Preview

Building and Reconstruction

Advanced search

STRUCTURAL RELIABILITY ANALYSIS OF STEEL TRUSSES BY DEFLECTION BASED ON P-BOXES

https://doi.org/10.33979/2073-7416-2022-102-4-64-74

Abstract

The article describes algorithms for probabilistic evaluation of steel trusses’ reliability by the deflection criterion using p-boxes as models of random variables. The p-boxes are an area formed by the boundary cumulative distribution functions (CDFs). There is a real probability distribution function of a random variable inside the p-box area. Based on the presented approaches, it is possible to design trusses on a given reliability index or probability of non-failure. P-boxes as random variable models take into account aleatory and epistemological uncertainties at the same time. Such models are relevance for snow loads as one of the main factors affecting the stress-strain state of trusses. Information about the reliability level of steel trusses according to the deflection criterion is necessary for a system assessment of the reliability of a truss. An approach of structural reliability analysis is also proposed for existing trusses, where the ultimate deflection is limited by the condition of buckling of the selected truss bar.

About the Authors

Anastasia An. Solovyeva
Vologda State University
Russian Federation


Sergey Al. Solovyev
Vologda State University
Russian Federation


Nina P. Umnyakova
Research institute of construction physics RAASN (NIISF RAASN)
Russian Federation


Alexander Al. Kochkin
Vologda State University
Russian Federation


References

1. Мкртычев О.В., Райзер В.Д. Теория надежности в проектировании строительных конструкций. М: Издательство АСВ, 2016. 908 с

2. Faes M.G., Daub M., Marelli S., Patelli E., Beer M. Engineering analysis with probability boxes: a review on computational methods // Structural Safety. 2021. Vol. 93. Pp. 102092

3. Dar M.A., Subramanian N., Dar A.R., Raju J. Rehabilitation of a distressed steel roof truss - A study // Structural Engineering and Mechanics. 2017. Vol. 62. No. 5. Pp. 567-576

4. Туманов В.А., Абрашитов В.С., Туманов А.В., Абрашитов Н.В. Натурные испытания подстропильной стальной фермы пролетом 12 м // Региональная архитектура и строительство. 2013. № 3. С. 82-85

5. Farkas J., Jarmai K. Optimum Design of Steel Structures. Berlin: Springer-Verlag Berlin Heidelberg, 2013. 265 p

6. Соловьева А.А., Соловьев С.А. Метод оценки надежности элементов плоских ферм на основе р-блоков // Вестник МГСУ. 2021. Т. 16. №. 2. С. 153-167

7. Шпете Г. Надежность несущих строительных конструкций. Пер. с нем. О.О. Андреева. М.: Стройиздат, 1994. 288 с

8. Motra H.B., Hildebrand J., Dimmig-Osburg A. Assessment of strain measurement techniques to characterise mechanical properties of structural steel // Engineering Science and Technology, an International Journal. 2014. Vol. 17. No. 4. Pp. 260-269

9. Hance B.M. Practical application of the hole expansion test // SAE International Journal of Engines. 2017. Vol. 10. No. 2. Pp. 247-257

10. Huang X., Li Y., Zhang Y., Zhang X. A new direct second-order reliability analysis method // Applied Mathematical Modelling, 2018. Vol. 55. Pp. 68-80

11. Grandhi R.V., Wang L. Reliability-based structural optimization using improved two-point adaptive nonlinear approximations // Finite Elements in Analysis and Design. 1998. Vol. 29. No. 1. Pp. 35-48

12. Schöbi R., Sudret B. Structural reliability analysis for p-boxes using multi-level meta-models // Probabilistic Engineering Mechanics. 2017. Vol. 48. Pp. 27-38

13. Zhang H., Mullen R.L., Muhanna R.L. Structural analysis with probability-boxes // International Journal of Reliability and Safety. 2012. Vol. 6. No. 1-3. Pp. 110-129

14. Лебедева И.В. История развития отечественных норм снеговых нагрузок // Вестник НИЦ Строительство. 2017. №. 3. С. 144-154

15. Hong H.P., Ye W. Analysis of extreme ground snow loads for Canada using snow depth records // Natural hazards. 2014. Vol. 73. No. 2. Pp. 355-371

16. Соловьев С.А. Моделирование случайной статической нагрузки на покрытия сооружений при неполной статистической информации // Строительная механика инженерных конструкций и сооружений. 2020. Т. 16. №. 4. С. 243-249

17. Соловьева А.А., Соловьев С.А. Расчет надежности элементов стальных ферм по критерию устойчивости с использованием р-блоков // Строительная механика и расчет сооружений. 2021. №. 1. С. 45-53

18. Keshtegar B., Meng Z. A hybrid relaxed first-order reliability method for efficient structural reliability analysis // Structural Safety. 2017. Vol. 66. Pp. 84-93

19. Zhao Y.G., Ono T. Moment methods for structural reliability // Structural safety. 2001. Vol. 23. No. 1. Pp. 47-75

20. XXV International Scientific conference on Advance in Civil Engineering “Construction the formation of living environment” (FORM-2022) [Электронный ресурс]. URL: https://mgsu-conference.org/form-2022 (дата обращения: 01.06.2022)


Review

For citations:


Solovyeva A.A., Solovyev S.A., Umnyakova N.P., Kochkin A.A. STRUCTURAL RELIABILITY ANALYSIS OF STEEL TRUSSES BY DEFLECTION BASED ON P-BOXES. Building and Reconstruction. 2022;(4):64-74. (In Russ.) https://doi.org/10.33979/2073-7416-2022-102-4-64-74

Views: 100


Creative Commons License
This work is licensed under a Creative Commons Attribution 4.0 License.


ISSN 2073-7416 (Print)