The system reliability of steel trusses with correlated variables

• Autorzy: Kubicka Katarzyna , Radoń Urszula

Identyfikatory

DOI

10.24425/ace.2024.149857

Warianty tytułu

PL

Systemowa analiza niezawodności stalowych kratownic ze skorelowanymi zmiennymi

• Języki publikacji: EN

Abstrakty

EN

The paper focuses on the system reliability of steel trusses with correlated variables. The correlation between bearing capacities of bars was considered. Two static truss schemes were considered. Nodal forces were the only load. The Finite Element Method analysis was conducted in Robot Structural Analysis program. To conduct system reliability analysis it is essential to find cut-sets, it was realized by stiffness matrix spectral analysis. Then reliability analysis was performed in Sysrel module of Strurel computing environment. First Order Reliability Method was used as the base, Subset Simulation method was used to check the correctness of the results. The sensitivity analysis of reliability index enabled the authors to draw conclusions, which variables have the greatest influence on the reliability of the structure. The effects of actions and bearing capacities were assumed to be the only random variables and that the excessing the bearing capacities of bars is the only way the structure can get into failure area.

PL

W artykule przedstawiono analizę wpływu korelacji między zmiennymi losowymi na uzyskiwany wskaźnik niezawodności, z wykorzystaniem analizy systemowej. W pracy uwzględniono kratownice stalowe o dwóch różnych geometriach, w obu przypadkach były to konstrukcje statycznie niewyznaczalne. Założono, że jedynym obciążeniem działającym na kratownice są siły skupione, zaczepione w węzłach pasa dolnego. W pierwszym kroku przeprowadzono obliczenia statyczno-wytrzymałościowe w programie Robot Structural Analysis, uzyskując wartości nośności oraz efektu oddziaływań dla poszczególnych prętów kratownic. Jako zmienne losowe przyjęto efekt oddziaływań (E) oraz nośności poszczególnych elementów (N), o współczynnikach zmienności odpowiednio 6% i 10%. Założono, że wszystkie zmienne mają rozkład normalny. Jako kryterium zniszczenia elementu przyjęto przekroczenie nośności w prętach. Po oszacowaniu niezawodności poszczególnych elementów określono wszystkie możliwe schematy zniszczenia (cut-sets). W tym celu wykorzystano analizę spektralną macierzy sztywności konstrukcji, z wykorzystaniem informacji o niezawodnościach elementów.

Słowa kluczowe

EN

first order reliability method; sensitivity analysis; steel truss; system reliability analysis; subset simulation; Sysrel

PL

kratownica stalowa; analiza niezawodności; analiza systemowa; analiza wrażliwości; metoda niezawodności pierwszego rzędu; symulacja podzbioru; Sysrel

• Wydawca: Komitet Inżynierii Lądowej i Wodnej PAN ; Politechnika Warszawska, Wydział Inżynierii Lądowej
• Czasopismo: Archives of Civil Engineering
• Rocznik: 2024
• Tom: Vol. 70, nr 2
• Strony: 163--178
• Opis fizyczny: Bibliogr. 32 poz., il., tab.

Twórcy

autor

Kubicka Katarzyna

• Kielce University of Technology, Faculty of Civil Engineering and Architecture, Kielce, Poland

• https://orcid.org/0000-0003-4521-9471

autor

Radoń Urszula

• Kielce University of Technology, Faculty of Civil Engineering and Architecture, Kielce, Poland

• https://orcid.org/0000-0002-7842-7480

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