Frank Grooteman's research while affiliated with Netherlands Aerospace Centre and other places
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Publications (3)
In this paper, an adaptive directional importance sampling (ADIS) method is presented. The algorithm is based on a directional simulation scheme in which the most important directions are sampled exact and the others by means of a response surface approach. These most important directions are determined by a β-sphere enclosing the most important pa...
In this paper an adaptive radial-based importance sampling (ARBIS) method is presented. The radial-based importance sampling (RBIS) method, excluding a β-sphere from the sampling domain, is extended with an efficient adaptive scheme to determine the optimal radius β of the sphere. The adaptive scheme is based on directional simulation. The underlyi...
This paper describes a stochastic methodology for predicting aircraft component fatigue lifetimes and optimum inspection intervals. An introduction covers some basics in design philosophies and the main aspects of deterministic and stochastic analysis. Then a stochastic life approach (SLAP) is presented. This consists of three steps: (1) determinin...
Citations
... If a tractable analytical and differentiable expression is available for ( ), approximate methods like the first-order or second-order reliability methods provide estimations of ( ) [1][2][3]. If an analytical expression for ( ) is not directly available or too complex, it can be approximated using a surrogate model, which is used for example in adaptive directional importance sampling [4]. Surrogate models may however have difficulties for complex limit states and in high-dimensional space. ...
... Considering that many factors affecting the fatigue crack propagation, such as external load [12], structural state, material properties, and defect sizes [13], have certain dispersion or uncertainty, the fatigue life of the structure under the same working condition has great dispersion and may even be several times different. The dispersion of these factors shows a statistical regularity, so the probabilistic damage tolerance analysis method proposed by combining probability and statistics has great advantages over the deterministic method in the evaluation of structural safety [14][15][16]. ...
... For instance, by fusing the optimization algorithm into Kriging parameters optimization (Song et al. 2019a;Zhang et al. 2022b), the improved Kriging surrogate models are proposed to enhance the model generalization ability; advanced sampling techniques (Yun et al. 2020;Xiong and Tan 2018;Zhang et al. 2020) (i.e., importance sampling (IS)) are combined to the Kriging model for ameliorating the computing accuracy and efficiency. However, for high-nonlinearity and hyper-parameter characteristics in turbine rotor multi-site reliability evaluation, the single applications of the improved Kriging or sampling techniques are insufficient to achieve high-accuracy computing results (Grooteman 2008). To overcome this dilemma, a genetic-optimized Kriging surrogate (OKS) and the radial-improved importance sampling (IIS) are organically integrated, for high-efficacy MCS calculations in multisite reliability evaluation. ...