文档介绍：Computer methods
in applied
mechanics and
englneering
put. Methods Appl. Mech. Engrg. 136 (1996) 145-163
Structural reliability analyis of ela’stic-plastic structures using
works and Monte Carlo simulation
Manolis Papadrakakis* , Vissarion Papadopoulos, Nikos D. Lagaros
Institute of Structural Analysis and Seismic Research, National Technical University of Athens, Athens 15773, Greece
Received 10 October 1995
Abstract
This paper examines the application of works (NN) to the reliability analysis plex structural systems in
connection with Monte Carlo Simulation (MCS). The failure of the system is associated with the plastic collapse. The use of NN
was motivated by the approximate concepts inherent in reliability analysis and the time consuming repeated analyses required for
MCS. A Back Propagation algorithm is implemented for training the NN utilising available information generated from selected
elasto-plastic analyses. The trained NN is then used pute the critical load factor due to different sets of basic random
variables leading to close prediction of the probability of failure. The use of MCS with Importance Sampling further improves the
prediction of the probability of failure with works.
1. Introduction
The theory and methods of structural reliability have developed significantly during the last twenty
years and have been documented in an increasing number of publications. These advancements in
structural reliability theory and the attainment of more accurate quantification of the uncertainties
associated with structural loads and resistances have stimulated the interest in the probabilistic
treatment of structures. The reliability of a structure or its probability of failure is an important factor in
the design procedure since it investigates the probability of the structure to plete its
design requirements. Reliability analysis leads to safety measures that a design engineer has to take into
accoun