A Probabilistic Approach to Design of Steel Trusses with Incomplete Statistical Data

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Abstract

One of the promising directions of development of structural design standards is the transition to full probabilistic methods of structural design for a given target reliability level. For estimation of the reliability index, effective accounting and modeling of aleatory and epistemic uncertainties of data is necessary. The article describes a probabilistic approach to the design of steel truss elements taking into account incomplete statistical data. This approach allows giving an estimate of the failure probability for a steel truss under uncertainty data. The failure probability presented in the form of an interval that will narrow as additional statistical data about loads, material properties, geometric imperfections, etc. grows. To solve this problem, the article uses two numerical approaches to calculate the failure probability: discretization of p-boxes into Dempster-Shafer structures and the interval Monte Carlo (IMC) method. The use of the presented approach in practice also allows performing a comparative evaluation of different technical and economic solutions of steel trusses based on the reliability factor.

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About the authors

A. A. Solovieva

Vologda State University

Author for correspondence.
Email: solovevaaa@vogu35.ru

Postgraduate Student

Russian Federation, 15, Lenina Street, 160000, Vologda

V. A. Smirnov

Scientific-Research Institute of Building Physics of RAACS; National Research Moscow State University of Civil Engineering

Email: belohvost@list.ru

Candidate of Sciences (Engineering)

Russian Federation, 21, Lokomotivniy Driveway, Moscow, 127238; 26, Yaroslavskoe Highway, Moscow, 129337

S. A. Soloviev

Vologda State University

Email: solovevsa@vogu35.ru

Candidate of Sciences (Engineering)

Russian Federation, 15, Lenina Street, 160000, Vologda

References

  1. Лебедева И.В., Петрова Т.А. Анализ современных подходов к оценке надежности в строительстве // Вестник НИЦ «Строительство». 2023. Т. 38. № 3. С. 20–36. Lebedeva I.V., Petrova T.A. Analysis of modern approaches to assessing reliability in construction. Vestnik of NITS Stroitelstvo. 2023. Vol. 38. No. 3, pp. 20–36. (In Russian).
  2. Стрелецкий Н.С. Основы статистического учета коэффициента запаса прочности сооружений. М.: Стройиздат, 1947. 92 с. Streletsky N.S. Osnovy statisticheskogo ucheta koeffitsienta zapasa prochnosti sooruzhenii [Fundamentals of statistical accounting of the coefficient of safety margin of structures]. Moscow: Stroyizdat. 1947. 92 p.
  3. Ржаницын А.Р. Определение коэффициента запаса прочности сооружений // Строительная промышленность. 1947. № 8. С. 11–14. Rzhanitsyn A.R. Determination of the safety factor of structures. Stroitel’naya promyshlennost’. 1947. No. 8, pp. 11–14. (In Russian).
  4. Wu P., Li Y. Adaptive kriging model-based structural reliability analysis under interval uncertainty with incomplete data. Structural and Multidisciplinary Optimization. 2023. Vol. 66. No. 1, pp. 22. https://doi.org/10.1007/s00158-022-03474-9
  5. Wang L., Liu Y., Li M. Time-dependent reliability-based optimization for structural-topological configuration design under convex-bounded uncertain modeling. Reliability Engineering & System Safety. 2022. Vol. 221, pp. 108361. https://doi.org/10.1016/j.ress.2022.108361
  6. Liu Z. et al. Reliability measure approach considering mixture uncertainties under insufficient input data. Journal of Zhejiang University-SCIENCE A. 2023. Vol. 24. No. 2, pp. 146–161. https://doi.org/10.1631/jzus.A2200300
  7. Соловьева А.А., Соловьев С.А. Разработка уточненного р-блока как модели случайной величины в задачах анализа надежности строительных конструкций // Строительная механика и расчет сооружений. 2022. № 1 (300). С. 20–28. DOI: https://doi.org/10.37538/0039-2383.2022.1.20.28 Solovieva A.A., Soloviev S.A. Development of a refined p-box as a random variable model in problems of structural reliability analysis. Stroitel’naya mekhanika i raschet sooruzhenii. 2022. No. 1 (300), pp. 20–28. (In Russian). DOI: https://doi.org/10.37538/0039-2383.2022.1.20.28
  8. Qiang S., Zhou X., Gu M. Research on reliability of steel roof structures subjected to snow loads at representative sites in China. Cold Regions Science and Technology. 2018. Vol. 150, pp. 62–69. https://doi.org/10.1016/j.coldregions.2017.09.005
  9. Золина Т.В., Садчиков П.Н. Моделирование снеговой нагрузки на покрытие промышленного здания // Вестник МГСУ. 2016. № 8. С. 25–33. Zolina T.V., Sadchikov P.N. Modeling of the Snow Load on the Roofs of Industrial Buildings. Vestnik MGSU. 2016. No. 8, pp. 25–33. (In Russian).
  10. Zhang H., Dai H., Beer M., Wang W. Structural reliability analysis on the basis of small samples: an interval quasi-Monte Carlo method. Mechanical Systems and Signal Processing. 2013. Vol. 37 (1–2), pp. 137–151. https://doi.org/10.1016/j.ymssp.2012.03.001
  11. 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 (294). С. 45–53. Solovieva A.A., Soloviev S.A. Structural reliability analysis of steel truss elements on buckling using p-box approach. Stroitel’naya mekhanika i raschet sooruzhenii. 2021. No. 1 (294), pp. 45–53. (In Russian).
  12. Ferson S., Kreinovich V., Grinzburg L., Myers D., Sentz K. Constructing probability boxes and Dempster-Shafer structures (No. SAND-2015-4166J). Sandia National Lab (SNL-NM), Albuquerque, 2003. 132 p.
  13. 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. 102092. https://doi.org/10.1016/j.strusafe.2021.102092
  14. Marek P., Brozzetti J., Guštar M. Probabilistic assessment of structures using monte carlo simulation. Czech Republic, Prague: CAS, 2003. 471 p.

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