Peter Bjerager
Technical University of Denmark
11 Papers
82 Citations
Peter Bjerager is an academic researcher from Technical University of Denmark. The author has contributed to research in topics: Reliability (statistics) & Parametric statistics. The author has an hindex of 7, co-authored 11 publications.
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Papers
Probability Integration by Directional Simulation
TL;DR: In this article, directional importance sampling based on first-and second-order reliability results is used to reduce the variance on the probability estimator for structural reliability analysis, including hyperspheres, hyperplanes, rotationally symmetrical hyperparaboloids, surfaces defining a convex polyhedral failure set and series-systems failure surfaces.
342
Parametric Sensitivity in First Order Reliability Theory
Peter Bjerager,Steen Krenk +1 more
TL;DR: In this paper, the parametric sensitivity of the most likely failure point is studied and a formula is derived for the derivative of the unit normal vector to the failure surface in this point.
198
Methods of structural systems reliability
Ove Ditlevsen,Peter Bjerager +1 more
TL;DR: In this paper, the authors present the last five to ten years of development within the field of structural reliability theory with particular attention to structural systems, including single element reliability, series systems reliability, parallel systems and general systems reliability.
143
Directional simulation in Gaussian processes
TL;DR: In this paper, a generalization of the uniform mean centred directional sampling in the standardized n-dimensional Gaussian space is given, where two modifications of different nature are involved: shifting the origin to a point different from the mean and defining the sampling distribution in such a way that the exact probability on a given half-space is obtained by a single simulation.
76
Plastic Reliability Analysis By Directional Simulation
Ove Ditlevsen,Peter Bjerager +1 more
TL;DR: In this article, the reliability with respect to plastic collapse of rigid frame and truss structures is estimated by directional simulation, and the results from methods of identifying likely plastic mechanisms can be used to establish an importance sampling whereby the sample size can be reduced without loss of accuracy.
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