AK-MCS: An active learning reliability method combining Kriging and Monte Carlo Simulation

A combined Importance Sampling and Kriging reliability method for small failure probabilities with time-demanding numerical models

https://www.sudret.ibk.ethz.ch/content/dam/ethz/special-interest/baug/ibk/risk-safety-and-uncertainty-dam/publications/journal-papers/Duborg2013_preprint.pdf

Metamodel-based importance sampling for structural reliability analysis

The reliability-based design optimization (RBDO) seeks for the best compromise between cost and safety, by considering system uncertainties. In order to overcome computational difficulties, many formulations have been recently developed, leading to confusion about what method should be selected for a given application, due to the lack of full-scale comparative studies. In this context, the present paper aims at giving an overview of various RBDO approaches which are tested on a benchmark constituted of four examples using mathematical and finite element models, with different levels of difficulties. The study is focused on the three main approaches, namely the two-level approach, the single loop approach and the decoupled approach; for each category, two RBDO formulations are discussed, implemented and tested for numerical examples. The benchmark study allows us to give comprehensive overview of various approaches, to give clear ideas about their capabilities and limitations, and to draw useful conclusions regarding robustness and numerical performance.

Benchmark study of numerical methods for reliability-based design optimization

Reliability-based Optimization is a most appropriate and advantageous methodology for structural design. Its main feature is that it allows determining the best design solution (with respect to prescribed criteria) while explicitly considering the unavoidable effects of uncertainty. In general, the application of this methodology is numerically involved, as it implies the simultaneous solution of an optimization problem and also the use of specialized algorithms for quantifying the effects of uncertainties. In view of this fact, several approaches have been developed in the literature for applying this methodology in problems of practical interest. This contribution provides a survey on approaches for performing Reliability-based Optimization, with emphasis on the theoretical foundations and the main assumptions involved. Early approaches as well as the most recently developed methods are covered. In addition, a qualitative comparison is performed in order to provide some general guidelines on the range of applicability on the different approaches discussed in this contribution.

A survey on approaches for reliability-based optimization

Application Of Kriging Method To Structural Reliability Problems

A response surface method based on weighted regression for structural reliability analysis

Multi-objective optimization of a honeycomb heat sink using Response Surface Method

Temperature and air–fuel ratio dependent specific heat ratio functions for lean burned and unburned mixture

Surface treatments of orthopedic materials are commonly used to enhance mechanical and tribological properties. One of the well-known orthopedic materials, wrought CoCrMo alloy was nitrided at various temperatures and time periods at a gas mixture of 75%N 2 –25%Ar to achieve these enhancements. SEM, XRD, pin-on-disc tribotester, and microhardness tester have been used to examine the treated materials. Analyses confirm the formation of nitride layers and the significant effect of plasma nitriding on wear rate and surface hardness.

Irfan Kaymaz

Papers

Application Of Kriging Method To Structural Reliability Problems

A response surface method based on weighted regression for structural reliability analysis

Multi-objective optimization of a honeycomb heat sink using Response Surface Method

Temperature and air–fuel ratio dependent specific heat ratio functions for lean burned and unburned mixture

Effects of plasma nitriding on mechanical and tribological properties of CoCrMo alloy