Енергетична оцінка граничного стану фізично нелінійної конструкції

Заголовок (англійською): 
Energy-Based Assessment of the Ultimate Limit State of a Physically Nonlinear Structure
Автор(и): 
Перельмутер А.В.
Перельмутер М.А.
Автор(и) (англ): 
Perelmuter A.V.
Perelmuter M.A.
Ключові слова (укр): 
нелінійний аналіз, граничне навантаження, проектна комбінація навантажень, енергія деформування
Ключові слова (англ): 
nonlinear analysis, ultimate load, design load combination, strain energy
Анотація (укр): 
Стаття присвячена питанням нелінійного аналізу роботи несучих будівельних конструкцій. Вказується, що у разі нелінійного (глобального) аналізу вибір розрахункової комбінації навантажень має грунтуватися не так на локальному, але у глобальному критерії, з якого визначається склад навантажень і впливів, створюють розрахункову комбінацію. Як такий критерій запропоновано використовувати енергію деформування.
Анотація (англ): 
The paper addresses issues of nonlinear analysis of load-bearing structural members. It is proposed to use the work done by external forces as a measure for determining the ultimate load. An incremental procedure is analyzed, through which the equilibrium state curve is constructed and this work is calculated. The paper highlights the issue of numerical instability in the computational process as it approaches the failure load. As a way to address this problem, it is suggested to consider a state of the structure as ultimate when it significantly loses its ability to resist the increasing load. The algorithm for searching for dangerous load combinations relies on a plausible hypothesis that the energy-based composition of load combinations leading the system to its ultimate state, due to the global nature of energy assessments, will be the same as in the case of linear analysis.
Публікатор: 
Київський національний університет будівництва і архітектури
Назва журналу, номер, рік випуску (укр): 
Опір матеріалів і теорія споруд, 2024, номер 113
Назва журналу, номер, рік випуску (англ): 
Strength of Materials and Theory of Structures, 2024, number 113
Мова статті: 
English
Формат документа: 
application/pdf
Документ: 
8.pdf
Дата публікації: 
26 December 2024
Номер збірника: 
113
Університет автора: 
SCAD Soft Ltd., 03037, Kyiv, 3а Osvity street ;Kyiv National University of Construction and Architecture, 03680, Kyiv, 31 Povitryanykh Syl Ave
References: 
REFERENCES
  1. EN 1990:2023. Eurocode - Basis of structural and geotechnical design. – Brussels: European Committee for Standardization. – 2023. – 172 p.
  2. prEN 1992-1-1. Eurocode 2 – Design of concrete structures. Part 1-1: general rules and rules for buildings.  .
  3. Non-linear finite element analyses applicable for the design of large reinforced concrete structures / M. Engen [et al.] // European Journal of Environmental and Civil Engineering. – 2017. – Vol. 23. – P.1381–1403. – https://doi.org/10.1080/19648189.2017.1348993.
  4. Fialko S. Time history analysis of buildings and structures design models in SCAD software on multicore computers //  Proceedings of the 38th ECMS International Conference on Modelling and Simulation, June 4th-June 7th, 2024 Cracow, Poland / Grzonka Daniel [etc] (red.), Communications of the ECMS, vol. 38, No. 1, Caserta, ECMS, pp.187-193, ISBN 978-3-937436-84-5 , 2024.
  5. Fialko S.Yu., Karpilowskyi V.S. Spatial thin-walled reinforced concrete structures taking into account physical nonlinearity in SCAD software. Rod finite element. // Proceedings of the 13th International Conference “Modern building vfterials, structures and techniques”, 16-17 May 2019, Vilnius, Lithuania, pp. 728-735, 2020.
  6. Papazafeiropoulos G., Plevris V.,  Papadrakakis M.  A new energy-based structural design optimization concept under seismic actions // Frontiers in Built Environment, 2017, Vol. 3 ¾ 16 p.  Doi.10.3389/fbuil.2017.00044.
  7. Housner G. W. Limit design of structures to resistearthquakes // Proceedings of the 1st  World Conferenceon Earthquake Engineering. Berkeley, Calif., 1956.
  8. Leelataviwat S, Saewon W, Goel S.C.  Application of Energy Balance Concept in Seismic Evaluation of Structures // Journal of Structural Engineering, 2009, 135(2), pp. 113-121
  9. Moustafa A. Damage-based design earthquake loads for single-degree-offreedom inelastic structures // Journal of Structural Engineering, 2011, Vol. 137, Issue 3 ¾ pp. 456–467 .
  10. Mezgebo M.G., Lui E.M. A new methodology for energy-based seismic design of steel moment frames // Earthquake Engineering and Engineering Vibration, 2017, Vol. 16, Issue 3 ¾ pp. 131–152.
  11. E. Bojórquez, A. Reyes-Salazar, A. Terán-Gilmore, and S. Ruiz. Energy-based damage index for steel structures // Steel and Composite Structures, 2024, Vol. 10, Issue 3 ¾ pp. 331–348.
  12. Sadeghi K. Energy based structural damage index based on nonlinear numerical simulation of structures subjected to oriented lateral cyclic loading // IJCE 2011; Vol. 9 , Issue 3 ¾ pp. 155-164 URL: http://ijce.iust.ac.ir/article-1-563-en.html
  13. Uang C. M., Bertero V. V. Evaluation of seismic energy in structures // Earthquake Engineering  and Structural Dynamics. 1990. 19:1. pp. 77–90.  
  14. Szyniszewski S. (2009). Dynamic Energy Based Method for Progressive Collapse Analysis // Proceedings of the 2009 Structures Congress - Don't Mess with Structural Engineers: Expanding Our Role. ¾ Р. 1259-1268. 10.1061/41031(341)138.
  15. Szyniszewski S. Dynamic Energy Balance Approach to Progressive Collapse Prevention // IABSE Symposium Report, 2009. 96. 52-61. 10.2749/222137809796068118.
  16. Zolghadr H., Vlassis A.,  Izzuddin B. Modelling approaches for robustness assessment of multi-storey steel-composite buildings // Engineering Structures, 2013, Vol. 51 ¾ pp. 278-294. DOI. 10.1016/j.engstruct.2013.01.028.
  17. Han Yang, Hexiang Wang, Boris Jeremić. An energy-based analysis framework for soil structure interaction systems. https://dl.acm.org/toc/cstr/2022/265/C // Computers and Structures, Volume 299, Issue C Aug 2024 doi.org/10.1016/j.compstruc.2022.106758
  18. Perelmuter A.V. Repulsion criterion in estimating structural limit state // Vestnik MGSU. 2021; 16 (12)¾ pp/ 559−566.
  19. Perelmuter A.V., Slivker V.I. Numerical Structural Analysis: Models: Methods and Pitfalls.— Berlin-Heidelberg-New York: Springer Verlag, 2003.— 600 p.
  20. Perelmuter A.V., Pichugin S.F. Design Combinations of Loads for Checking Structural Reliability (Review)// Collection of scientific papers of the Ukrainian Institute of Steel Structures named after V. M. Shimanovsky, Issue 15, Kyiv: Steel Publishing House — pp. 4-47 (in Russian).
Стаття надійшла 23.09.2024