During the past decade, numerous endeavors have been made to develop effective reliability-based design optimization (RBDO) methods. Because the evaluation of probabilistic constraints defined in the RBDO formulation is the most difficult part to deal with, a number of different probabilistic design approaches have been proposed to evaluate probabilistic constraints in RBDO. In the first approach, statistical moments are approximated to evaluate the probabilistic constraint. Thus, this is referred to as the approximate moment approach (AMA). The second approach, called the reliability index approach (RIA), describes the probabilistic constraint as a reliability index. Last, the performance measure approach (PMA) was proposed by converting the probability measure to a performance measure. A guide for selecting an appropriate method in RBDO is provided by comparing probabilistic design approaches for RBDO from the perspective of various numerical considerations. It has been found in the literature that PMA is more efficient and stable than RIA in the RBDO process. It is found that PMA is accurate enough and stable at an allowable efficiency, whereas AMA has some difficulties in RBDO process such as a second-order design sensitivity required for design optimization, an inaccuracy to measure a probability of failure, and numerical instability due to its inaccuracy. Consequently, PMA has several major advantages over AMA, in terms of numerical accuracy, simplicity, and stability. Some numerical examples are shown to demonstrate several numerical observations on the three different RBDO approaches.

Selecting probabilistic approaches for reliability-based design optimization

Time-dependent reliability-based optimization for structural-topological configuration design under convex-bounded uncertain modeling

Support vector regression based metamodeling for seismic reliability analysis of structures

Active Learning Kriging Model Combining With Kernel-Density-Estimation-Based Importance Sampling Method for the Estimation of Low Failure Probability

Active learning for structural reliability: Survey, general framework and benchmark

Reliability of tunnel lining design using the Hyperstatic Reaction Method

A Two-Level Kriging-Based Approach with Active Learning for Solving Time-Variant Risk Optimization Problems

Performance of global metamodeling techniques in solution of structural reliability problems

Performance-based design of steel towers subject to wind action

System Reliability-Based Design Optimization (RBDO) considers a single system failure probability constraint. The formulation allows different failure modes to compete with each other. Very few met...

System reliability-based design optimization and risk-based optimization: a benchmark example considering progressive collapse

Henrique M. Kroetz

Papers

Reliability of tunnel lining design using the Hyperstatic Reaction Method

A Two-Level Kriging-Based Approach with Active Learning for Solving Time-Variant Risk Optimization Problems

Performance of global metamodeling techniques in solution of structural reliability problems

Performance-based design of steel towers subject to wind action

System reliability-based design optimization and risk-based optimization: a benchmark example considering progressive collapse