Stochastic Optimization Models for Structural‐Reliability Analysis

Abstract

The present paper provides a method for the identification of failure modes that contribute significantly to the estimate of the system probability of failure in rigid‐plastic structures. For structures where loads and resistances are random variables, a decision rule is presented for the identification of failure modes in series systems based on their contribution to the system probability of failure. Stochastic programs based on this decision rule for failure mode selection are developed for the identification of failure modes in structures. Examples illustrate the use of these mathematical programs in identifying significant failure modes in rigid‐plastic structures where axial force‐moment interaction is included.