Reliability-based structural optimization using improved two-point adaptive nonlinear approximations
Finite Elements in Analysis and Design
An outer approximation approach to reliability-based optimal design of structures
Journal of Optimization Theory and Applications
Gaussian Processes for Machine Learning (Adaptive Computation and Machine Learning)
Gaussian Processes for Machine Learning (Adaptive Computation and Machine Learning)
Dimension reduction method for reliability-based robust design optimization
Computers and Structures
A survey on approaches for reliability-based optimization
Structural and Multidisciplinary Optimization
Efficient strategies for reliability-based optimization involving non-linear, dynamical structures
Computers and Structures
Sampling-based RBDO using the stochastic sensitivity analysis and Dynamic Kriging method
Structural and Multidisciplinary Optimization
An adaptive decoupling approach for reliability-based design optimization
Computers and Structures
An optimal shifting vector approach for efficient probabilistic design
Structural and Multidisciplinary Optimization
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Reliability-based design optimization (RBDO) in practical applications is hindered by its huge computational cost during structure reliability evaluating process. Kriging-model-based RBDO is an effective method to overcome this difficulty. However, the accuracy of Kriging model depends directly on how to select the sample points. In this paper, the local adaptive sampling (LAS) is proposed to enhance the efficiency of constructing Kriging models for RBDO problems. In LAS, after initialization, new samples for probabilistic constraints are mainly selected within the local region around the current design point from each optimization iteration, and in the local sampling region, sample points are first considered to be located on the limit state constraint boundaries. The size of the LAS region is adaptively defined according to the nonlinearity of the performance functions. The computation capability of the proposed method is demonstrated using three mathematical RBDO problems and a honeycomb crash-worthiness design application. The comparison results show that the proposed method is very efficient.