@ARTICLE{Dudzik_A._Ocena_2015, author={Dudzik, A. and Radoń, U.}, number={No 3}, journal={Archives of Civil Engineering}, pages={133-147}, howpublished={online}, year={2015}, publisher={WARSAW UNIVERSITY OF TECHNOLOGY FACULTY OF CIVIL ENGINEERING and COMMITTEE FOR CIVIL ENGINEERING POLISH ACADEMY OF SCIENCES}, abstract={The study deals with stability and dynamic problems in bar structures using a probabilistic approach. Structural design parameters are defined as deterministic values and also as random variables, which are not correlated. The criterion of structural failure is expressed by the condition of non-exceeding the admissible load multiplier and condition of non-exceeding the admissible vertical displacement. The Hasofer-Lind index was used as a reliability measure. The primary research tool is the FORM method. In order to verify the correctness of the calculations Monte Carlo and Importance Sampling methods were used. The sensitivity of the reliability index to the random variables was defined. The limit state function is not an explicit function of random variables. This dependence was determined using a numerical procedure, e.g. the finite element methods. The paper aims to present the communication between the STAND reliability analysis program and the KRATA and MES3D external FE programs.}, type={Artykuły / Articles}, title={Ocena algorytmów obliczania wskaźnika niezawodności}, title={The evaluation of algorithms for determination of the reliability index}, URL={http://www.journals.pan.pl/Content/84040/mainfile.pdf}, keywords={zmienne losowe, wskaźnik niezawodności, metoda FORM, wrażliwość wskaźnika niezawodności, stateczność wyrobisk, analiza dynamiczna, ścieżka równowagi, punkt projektowy, random variables, reliability index, FORM method, sensitivity of the reliability index, stability, dynamic analysis, equilibrium path, design point}, }