Publications
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Decomposition algebras and axial algebras Ghent University
Modules over axial algebras Ghent University
Non-associative Frobenius algebras for simply laced Chevalley groups Ghent University
An analytical continuum model for axially loaded end-bearing piles in inhomogeneous soil KU Leuven
© 2019 John Wiley & Sons, Ltd. An approximate static solution is derived for the elastic settlement and load-transfer mechanism in axially loaded end-bearing piles in inhomogeneous soil obeying a power law variation in shear modulus with depth. The proposed generalised formulation can handle different types of soil inhomogeneity by employing pertinent eigenexpansions of the dependent variables over the vertical coordinate, in the form of ...
Analytical Solution for Axially Loaded Piles in Two-Layer Soil KU Leuven
An analytical elastic continuum model is developed for the settlement of end-bearing piles in a two-layer soil over a rigid stratum. The model has its roots in the point-load solution of Westergaard, which was later extended by Tajimi to deep foundations and lies on the assumption of a vanishing soil stress or displacement component. For piles in homogeneous soils, such solutions were elaborated on by Nogami and Novak. Contrary to these ...
Fast tomographic inspection of cylindrical objects Ghent University
This paper presents a method for improved analysis of objects with an axial symmetry using X-ray Computed Tomography (CT). A cylindrical coordinate system about an axis fixed to the object’s center of symmetry forms the most natural base to analyze characteristics of those objects that exhibit axial symmetry, as is often the case for industrial parts. As the sampling grid in the proposed methodology is chosen in reference to the object, ...
Spatially Variant Ultrasound Attenuation Mapping using a Regularized Linear Least-Squares Approach KU Leuven
Quantitative ultrasound methods aim to estimate the acoustic properties of the underlying medium, such as the attenuation and backscatter coefficients, and have applications in various areas including tissue characterization. In practice, tissue heterogeneity makes the coefficient estimation challenging. In this work, we propose a computationally efficient algorithm to map spatial variations of the attenuation coefficient. Our proposed approach ...
Strategies in cone beam CT inspection of cylindrical objects Ghent University
Axial symmetry is a feature that often occurs in industrial parts. Analysing these with X-ray computed tomography (CT), cylindrical coordinates about an axis fixed to the object form the most natural base to check certain characteristics of objects that contain such symmetry. This work presents two methods to investigate this coordinate system and to incorporate it in the current algebraic reconstruction framework and the analysis tools. The ...
Analyses of target definition processes for MIMO Random Vibration Control tests Vrije Universiteit Brussel
In Random Vibration environmental testing, it is a common practice to specify the requirements as acceleration power spectral densities (PSDs) that need to be reproduced at user-defined control channels. Such a test is typically performed in a single-axis setting, where the test article is subjected to vibrations in one direction only. If more than one direction is of interest sequential single-axis tests are performed after rotating the test ...