DOI QR코드

DOI QR Code

Optimum location for the belt truss system for minimum roof displacement of steel buildings subjected to critical excitation

  • Kamgar, Reza (Department of Civil Engineering, Shahrekord University) ;
  • Rahgozar, Peyman (College of Design, Construction and Planning, University of Florida)
  • Received : 2019.10.07
  • Accepted : 2020.10.22
  • Published : 2020.11.25

Abstract

Currently, there are many lateral resisting systems utilized in resisting lateral loads being produced in an earthquake. Such systems can significantly reduce the roof's displacement when placed at an optimum location. Since in the design of tall buildings, the minimum distance between adjacent buildings is important. In this paper, the critical excitation method is used to determine the best location of the belt truss system while calculating the minimum required distance between two adjacent buildings. For this purpose, the belt truss system is placed at a specific story. Then the critical earthquakes are computed so that the considered constraints are satisfied, and the value of roof displacement is maximized. This procedure is repeated for all stories; i.e., for each, a critical acceleration is computed. From this set of computed roof displacement values, the story with the least displacement is selected as the best location for the belt truss system. Numerical studies demonstrate that absolute roof displacements induced through critical accelerations range between 5.36 to 1.95 times of the San Fernando earthquake for the first example and 7.67 to 1.22 times of the San Fernando earthquake for the second example. This method can also be used to determine the minimum required distance between two adjacent buildings to eliminate the pounding effects. For this purpose, this value is computed based on different standard codes and compared with the results of the critical excitation method to show the ability of the proposed method.

Keywords

References

  1. Abbas, A. and Manohar, C. (2002), "Critical spatially-varying earthquake load models for extended structures", J. Struct. Eng., 29(1), 39-52.
  2. Abbas, A.M. (2006), "Critical seismic load inputs for simple inelastic structures", J. Sound Vib., 296(4-5), 949-967. https://doi.org/10.1016/j.jsv.2006.03.021.
  3. Abdel Raheem, S.E. (2014), "Mitigation measures for earthquake induced pounding effects on seismic performance of adjacent buildings", Bull. Earthq. Eng., 12(4), 1705-1724. https://doi.org/https://doi.org/10.1007/s10518-014-9592-2.
  4. Abdel Raheem, S.E., Fooly, M.Y.M., Abdel Shafy, A.G.A., Taha, A.M., Abbas, Y.A. and Abdel Latif, M.M.S. (2019), "Numerical simulation of potential seismic pounding among adjacent buildings in series", Bull. Earthq. Eng., 17(1), 439-471. https://doi.org/https://doi.org/10.1007/s10518-018-0455-0.
  5. Alavi, A. and Rahgozar, R. (2018), "Optimal stiffness distribution in preliminary design of tubed-system tall buildings", Struct. Eng. Mech., 65(6), 731-739. https://doi.org/10.12989/sem.2018.65.6.731.
  6. Alavi, A. and Rahgozar, R. (2019), "A simple mathematical method for optimal preliminary design of tall buildings with peak lateral deflection constraint", Int. J. Civil Eng., 17(7), 999-1006. https://doi.org/10.1007/s40999-018-0349-1.
  7. Alavi, A., Rahgozar, R., Torkzadeh, P. and Hajabasi, M.A. (2017), "Optimal design of high-rise buildings with respect to fundamental eigenfrequency", Int. J. Adv. Struct. Eng., 9(4), 365-374. https://doi.org/10.1007/s40091-017-0172-y.
  8. Arias, A. (1970), A measure of earthquake intensity: seismic design for nuclear power plants, MIT Press, Cambridge, MA, 438-483.
  9. Arora, J.S. (2012), Introduction to optimum design, Elsevier, Academic Press, USA.
  10. AS 1170.4-2007, A.S. (2007), "Structural Design Action, Part 4: Earthquake Actions in Australia".
  11. ASCE-7 (2010), "American Society of Civil Engineers for Minimum Design Loads for Buildings and Other Structures, ASCE/SEI 7-05".
  12. Barbato, M. and Tubaldi, E. (2013), "A probabilistic performance-based approach for mitigating the seismic pounding risk between adjacent buildings", Earthq. Eng. Struct. D., 42(8), 1203-1219. https://doi.org/https://doi.org/10.1002/eqe.2267.
  13. Bazrafshan, A. and Khaji, N. (2020), "Generation of synthetic accelerograms using a probabilistic critical excitation method based on energy constraint", Earthq. Struct., 18(1), 45-56. https://doi.org/https://doi.org/10.12989/eas.2020.18.1.045.
  14. Caleman, T., Branch, M.A. and Grace, A. (1999), Optimization Toolbox for the Use with Matlab: User's Guide, The Math Works Inc., USA.
  15. Canada (1995), "Institute for Research in Construction, National Building Code of Canada. National Research Council of Canada".
  16. Chandler, A., Pappin, J. and Coburn, A. (1991), "Vulnerability and seismic risk assessment of buildings following the 1989 Newcastle, Australia earthquake", Bulletin of the New Zealand National Society for Earthquake Engineering, 24(2), 116-138. https://doi.org/10.5459/bnzsee.24.2.116-138
  17. COSMOS (2009), Consortium organizations for strong-motion observation systems; http://www.strongmotioncenter.org/vdc/scripts/default.plx
  18. EAK (2000), "Greek Code for Seismic Resistant Structures".
  19. EBCS:08 (1995), "National Building Council of Ethiopia, Ethiopia Building Code Standard".
  20. ES (1988), "Egyptian Society for Earthquake Engineering: Regulations for Earthquake Resistant Design of Buildings".
  21. Favvata, M.J. (2017), "Minimum required separation gap for adjacent RC frames with potential inter-story seismic pounding", Eng. Struct., 152(643-659), https://doi.org/https://doi.org/10.1016/j.engstruct.2017.09.025
  22. FEMA:273 (1997), "Federal Emergency Management Agency (FEMA), NEHRP Guidelines for the Seismic Rehabilitation of Buildings",
  23. Feng, R., Deng, T., Lao, T., Sextos, A.G. and Yuan, W. (2020), "Theory and experimental verification of a resultant response-based method for assessing the critical seismic excitation direction of curved bridges", Eng. Struct., 216, 110713. https://doi.org/https://doi.org/10.1016/j.engstruct.2020.110713
  24. Gholizadeh, S. and Salajegheh, E. (2010), "Optimal seismic design of steel structures by an efficient soft computing based algorithm", J. Constr.Steel Res., 66(1), 85-95. https://doi.org/10.1016/j.jcsr.2009.07.006.
  25. He, W.L. and Agrawal, A.K. (2008), "Analytical model of ground motion pulses for the design and assessment of seismic protective systems", J. Struct. Eng., 134(7), 1177-1188. https://doi.org/10.1061/(ASCE)0733-9445(2008)134:7(1177).
  26. Herath, N., Haritos, N., Ngo, T. and Mendis, P. (2009), "Behaviour of outrigger beams in high rise buildings under earthquake loads", Australian Earthquake Engineering Society 2009 Conference.
  27. IBC (2003), "International Building Code, International Code Council Inc".
  28. IS-1893, I. (2007), "Indian Standard Criteria for Earthquake Resistant Design of Structures, Part-1 General Provisions and Buildings, Bureau of Indian Standards".
  29. IS:456 (2000), "Indian Standard Plain and Reinforced Concrete-Code of Practice, Bureau of Indian Standards, Fourth Revision".
  30. Jahanshahi, M.R. and Rahgozar, R. (2012), "Free vibration analysis of combined system with variable cross section in tall buildings", Struct. Eng. Mech., 42(5), 715-728. https://doi.org/10.12989/sem.2012.42.5.715.
  31. Kalkan, E. and Kunnath, S.K. (2006), "Effects of fling step and forward directivity on seismic response of buildings", Earthq. Spectra, 22(2), 367-390. https://doi.org/10.1193/1.2192560.
  32. Kamgar, R. and Rahgozar, R. (2013), "A simple approximate method for free vibration analysis of framed tube structures", Struct. Des. Tall Spec. Build., 22(2), 217-234. https://doi.org/10.1002/tal.680.
  33. Kamgar, R. and Rahgozar, R. (2015), "Determination of critical excitation in seismic analysis of structures", Earthq. Struct., 9(4), 875-891. https://doi.org/10.12989/eas.2015.9.4.875.
  34. Kamgar, R. and Rahgozar, R. (2017), "Determination of optimum location for flexible outrigger systems in tall buildings with constant cross section consisting of framed tube, shear core, belt truss and outrigger system using energy method", Int. J. Steel Struct., 17(1), 1-8. https://doi.org/10.1007/s13296-014-0172-8.
  35. Kamgar, R. and Saadatpour, M.M. (2012), "A simple mathematical model for free vibration analysis of combined system consisting of framed tube, shear core, belt truss and outrigger system with geometrical discontinuities", Appl. Math. Model., 36(10), 4918-4930. https://doi.org/10.1016/j.apm.2011.12.029.
  36. Kamgar, R., Samea, P. and Khatibinia, M. (2018), "Optimizing parameters of tuned mass damper subjected to critical earthquake", Struct. Des. Tall Spec. Build., 27(7), e1460. https://doi.org/10.1002/tal.1460.
  37. Kamgar, R., Shojaee, S. and Rahgozar, R. (2015), "Rehabilitation of tall buildings by active control system subjected to critical seismic excitation", Asian J. Civil Eng., 16(6), 819-833.
  38. Khatibinia, M., Gholami, H. and Kamgar, R. (2018), "Optimal design of tuned mass dampers subjected to continuous stationary critical excitation", Int. J. Dynam. Control, 6(3), 1094-1104. https://doi.org/10.1007/s40435-017-0386-7.
  39. Kian, P.S. (2004), "The use of outrigger and belt truss system for high-rise concrete buildings", Civil Eng. Dimension, 3(1), 36-41.
  40. Lee, D.K., Kim, J.H., Starossek, U. and Shin, S.M. (2012), "Evaluation of structural outrigger belt truss layouts for tall buildings by using topology optimization", Struct. Eng. Mech., 43(6), 711-724. https://doi.org/10.12989/sem.2012.43.6.711.
  41. Lee, D., Ha, T., Jung, M. and Kim, J. (2014), "Evaluating high performance steel tube-framed diagrid for high-rise buildings", Steel Compos. Struct., 16(3), 289-303. https://doi.org/10.12989/scs.2014.16.3.289.
  42. Malekinejad, M. and Rahgozar, R. (2011), "Free vibration analysis of tall buildings with outrigger-belt truss system", Earthq. Struct., 2(1), 89-107. https://doi.org/10.12989/eas.2011.2.1.089.
  43. Malekinejad, M., Rahgozar, R., Malekinejad, A. and Rahgozar, P. (2016), "A continuous-discrete approach for evaluation of natural frequencies and mode shapes of high-rise buildings", Int. J. Adv. Struct. Eng., 8(3), 269-280. https://doi.org/10.1007/s40091-016-0129-6.
  44. Mazinani, I., Jumaat, M.Z., Ismail, Z. and Chao, O.Z. (2014), "Comparison of shear lag in structural steel building with framed tube and braced tube", Struct. Eng. Mech., 49(3), 297-309. https://doi.org/10.12989/sem.2014.49.3.297.
  45. Mohammadnejad, M. and Haji Kazemi, H. (2018), "A new and simple analytical approach to determining the natural frequencies of framed tube structures", Struct. Eng. Mech., 65(1), 111-120. https://doi.org/10.12989/sem.2018.65.1.111.
  46. Moustafa, A. (2009), "Critical earthquake load inputs for multi-degree-of-freedom inelastic structures", J. Sound Vib., 325(3), 532-544. https://doi.org/10.1016/j.jsv.2009.03.022.
  47. Moustafa, A. (2011), "Damage-based design earthquake loads for single-degree-of-freedom inelastic structures", J. Struct. Eng., 137(3), 456-467. https://doi.org/10.1061/(ASCE)ST.1943-541X.0000074.
  48. NBC Peru E030 (2003), "National Building Code-PERU, Technical Standard of Building E.030, Earthquake Resistant Design".
  49. Rahgozar, R., Ahmadi, A.R., Hosseini, O. and Malekinejad, M. (2011), "A simple mathematical model for static analysis of tall buildings with two outrigger-belt truss systems", Struct. Eng. Mech., 40(1), 65-84. https://doi.org/10.12989/sem.2011.40.1.065.
  50. Rahgozar, R., Ahmadi, A.R. and Sharifi, Y. (2010), "A simple mathematical model for approximate analysis of tall buildings", Appl. Math. Model., 34(9), 2437-2451. https://doi.org/10.1016/j.apm.2009.11.009.
  51. Rutenberg, A. and Tal, D. (1987), "Lateral load response of belted tall building structures", Eng. Struct., 9(1), 53-67. https://doi.org/10.1016/0141-0296(87)90041-1.
  52. SAP-2000 (2014), Computers and Structures, Berkkeley, California, USA.
  53. Serbia (1981), "Ministry of Interior, Code of Technical Regulations for Design and Construction of Buildings in Seismic Region".
  54. Shinozuka, M. and Sata, Y. (1967), "Simulation of nonstationary random process", J. Eng. Mech. Div., 93(1), 11-40. https://doi.org/10.1061/JMCEA3.0000822
  55. Smith, B.S. and Salim, I. (1981), "Parameter study of outrigger-braced tall building structures", J. Struct. Div., 107(10), 2001-2014. https://doi.org/10.1061/JSDEAG.0005798
  56. Smith, B.S. and Salim, I. (1983), "Formulae for optimum drift resistance of outrigger braced tall building structures", Comput. Struct., 17(1), 45-50. https://doi.org/10.1016/0045-7949(83)90027-5.
  57. Stein, R.S. (2003), "Earthquake conversations", Scientific American, 288(1), 72-79. https://doi.org/10.1038/scientificamerican0705-82sp.
  58. Takewaki, I. (2001a), "A new method for non-stationary random critical excitation", Earthq. Eng. Struct. D., 30(4), 519-535. https://doi.org/10.1002/eqe.21.
  59. Takewaki, I. (2001b), "Nonstationary random critical excitation for acceleration response", J. Eng. Mech., 127(6), 544-556. https://doi.org/10.1061/(ASCE)0733-9399(2001)127:6(544).
  60. Takewaki, I. (2002), "Seismic critical excitation method for robust design: A review", J. Struct. Eng., 128(5), 665-672. https://doi.org/10.1061/(ASCE)0733-9445(2002)128:5(665).
  61. Takewaki, I. (2013), Critical Excitation Methods in Earthquake Engineering, Butterworth-Heinemann.
  62. Taranath, B. (1975), "Optimum belt truss location for high-rise structures", Struct. Engineer, 53(8), 18-21.
  63. Taranath, B.S. (2016), Structural Analysis and Design of Tall Buildings: Steel and Composite Construction, CRC Press.
  64. Tavakoli, R., Kamgar, R. and Rahgozar, R. (2018), "The best location of belt truss system in tall buildings using multiple criteria subjected to blast loading", Civil Eng. J., 4(6), 1338-1353. https://doi.org/10.28991/cej-0309177.
  65. Tavakoli, R., Kamgar, R. and Rahgozar, R. (2019), "Seismic performance of outrigger-belt truss system considering soil-structure interaction", Int. J. Adv. Struct. Eng., 11(1), 45-54. https://doi.org/10.1007/s40091-019-0215-7.
  66. Trifunac, M.D. and Brady, A.G. (1975), "A study on the duration of strong earthquake ground motion", Bull. Seismol. Soc. Am., 65(3), 581-626.
  67. Tubaldi, E., Barbato, M. and Ghazizadeh, S. (2012), "A probabilistic performance-based risk assessment approach for seismic pounding with efficient application to linear systems", Struct. Saf., 36-37, 14-22. https://doi.org/https://doi.org/10.1016/j.strusafe.2012.01.002.
  68. Turkey (2007), "Ministry of Public Works and Settlement, Specification for Buildings to be Built in Seismic Zones, Government of Republic of Turkey",
  69. Uniform Building Code (1997), "UBC 97",
  70. Westermo, B. (1985), "The critical excitation and response of simple dynamic systems", J. Sound Vib., 100(2), 233-242. https://doi.org/10.1016/0022-460X(85)90417-1.
  71. Wu, J. and Li, Q. (2003), "Structural performance of multi-outrigger-braced tall buildings", Struct. Des. Tall Spec. Build., 12(2), 155-176. https://doi.org/10.1002/tal.219.
  72. Zahiri-Hashemi, R., Kheyroddin, A. and Farhadi, B. (2013), "Effective number of mega-bracing, in order to minimize shear lag", Struct. Eng. Mech., 48(2), 173-193. https://doi.org/10.12989/sem.2013.48.2.173.