文档介绍：Probabilistic Engineering Mechanics 14 (1999) 73±81
A load space formulation for probabilistic ®nite element analysis of
structural reliability
. Guan*, . Melchers
Department of Civil, Surveying and Environmental Engineering, The University of Newcastle, Callaghan, NSW 2308, Australia
Abstract
A load space formulation for calculating the failure probability plex structures for which the limit state functions are implicit is
described in this paper. This formulation is used in conjunction with probabilistic ®nite 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 pared with the usual Monte Carlo simulation (MCS) method. When
used in a ®nite element reliability analysis, this procedure can save signi®cant amounts of CPU time. Numerical examples are presented to
show the ef®ciency and accuracy of the proposed approach. q 1998 Elsevier Science Ltd. All rights reserved.
1. Introduction costly. To reduce the total CPU time, several alternative
methods have been proposed. These include the ®rst-order
In structural