A load space formulation for probabilistic finite element analysis of structural reliability |
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| Authors: | X. L. Guan R. E. Melchers |
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| Affiliation: | 1. Department of Engineering Science, University of Greenwich, Central Avenue, ME4 4TB Chatham, United Kingdom;2. Department of Civil Engineering, University of Patras, 26504 Rio, Greece;3. Institute of Structural Engineering and Disaster Reduction, College of Civil Engineering, Tongji University, Shanghai 200092, PR China;4. Office of Theoretical and Applied Mechanics, Academy of Athens, 11527 Athens, Greece;1. LGCGM/Structural Engineering Research Group, Institut National des Sciences Appliquées de Rennes, 20 Av. des Buttes de Coësmes 35708, Rennes Cedex 7, France;2. Department of Structural Mechanics, Budapest University of Technology and Economics, Műegyetem rkp. 3-9, Budapest 1111, Hungary |
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| Abstract: | A load space formulation for calculating the failure probability of complex structures for which the limit state functions are implicit is described in this paper. This formulation is used in conjunction with probabilistic finite element (PEE) analysis and employs a directional simulation to calculate the structural reliability. Apart from the advantage that a lower order space is used, the main advantage of the load space formulation proposed in this paper is that the number of inversions of the structural stiffness matrix and/or its gradients with respect to the material property random variables is reduced dramatically when compared with the usual Monte Carlo simulation (MCS) method. When used in a finite element reliability analysis, this procedure can save significant amounts of CPU time. Numerical examples are presented to show the efficiency and accuracy of the proposed approach. |
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