Computers and Concrete

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Arrival direction effects of travelling waves on nonlinear seismic response of arch dams

  • Akkose, Mehmet (Department of Civil Engineering, Karadeniz Technical University)
  • Received : 2015.12.05
  • Accepted : 2016.04.06
  • Published : 2016.08.25
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Abstract

The aim of this study is to investigate arrival direction effects of travelling waves on non-linear seismic response of arch dams. It is evident that the seismic waves may reach on the dam site from any direction. Therefore, this study considers the seismic waves arrive to the dam site with different angles, ${\theta}=0^{\circ}$, $15^{\circ}$, $30^{\circ}$, $45^{\circ}$, $60^{\circ}$, $75^{\circ}$, and $90^{\circ}$ for non-linear analysis of arch dam-water-foundation interaction system. The N-S, E-W and vertical component of the Erzincan earthquake, on March 13, 1992, is used as the ground motion. Dam-water-foundation interaction is defined by Lagrangian approach in which a step-by-step integration technique is employed. The stress-strain behavior of the dam concrete is idealized using three-dimensional Drucker-Prager model based on associated flow rule assumption. The program NONSAP is employed in response calculations. The time-history of crest displacements and stresses of the dam are presented. The results obtained from non-linear analyses are compared with that of linear analyses.

Keywords

References

  1. Akkas, N., Akay, H.U. and Yilmaz, C. (1979), "Applicability of general-purpose finite element programs in solid-fluid interaction problems", Comput. Struct., 10(5), 773-783. https://doi.org/10.1016/0045-7949(79)90041-5
  2. Akkose, M., Adanur, S., Bayraktar, A. and Dumanoglu, A.A. (2008), "Elasto-plastic earthquake response of arch dams including fluid-structure interaction by the Lagrangian approach", Appl. Math. Model., 32(11), 2396-2412. https://doi.org/10.1016/j.apm.2007.09.014
  3. Akkose, M., Bayraktar, A. and Dumanoglu, A.A. (2008), "Reservoir water level effects on nonlinear dynamic response of arch dams", J. Fluid. Struct., 24(3), 418-435. https://doi.org/10.1016/j.jfluidstructs.2007.08.007
  4. Akpinar, U., Binici, B. and Arici, Y. (2014), "Earthquake stresses and effective damping in concrete gravity dams", Earthq. Struct., 6(3), 251-266. https://doi.org/10.12989/eas.2014.6.3.251
  5. Altunisik, A.C. and Sesli, H. (2015), "Dynamic response of concrete gravity dams using different water modelling approaches: westergaard, lagrange and euler", Comput. Concrete, 16(3), 429-448. https://doi.org/10.12989/cac.2015.16.3.429
  6. Bathe, K.J. (1996), Finite element procedures in engineering analysis, Prentice-Hall, Englewood Cliffs, New Jersey.
  7. Bathe, K.J., Wilson, E.L. and Iding, R. (1974), "NONSAP: A structural analysis program for static and dynamic response of nonlinear systems", Struct. Eng. Struct. Mech., Department of Civil Engineering, Report No. UC SESM 74-3, University of California, Berkeley, California.
  8. Bayraktar, A., Hancer, E. and Akkose, M. (2005), "Influence of base-rock characteristics on the stochastic dynamic response of dam-reservoir-foundation systems", Eng. Struct, 27(10), 1498-1508. https://doi.org/10.1016/j.engstruct.2005.05.004
  9. Calayir, Y. and Dumanoglu, A.A. (1993), "Static and dynamic analysis of fluid and fluid-structure systems by the Lagrangian method", Comput. Struct., 49(4), 625-632. https://doi.org/10.1016/0045-7949(93)90067-N
  10. Calayir, Y., Dumanoglu, A.A. and Bayraktar, A. (1996), "Earthquake analysis of gravity dam-reservoir systems using the Eulerian and Lagrangian approaches", Comput. Struct., 59(5), 877-890. https://doi.org/10.1016/0045-7949(95)00309-6
  11. Calciati, F., Castoldi, A., Ciacci, R. and Fanelli, M. (1979), "Experience gained during in situ artificial and natural dynamic excitation of large concrete dams in Italy", Analytical interpretation of results, Trans. COLD Congress, New Delhi, 4, Q51, R32.
  12. Camara, R.J. (2000), "A method for coupled arch dam-foundation-reservoir seismic behaviour analysis", Earthq. Eng. Struct. Dy., 29(4), 441-460. https://doi.org/10.1002/(SICI)1096-9845(200004)29:4<441::AID-EQE916>3.0.CO;2-B
  13. Chen, W.F. and Mizuno, E. (1990), Nonlinear analysis in soil mechanics, Elsevier Science Publishers B. V., Amsterdam, Netherlands.
  14. Chopra, A.K. (1995), Dynamics of structures, Prentice-Hall, New Jersey, USA.
  15. Chopra, A.K. and Wang, J.T. (2010), "Earthquake response of arch dams to spatially varying ground motion", Earthq. Eng. Struct. Dy., 39(8), 887-906. https://doi.org/10.1002/eqe.974
  16. Clough, R.W., and Penzien, J. (1993), Dynamics of Structures, Second Edition, McGraw-Hill Book Company, Singapore.
  17. Dowling, M.J. and Hall, J.F. (1989), "Nonlinear seismic analysis of arch dams", J. Eng. Mech., 115(4), 768-789. https://doi.org/10.1061/(ASCE)0733-9399(1989)115:4(768)
  18. Drucker, D.C. and Prager, W. (1952), "Soil mechanics and plastic analysis on limit design", Q. J. Appl. Math., 10(2), 157-165. https://doi.org/10.1090/qam/48291
  19. Espandar, R. and Lotfi, V. (2003), "Comparison of non-orthogonal smeared crack and plasticity models for dynamic analysis of concrete arch dams", Comput. Struct., 81(14), 1461-1474. https://doi.org/10.1016/S0045-7949(03)00083-X
  20. Fok, K.L. and Chopra, A.K. (1986), "Earthquake analysis of arch dams including dam-water interaction, reservoir boundary absorption and foundation flexibility", Earthq. Eng. Struct. Dy., 14(2), 155-184. https://doi.org/10.1002/eqe.4290140202
  21. Fok, K.L. and Chopra, A.K. (1986), "Hydrodynamic and foundation flexibility effects in earthquake response of arch dams", J. Struct. Eng., 112(8), 1810-1828. https://doi.org/10.1061/(ASCE)0733-9445(1986)112:8(1810)
  22. Fok, K.L., and Chopra, A.K. (1985), "Earthquake analysis and response of concrete arch dams", Earthquake Engineering Research Center Report No. UCB/EERC-85/07, University of California, Berkeley, California.
  23. Greeves, E.J. (1991), "The modelling and analysis of linear and nonlinear fluid-structure systems with particular reference to concrete dams", Ph.D. Thesis, Department of Civil Engineering, University of Bristol.
  24. Hall, J.F. (1998), "Efficient non-linear seismic analysis of arch dams", Earthq. Eng. Struct. Dy., 27(12), 1425-1444. https://doi.org/10.1002/(SICI)1096-9845(199812)27:12<1425::AID-EQE793>3.0.CO;2-H
  25. Hamdan, F.H. (1999), "Near-field fluid-structure interaction using Lagrangian fluid finite elements", Comput. Struct., 71(2), 123-141. https://doi.org/10.1016/S0045-7949(98)00298-3
  26. Hariri-Ardebili, M.A., Seyed-Kolbadi, S.M. and Mirzabozorg, H. (2013), "A smeared crack model for seismic failure analysis of concrete gravity dams considering fracture energy effects", Struct. Eng. Mech., 48(1), 17-39. https://doi.org/10.12989/sem.2013.48.1.017
  27. ICE (1968), "Arch dams: A review of British research and development", Proceedings of the Symposium Held at the Institution of Civil Engineers, 20-21 March, London, England.
  28. Khaled, A., Tremblay R. and Massicotte, B. (2006), "Assessing the adecuacy of the 30% combination rule in estimating the critical response of bridge piers under multi-directional earthquake components", Proceedings of the 7th International Conference on Short&Medium Span Bridges, Paper No. SD-014-1, Monreal, Canada.
  29. Kuo, J.S.H. (1982), "Joint opening nonlinear mechanism: interface smeared crack model", Earthquake Engineering Research Center, Report No. UCB/EERC-82/10, University of California, Berkeley, California, 1982.
  30. Lotfi, V. and Samii, A. (2012), "Dynamic analysis of concrete gravity dam-reservoir systems by wavenumber approach in the frequency domain", Eartq. Struct., 3(3), 533-548. https://doi.org/10.12989/eas.2012.3.3_4.533
  31. Maeso, O., Aznarez, J.J. and Dominguez, J. (2002), "Effects of space distribution of excitation on seismic response of arch dams", J. Eng. Mech, 128(7), 759-768. https://doi.org/10.1061/(ASCE)0733-9399(2002)128:7(759)
  32. Mays, J.R., Dollar, D.A. and Roehm, L.H. (1989), "A concrete cracking analysis for the proposed arch raise of Roosevelt dam", Comput. Struct., 32(3/4), 679-689. https://doi.org/10.1016/0045-7949(89)90356-8
  33. Olson, L.G. and Bathe, K.J. (1983), "A study of displacement-based fluid finite elements for calculating frequencies of fluid and fluid-structure systems", Nucl. Eng. Des., 76(2), 137-151. https://doi.org/10.1016/0029-5493(83)90130-9
  34. Papaleontiou, C.G. and Tassoulas, J.L. (2012), "Evaluation of dam strength by finite element analysis", Earthq. Struct., 3(3), 457-471. https://doi.org/10.12989/eas.2012.3.3_4.457
  35. PEER: Pacific earthquake engineering research center (2015), http://ngawest2.berkeley.edu.
  36. Perumalswami, P.R. and Kar, L. (1973), "Earthquake behavior of arch dams-reservoir systems", Proceedings of the Fifth World Conference on Earthquake Engineering, Rome.
  37. Sohrabi-Gilani, M. and Ghaemian, M. (2012), "Spatial variation input effects on seismic response of arch dams", Sci. Iranica, 19(4), 997-1004. https://doi.org/10.1016/j.scient.2012.06.006
  38. Szczesiak, T., Weber, B. and Bachmann, H. (1999), "Nonuniform earthquake input for arch dam-foundation interaction", Soil Dy. Earthq. Eng., 18(7), 487-493. https://doi.org/10.1016/S0267-7261(99)00021-4
  39. Tan, H. and Chopra, A.K. (1995a), "Earthquake analysis of arch dams including dam-water-foundation rock interaction", Earthq. Eng. Struct. Dy., 24(11), 1453-1474. https://doi.org/10.1002/eqe.4290241104
  40. Tan, H. and Chopra, A.K. (1995b), "Dam-foundation rock interaction effects in frequency-response functions of arch dams", Earthq. Eng. Struct. Dy., 24(11), 1475-1489. https://doi.org/10.1002/eqe.4290241105
  41. Valliappan, S., Yazdchi, M. and Khalili, N. (1999), "Seismic analysis of arch dams-a continuum damage mechanics approach", Int. J. Numer. Method. Eng., 45(11), 1695-1724. https://doi.org/10.1002/(SICI)1097-0207(19990820)45:11<1695::AID-NME651>3.0.CO;2-2
  42. Wang, J.T. and Chopra, A.K. (2010), "Linear analysis of concrete arch dams including dam-waterfoundation rock interaction considering spatially-varying ground motions", Earthq. Eng. Struct. Dy., 39(7), 731-750. https://doi.org/10.1002/eqe.968
  43. Wang, J.T., Lv, D.D., Jin, F. and Zhang, C.H. (2013), "Earthquake damage analysis of arch dams considering dam-water-foundation interaction", Soil Dy. Earthq. Eng., 49, 64-74. https://doi.org/10.1016/j.soildyn.2013.02.006
  44. Wang, J.T., Zhang, C.H. and Jin, F. (2012), "Nonlinear earthquake analysis of high arch dam-water-foundation rock systems", Earthq. Eng. Struct. Dy., 41(7), 1157-1176. https://doi.org/10.1002/eqe.1178
  45. Zienkiewicz, O.C. and Bettess, P. (1978), "Fluid-structure dynamic interaction and wave forces. An introduction to numerical treatment", Int. J. Numer. Method. Eng., 13(1), 1-16. https://doi.org/10.1002/nme.1620130102
  46. Zienkiewicz, O.C. and Taylor, R.L. (1989), The finite element method, I, Mc Graw-Hill.

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