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Time-dependent analysis of cable trusses -Part II. Simulation-based reliability assessment

  • Kmet, S. (Faculty of Civil Engineering, Technical University of Kosice) ;
  • Tomko, M. (Faculty of Civil Engineering, Technical University of Kosice) ;
  • J., Brda (Faculty of Civil Engineering, Technical University of Kosice)
  • Received : 2009.12.03
  • Accepted : 2010.12.08
  • Published : 2011.04.25

Abstract

One of the possible alternatives of simulation-based time-dependent reliability assessment of pre-stressed biconcave and biconvex cable trusses, the Monte Carlo method, is applied in this paper. The influence of an excessive deflection of cable truss (caused by creep of cables and rheologic changes) on its time-dependent serviceability is investigated. Attention is given to the definition of the basic random variables and their statistical functions (basic, mutually dependent random variables such as the pre-stressing forces of the bottom and top cable, structural geometry, the Young's modulus of elasticity of the cables, and the independent variables, such as permanent load, wind, snow and thermal actions). Then, the determination of the response of the cable truss to the loading effects, and the definition of the limiting values considering serviceability of the structure are performed. The potential of the method, using direct Monte Carlo technique for simulation-based time-dependent reliability assessment as a powerful tool, is emphasized. Results obtained by the First order reliability method (FORM) are compared with those obtained by the Monte Carlo simulation technique.

Keywords

References

  1. Ahammed, M. and Melchers, R.E. (2009), "A convenient approach for estimating time-dependent structural reliability in the load space", Probabilist. Eng. Mech., 24(3), 467-472. https://doi.org/10.1016/j.probengmech.2009.01.003
  2. Benedetti, A. and Ceccoli, C. (1987), "A Monte Carlo method study on probabilistic analysis of spatial cable nets", Costruzioni Metalliche, 3-21.
  3. Ditlevsen, O. and Madsen, H.O. (1996), Structural Reliability Methods, John Wiley & Sons, Chichester.
  4. EN 1993-1-11 (2006), Eurocode 3: Design of Steel Structures, Part 1.11: Design of Structures with Tension Components, CEN, Brussels.
  5. Faber, M.H., Engelund, S. and Rackwitz, R. (2003), "Aspects of parallel wire cable reliability", Struct. Saft., 35(2), 201-225.
  6. Fishman, G.S. (1996), Monte Carlo: Concept, Algorithm and Application, Springer-Verlag, Berlin.
  7. Guan, X.L. and Melchers, R.E. (2001), "Effect of response surface parameter variation on structural reliability estimates", Struct. Saft., 23, 429-444. https://doi.org/10.1016/S0167-4730(02)00013-9
  8. Imai, K. and Frangopol, D.M. (2000), "Response prediction of geometrically non-linear structures", J. Struct. Eng., 126(11), 1348-1355. https://doi.org/10.1061/(ASCE)0733-9445(2000)126:11(1348)
  9. ISO 6946 (1996), Building Components and Building Elements, Thermal Resistance and Thermal Transmittance, Calculation Methods, ISO, Brussels.
  10. JCSS (2001), Probabilistic Model Code. Part 1 - Basis of Design.
  11. Kadlcak, J. (1995), Statics of Suspension Cable Roofs, (Ed. Balkema, A.A.), Rotterdam.
  12. Kmet, S. (1994), "Rheology of pre-stressed cable structures", Proceedings of the International Conference on Computational Structures Technology, (Eds. Papadrakakis, M. and Topping, B.H.V.), Athens, September.
  13. Kmet, S. and Tomko, M. (2011), "Time-dependent analysis of cable trusses Part I. Closed-form computational model", Struct. Eng. Mech., 38(2),
  14. Lewis, W.J. (2003), Tension Structures. Form and Behaviour, Thomas Telford.
  15. Mahadevan, S. and Raghothamachar, P. (2000), "Adaptive simulation for system reliability analysis of large structures", Comput. Struct., 77(6), 725-734. https://doi.org/10.1016/S0045-7949(00)00013-4
  16. Marek, P., Brozzetti, J. and Gustar, M. (2001), Probabilistic Assessment of Structures Using Monte Carlo Simulation, ITAM CAS, Prague.
  17. Marek, P., Gustar, M. and Anagnos, T. (1995), Simulation-based Reliability Assessment for Structural Engineers, CRC Press, Inc., Boca Raton, Florida.
  18. Melcher, J., Kala, Z., Holicky, M., Fajkus, M. and Rozlivka, L. (2004), "Design characteristics of structural steels based on statistical analysis of metallurgical products", J. Construct. Steel Res., 60(3-5), 795-808. https://doi.org/10.1016/S0143-974X(03)00144-5
  19. Melchers, R.E. (1999), Structural Reliability: Analysis and Prediction, 2nd edition, John Wiley & Sons, Chichester.
  20. Melchers, R.E., Ahammed, M. and Middleton, C. (2003), "FORM for discontinuous and truncated probability density functions", Struct. Safe., 25, 305-313. https://doi.org/10.1016/S0167-4730(03)00002-X
  21. Nowak, A.S. and Collins, K.R. (2000), Reliability of Structures, McGraw-Hill, Boston.
  22. Onoufriou, T., Dan, M. and Frangopol, D.M. (2002), "Reliability-based inspection optimization of complex structures: a brief retrospective", Comput. Struct., 80(12), 1133-1144. https://doi.org/10.1016/S0045-7949(02)00071-8
  23. Raizer, V.D. (1998) Theory of Reliability in Structural Design, ACEU Press, Moscow. (in Russian)
  24. Shi, Y., Deodatis, G. and Betti, R. (2007), "Random field-based approach for strength evaluation of suspension bridge cables", J. Struct. Eng., 133(12), 1690-1699. https://doi.org/10.1061/(ASCE)0733-9445(2007)133:12(1690)
  25. Tesar, A. and Tvrda, K. (2006), "Energy approach for analysis of nonlinear time response", Build. Res. J., 54(2), 101-122.

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