Frank Grooteman’s research while affiliated with Netherlands Aerospace Centre and other places

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Publications (3)


An adaptive directional importance sampling method for structural reliability
  • Article

April 2011

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83 Reads

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95 Citations

Probabilistic Engineering Mechanics

Frank Grooteman

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 part(s) of the limit state. The β-sphere and response surface are constantly updated during sampling with information that becomes available from the exact evaluations making the scheme adaptive.Various widely used test problems, representing a broad range of complex limit states that can occur in practice, of which several that pose potential problems to stochastic methods in general, demonstrate the high efficiency, accuracy and robustness of the method. As such, the ADIS method is of particular interest in applications with a low probability of failure and medium number (up to about 40) of stochastic variables, for instance in aircraft and nuclear industry.


Adaptive radial-based importance sampling method for structural reliability

November 2008

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136 Reads

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165 Citations

Structural Safety

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 underlying basic methods are presented briefly. Several numerical examples demonstrate the efficiency, accuracy and robustness of the scheme. As such, the ARBIS method can be applied as a black-box and is of particular interest in applications with a low probability of failure, for example in structural reliability, in combination with a small number of stochastic variables.


A stochastic approach to determine lifetimes and inspection schemes for aircraft components

January 2008

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78 Reads

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41 Citations

International Journal of Fatigue

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) determining the failure distribution; (2) reverse crack growth analyses from the failure distribution to obtain the initial inspection time and corresponding crack length distribution; and (3) forward crack growth analyses to determine a schedule for repeated inspections. The SLAP methodology is illustrated using in-service inspection data from an actual aircraft component and comparing the results with a deterministic analysis. Concluding remarks summarise the findings and address open issues.

Citations (3)


... MCS computes the response value of the structure based on actual probability distributions derived from samples, with the failure probability at the design point determined by the number of failure sample points [10]. However, the extensive calculations required by MCS lead to low efficiency, prompting the development of several improved MCS methods, such as the Directional Sampling (DS) method [11], the Importance Sampling (IS) method [12,13], and the Subset Simulation (SS) method [14]. These methods reduce computational costs by restricting the number of samples needed to estimate the failure probability to the necessary local precision. ...

Reference:

A hyperspherical area integral method based on a quasi-Newton approximation for reliability analysis
An adaptive directional importance sampling method for structural reliability
  • Citing Article
  • April 2011

Probabilistic Engineering Mechanics

... 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]. ...

A stochastic approach to determine lifetimes and inspection schemes for aircraft components
  • Citing Article
  • January 2008

International Journal of Fatigue

... The RBIS technique is to exclude an n-dimensional sphere called " -sphere" in safe region from the sampling domain in U-space. One can refer to literatures (Grooteman 2008;Thedy and Liao 2023) for details. The optimal sphere radius is MPP (the distance from the origin to the MPP). ...

Adaptive radial-based importance sampling method for structural reliability
  • Citing Article
  • November 2008

Structural Safety