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Reliability Analysis of Structural Systems by Using the Stochastic Finite Element Method
Abstract This paper concerned with the application of the stochastic finite element method (SFEM) or probabilistic finite element method (PFEM) to the structural system reliability analysis. The method is known to be able to a more explicitly consider the effect of uncertainties in material and geometric variables on those of load effects in the structural analysis procedure. With regard to the reliability analysis of structural systems, it is well known that the residual strength of failed members gives appreciable influence on the structural system reliability. The residual strength of a failed member is usually characterised as the post-ultimate slope and the residual strength parameter and they have been in usual treated as deterministic variables. This paper is an attempt to account for the uncertainty of the residual strength in the reliability analysis of structural systems. For this purpose the stochastic finite element method is linked to the system reliability analysis procedure. The computer code has been developed based on the present approach and has been applied to system as well as component reliability analysis of a plane structure. Comparison of the results by the present approach is made with the method in which the residual strength of failed component is treated as deterministic variable. Several case studies have been carried to show the effect of uncertainty in residual strength of a member after failure. It has been conformed that residual strength very much affect the system reliability level. It can be, hence, concluded that the uncertainties in the post-ultimate behaviour may have to be taken into account in the system reliability analysis for a better assessment of the system reliability level, especially for a structure of which member behaviour is modelled as semi-brittle model. And then the stochastic finite element method can efficiently evaluate the system reliability.
Reliability Analysis of Structural Systems by Using the Stochastic Finite Element Method
Abstract This paper concerned with the application of the stochastic finite element method (SFEM) or probabilistic finite element method (PFEM) to the structural system reliability analysis. The method is known to be able to a more explicitly consider the effect of uncertainties in material and geometric variables on those of load effects in the structural analysis procedure. With regard to the reliability analysis of structural systems, it is well known that the residual strength of failed members gives appreciable influence on the structural system reliability. The residual strength of a failed member is usually characterised as the post-ultimate slope and the residual strength parameter and they have been in usual treated as deterministic variables. This paper is an attempt to account for the uncertainty of the residual strength in the reliability analysis of structural systems. For this purpose the stochastic finite element method is linked to the system reliability analysis procedure. The computer code has been developed based on the present approach and has been applied to system as well as component reliability analysis of a plane structure. Comparison of the results by the present approach is made with the method in which the residual strength of failed component is treated as deterministic variable. Several case studies have been carried to show the effect of uncertainty in residual strength of a member after failure. It has been conformed that residual strength very much affect the system reliability level. It can be, hence, concluded that the uncertainties in the post-ultimate behaviour may have to be taken into account in the system reliability analysis for a better assessment of the system reliability level, especially for a structure of which member behaviour is modelled as semi-brittle model. And then the stochastic finite element method can efficiently evaluate the system reliability.
Reliability Analysis of Structural Systems by Using the Stochastic Finite Element Method
Lee, J.-S. (Autor:in)
01.01.1992
18 pages
Aufsatz/Kapitel (Buch)
Elektronische Ressource
Englisch
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