vibration in dynamics of cable-stayed bridges. J. Eng. Mech. ASCE 117(11), 2571–2589 (1991). https://doi.org/10.1061/(ASCE)0733-9399(1991)117:11(2571) CrossRef

12.

Chatterjee, P.K., Datta, T.K., Suruna, C.S.: Vibration of cable-stayed bridges under moving vehicles. Struct. Eng. Int. 4(2), 116–121 (1994). https://doi.org/10.2749/101686694780650887 CrossRef

13.

Bruno, D., Colotti, V.: Vibration analysis of cable-stayed bridges. Struct. Eng. Int. 4(1), 23–28 (1994). https://doi.org/10.2749/101686694780602187 CrossRef

14.

Achkire, Y., Preumont, A.: Active tendon control of cable-stayed bridges. Earthq. Eng. Struct. D. 25(6), 585–597 (1996). https://doi.org/10.1002/(SICI)1096-9845(199606)25:6<585::AID-EQE570>3.0.CO;2-I CrossRef

15.

Michaltsos, G.T.: A simplified model for the dynamic analysis of cable-stayed bridges. Facta Universitatis 3(11), 185–204 (2001)MATH

16.

Konstantakopoulos, T.G., Michaltsos, G.T., Sophianopoulos, D.S.: A simplified model for the study of the lateral-torsional vibration of cable-stayed bridges. Eurodyn 2002, Munich, September (2002)

17.

Wang, P.H., Liu, M.Y., Huang, Y.T., Lin, L.C.: Influence of lateral motion of cable-stayed bridges. Struct. Eng. Mech. 34(6), 719–738 (2010). https://doi.org/10.12989/sem.2010.34.6.719 CrossRef

18.

Ermopoulos, J., Vlahinos, A., Yang-Cheng, Wang: Stability analysis of cable-stayed bridges. Comput. Struct. 44(5), 1083–1089 (1992). https://doi.org/10.1016/0045-7949(92)90331-S CrossRef

19.

Bosdogianni, A., Olivari, D.: Wind-induced and Rain-induced oscillations of cable-stayed bridges. J. Wind Eng. Ind. Aerod. 64(2–3), 171–185 (1997). https://doi.org/10.1016/S0167-6105(96)00089-X CrossRef

20.

Michaltsos, G.T.: Stability of a cable-stayed bridge’s pylon, under time-depended loading (2005). Collection of papers in memory of Academician P.S. Theocharis. Institution of Mechanics Problems and Academy of Sciences, Russia, Inst. Of Mechanics of Nat. Acad. of Sciences, Armenia

21.

Michaltsos, G.T., Raftoyiannis, I.G., Konstantakopoulos, T.G.: Dynamic stability of cable-stayed bridge pylons. Int. J. Struct. Stab. Dyn. 8(4), 627–643 (2008). https://doi.org/10.1142/S021945540800282X MathSciNetCrossRefMATH

22.

S.E.T.R.A. Haubans: Recommandations de la Commission Interministérielle de la Précontrainte, Service d’ Etudes Techniques des Routes et Autoroutes; France (2001)

23.

P.T.I.: Recommandations for stay cable design, testing and installation. Post-Tensioning Institute, USA (2007)

24.

Mozos, C.M.: Theoretical and experimental study on the structural response of cable stayed bridges to a stay failure. PhD Dissertation, Universidad de Castilla-La Manche, Spain (2002)

25.

Del Olmo, C.M.M, Bengoechea, A.C.A.: Cable stayed bridges. Failure of a stay: Dynamic and pseudo-dynamic analysis of structural behaviour. In: Proceedings of the 3rd International Conference on Bridge Maintenance, Safety and Management- Life-Cycle Performance and Cost, The Netherlands (2002)

26.

Mozos, C.M., Aparicio, A.C.: Parametric study on the dynamic response of cable stayed bridges to the sudden failure of a stay, Part I: Bending moment acting on the deck. Eng. Struct. 32(10), 3288–3300 (2010). https://doi.org/10.1016/j.engstruct.2010.07.003 CrossRef

27.

Mozos, C.M., Aparicio, A.C.: Parametric study on the dynamic response of cable stayed bridges to the sudden failure of a stay, Part II: Bending moment acting on the pylons and stress on the stays. Eng. Struct. 32(10), 3301–3312 (2010). 10.1016/j.engstruct.2010.07.002CrossRef

28.

Mozos, C.M., Aparicio, A.C.: Static strain energy and dynamic amplification factor on multiple degree of freedom systems. Eng. Struct. 31(11), 2756–2765 (2009). https://doi.org/10.1016/j.engstruct.2009.07.003 CrossRef

29.

Ruiz-Teran, A.M., Aparicio, A.C.: Dynamic amplification factors in cable-stayed structures. J. Sound Vib. 300(1–2), 197–216 (2007). https://doi.org/10.1016/j.jsv.2006.07.028 CrossRef

30.

Wolff, M., Starossek, U.: Cable loss and progressive collapse in cable-stayed bridges. Bridge Struct. 5(1), 17–28 (2009). https://doi.org/10.1080/15732480902775615 CrossRef

31.

Starossek, U.: Avoiding disproportionate collapse of major bridges. Struct. Eng. Int. 3, 289–297 (2009). https://doi.org/10.2749/101686609788957838 CrossRef

32.

Wallace, P., Alsharif, M., Hepbun, D., Zhou, C.: Failure modes of underground MW cables: Electrical and Thermal Modelling. Comcol Conference, Milan (2009)

33.

Tang, Z., Zhou, C., Zhou, W.: Analysis of significant factors on cable failure using the Cox Proportional Hazard Model. IEEE 29920, 951–957 (2014). https://doi.org/10.1109/TPWRD.2013.2287025 CrossRef

34.

Chou-Han, D.: Fracture Feature and Failure Cause Analysis of Cable Wire on Bridges. Appl. Mech. Mater. 178–181, 2472–2478 (2012). https://doi.org/10.4028/www.scientific.net/AMM.178-181.2472 CrossRef

35.

Lepidi, M., Gattulli, V., Vestroni, F.: Static and dynamic response of elastic suspended cables with damage. Int. J. Solids Struct. 44(25), 8194–8212 (2007). https://doi.org/10.1016/j.ijsolstr.2007.06.009 CrossRefMATH

36.

Mapelli, C., Barella, S.: Failure analysis of a cableway rope. Eng. Fail. Anal. 16(5), 1666–1673 (2009). https://doi.org/10.1016/j.engfailanal.2008.12.011 CrossRef

37.

Mahmoud, K.M.: Fracture strength for a high strength steel bridge cable wire with a surface crack. Theor. Appl. Fract. Mec. 48(2), 152–160 (2007). https://doi.org/10.1016/j.tafmec.2007.05.006 CrossRef

38.

Li, C.X., Tang, X.S., Xiang, G.B.: Fatigue crack growth of cable steel wires in a suspension bridge: multiscaling and mesoscopic fracture mechanics. Theor. Appl. Fract. Mec. 53(2), 113–126 (2019). https://doi.org/10.1016/j.tafmec.2010.03.002 CrossRef

39.

Materazzi, A.L., Ubertini, F.: Eigenproperties of suspension bridges with damage. J. Sound Vib. 330(26), 6420–6434 (2011). https://doi.org/10.1016/j.jsv.2011.08.007 CrossRef

40.

Greco, T., Lonetti, P., Pascuzzo, A.: Dynamic analysis of cable-stayed bridges affected by accidental failure mechanisms under moving loads. Math. Probl. Eng. (2013). https://doi.org/10.1155/2013/302706 MathSciNetCrossRef

41.

Lonetti, P., Pascuzzo, A.: Vulnerability and failure analysis of hybrid cable-stayed suspension bridges subjected to damage mechanisms. Eng. Fail. Anal. 45, 470–495 (2014). https://doi.org/10.1016/j.engfailanal.2014.07.002 CrossRef

42.

Aoki, Y., Valipour, H., Samali, B., Saleh, A.: A study on potential progressive collapse responses of cable-stayed bridges. Adv. Struct. Eng. 16(4), 689–706 (2013). https://doi.org/10.1260/1369-4332.16.4.689 CrossRef

43.

Raftoyiannis, I.G., Konstantakopoulos, T.G., Michaltsos, G.T.: Dynamic response of cable-stayed bridges, subjected to sudden failure of stays–the 2D problem. Coupled Syst. Mech. 3(4), 345–365 (2014). https://doi.org/10.12989/csm.2014.3.4.345 CrossRef

44.

Konstantakopoulos, T.G.: Static and Dynamic problems in C-S-Bridges. Ph.D. Dissertation, Athens, Greece (2004)

45.

Petalas, J.M., Konstantakopoulos, T.G.: The effect of the horizontal components of the cable forces on the static analysis of cable-stayed bridges. In: Proceedings of the 5th National Conference on Metal Structures. Xanthi, Greece (2005)

46.

Michaltsos, G.T., Raftoyiannis, I.G.: Bridges’ Dynamics (e-Book), eISBN: 978-1-60805-220-2, Bentham (2011)

Title: Dynamic response of cable-stayed bridges due to sudden failure of stays: the 3D problem
Authors: George T. Michaltsos
Dimitrios S. Sophianopoulos
Tassos P. Avraam
Publication date: 20-02-2020
Publisher: Springer Berlin Heidelberg
Published in: Archive of Applied Mechanics / Issue 7/2020
Print ISSN: 0939-1533
Electronic ISSN: 1432-0681
DOI: https://doi.org/10.1007/s00419-020-01676-5

Springer Professional

Abstract

Please log in to get access to your license.

Dont have a licence yet? Then find out more about our products and how to get one now:

Springer Professional "Wirtschaft+Technik"

Springer Professional "Technik"

Other articles of this Issue 7/2020

Time-dependent behavior of laminated functionally graded beams bonded by viscoelastic interlayer based on the elasticity theory

Deployment dynamical behavior of planetary rover mast mechanism considering geometric nonlinearity and laminated structure characteristics

Thermal and thermomechanical buckling of shear deformable FG-CNTRC cylindrical shells and toroidal shell segments with tangentially restrained edges

Universal relations in nonlinear electro-magneto-elasticity

A validation procedure to identify joint friction, reductor self-locking and gear backlash parameters

Simulation of the dynamic interaction of rail vehicle pantograph and catenary through a modal approach

Premium Partners