Probabilistic estimation seismic resistance of spatial steel frame under earthquake

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Relevance. By its nature, seismic action is represented by the accelerogram a pronounced multidimensional random process, generally containing six components. The calculation in the deterministic formulation does not always allow to adequately assess the reaction of the system. While the calculation in the probabilistic formulation more adequately reflects the work of the system and makes it possible to evaluate its seismic resistance with a given security. The aim of the work is to assess the actual load-carrying capacity safety margin and the taken when designing coefficient K1, taking into account the permissible damage to buildings and structures for the steel spatial frame when calculating on the seismic action. Methods. In the article, the steel spatial frame was calculated for two sets of accelerograms, with dominant frequencies close to the main frequencies of the frame's natural vibrations. Each set was synthesized as a family of unsteady random seismic impact implementations. The calculation was carried out on two-component seismic action in nonlinear dynamic formulation in the software complex LS-DYNA. Previously, the frame was designed in accordance with national standard SP 14.13330.2014 “Construction in seismic areas on the seismic action” of the design earthquake level in the software complex PC LIRA 10.8. According to the developed probabilistic method for each set the actual load-carrying capacity safety margins were obtained and the coefficients K1 were estimated. Results . An analysis of the results shows that the steel frame under consideration has a sufficiently large margin of load-carrying capacity, and the coefficient K1 is taken in norms excessively conservatively. The developed technique allows to correct the value of the accepted coefficient K1 for buildings and structures of certain structural schemes. That in its turn will increase the economic efficiency of construction in seismic areas and ensure the reliability of the designed buildings and structures.

About the authors

Oleg V. Mkrtychev

Moscow State University of Civil Engineering (National Research University)

Author for correspondence.
26 Yaroslavskoye Highway, Moscow, 129337, Russian Federation

Doctor of Technical Sciences, Professor of the Strength of Materials Department

Sergey V. Bulushev

Moscow State University of Civil Engineering (National Research University)

26 Yaroslavskoye Highway, Moscow, 129337, Russian Federation

engineer of the research center “Reliability and Seismic Stability of Structures”


  1. Mkrtychev O.V., Bulushev S.V. Actual problems of earthquake engineering. “Loleyt readings – 150”. Modern methods of calculation of reinforced concrete and stone structures by limit states (Moscow, November 30, 2018). 2018: 270–278. (In Russ.)
  2. Mkrtychev O.V., Dzhinchvelashvili G.A. Assessment of buildings and structures beyond the elastic limit at the seismic influences. Theoretical Foundation of Civil Engineering: XXI Russian-Slovak-Polish Seminar (Moscow – Archangelsk, July 3–6, 2012). 2012:177–186. (In Russ.)
  3. Mkrtychev O.V., Dzhinchvelashvili G.A., Dzerzhinskij R.I. The philosophy of multi-level design in light of the provision of seismic stability of buildings. Geology and Geophysics of the South of Russia. 2016;(1):71–81. (In Russ.)
  4. Mkrtychev O.V., Reshetov A.A. Methods of modeling the most unfavorable earthquake accelerograms. Industrial and Civil Engineering. 2013;(9):24–26. (In Russ.)
  5. Mkrtychev O.V., Reshetov A.A. Method for determining initial characteristics of the most unfavorable accelerograms for linear systems with finite number of degrees of freedom. Proceedings of Moscow State University of Civil Engineering. 2015;(8):80–91. (In Russ.)
  6. Mkrtychev O.V., Reshetov A.A. Representative set of earthquake accelerogramms for structural engineering of buildings and structures during earthquake effects. Proceedings of Moscow State University of Civil Engineering. 2017;12(7): 754–760. (In Russ.)
  7. Hallquist J.O. Livermore Software Technology Corporation (LSTC), LS-DYNA Theory Manual. 2006.
  8. Mkrtychev O.V., Dzhinchvelashvili G.A. Problemy ucheta nelineynostey v teorii seysmostoykosti (gipotezy i zabluzhdeniya) [Accounting problems of nonlinear seismic stability in the theory (hypothesis and error)]. Moscow, MGSU Publ.; 2012. (In Russ.)
  9. Bulushev S.V. Comparison of the calculation results of structures for specified accelerograms by nonlinear static and nonlinear dynamic methods. Structural Mechanics of Engineering Constructions and Buildings. 2018;14(5):39–47. (In Russ.)
  10. Dzhinchvelashvili G.A. Nelineinye dinamicheskie metody rascheta zdanii i sooruzhenii s zadannoi obespechennost'yu seismostoikosti [Nonlinear dynamic methods of calculation of buildings and structures with a given security seismic stability] (Dr. Dissertation Abstract). Moscow, MGSU Publ.; 2015. (In Russ.)
  11. Dzhinchvelashvili G.A., Bulushev S.V. Accuracy evaluation of the nonlinear static analysis method of the structures seismic resistance. Structural Mechanics of Engineering Constructions and Buildings. 2017;13(2):41–48. (In Russ.)
  12. Dzhinchvelashvili G.A., Bulushev S.V. Feasibility evaluation for a predefined seismic resistance of structures. Structural Mechanics of Engineering Constructions and Buildings. 2018;14(1):70–79. (In Russ.)
  13. Dzhinchvelashvili G.A., Bulushev S.V., Kolesnikov A.V. Nonlinear static method of analysis of seismic resistance of buildings and structures. Earthquake engineering. Constructions safety. 2016;(5):39–47. (In Russ.)
  14. Sosnin A.V. On the peculiarities of the methodology of nonlinear static analysis and its consistency with the basic normative methodology for calculating buildings and structures for the action of seismic forces. Bulletin of the South Ural University. Series: Construction Engineering and Architecture. 2016;16(1):12–19. (In Russ.)
  15. Mkrtychev O.V., Dzhinchvelashvili G.A., Busalova M.S. Normative approaches to structural design calculations in a non-linear framework. MATEC Web of Conferences. 2016;86:01018.
  16. Mkrtychev O.V., Bunov A.A., Dorozhinskiy V.B. Comparison of linear spectral and nonlinear dynamic calculation method for tie frame building structure in case of earthquakes. Proceedings of Moscow State University of Civil Engineering. 2016;(1):57–67. (In Russ.)
  17. Sosnin A.V. About refinement of the seismic-force-reduction factor (K1) and its coherence with the concept of seismic response modification in formulation of the spectrum method (in order of discussion). Bulletin of Civil Engineers. 2017;60(1):92–116. (In Russ.)
  18. Mkrtychev O.V., Bulushev S.V. Probabilistic Estimation Seismic Resistance of Plain Steel Frame. XXVIII R-P-S Seminar 2019 IOP Conf. Series: Materials Science and Engineering. 2019;661:012016.
  19. SP 14.13330.2014. Construction in seismic regions. The updated edition of SNiP II-7-81*. Moscow, 2014.
  20. SNiP II-7-81*. Construction in seismic regions. Moscow, 2000.
  21. SP 16.13330.2011. Steel structures. The updated edition of SNiP II-23–81*. Moscow, 2011.



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Copyright (c) 2020 Mkrtychev O.V., Bulushev S.V.

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