Publicaties
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Partial decomposition of nonlinear Euler–Lagrange equations with a state transform Universiteit Gent
The Euler-Lagrange (EL) formalism is extensively used to describe a wide range of systems. The choice of the generalised coordinates is not unique and influences the intricacy of the coupling terms between the equations of motion. A coordinate transformation can vastly reduce this complexity, yielding a (partially) decoupled system description. This work proposes a state transform of the original EL equation resulting in an identity inertia ...
Invariant Lagrangians, mechanical connections and the Lagrange-Poincare equations Universiteit Gent Universiteit Antwerpen
Analysis of the dynamics of a slider-crank mechanism locally actuated with an act-and-wait controller Vrije Universiteit Brussel
Traditional use of slider-crank mechanisms result in high loads transmitted through the mechanical structure, inhibiting the design of a compact machine. Therefore, this paper proposes to step away from the conventional, i.e. rotative, actuation and to investigate local linear actuation of the slider-component directly, while maintaining the kinematic link. In this work the equation of motion and corresponding non-isochronous movement are ...
Reduced dynamics and Lagrangian submanifolds of symplectic manifolds Universiteit Gent Universiteit Antwerpen
In this paper, we will see that the symplectic creed by Weinstein 'everything is a Lagrangian submanifold' also holds for Hamilton-Poincare and Lagrange-Poincare reduction. In fact, we show that solutions of the Hamilton-Poincare equations and of the Lagrange-Poincare equations are in one-to-one correspondence with distinguished curves in a Lagrangian submanifold of a symplectic manifold. For this purpose, we will combine the concept of a ...
Fluid-structure interaction in the Lagrange-Poincaré formalism : the Navier-Stokes and inviscid regimes Universiteit Gent
In this paper, we derive the equations of motion for an elastic body interacting with a perfect fluid via the framework of Lagrange-Poincare reduction. We model the combined fluid-structure system as a geodesic curve on the total space of a principal bundle on which a diffeomorphism group acts. After reduction by the diffeomorphism group we obtain the fluid-structure interactions where the fluid evolves by the inviscid fluid equations. Along the ...
An eddy interaction model for particle deposition Vrije Universiteit Brussel
Deposition of mono-disperse aerosols is studied numerically on a simplified human upper airway model (UAM). This paper presents new correction functions for eddy interaction model (EIM) in an attempt to improve the accuracy of predicting aerosol deposition in the UAM. Based on an Euler-Lagrange methodology, the fluid phase is solved by using RANS (Reynolds Averaged Navier Stokes equation) and employing low-Reynolds SST k-w turbulence model. The ...
Thruster Allocation for Dynamical Positioning KU Leuven
Positioning a vessel at a fixed position in deep water is of great importance when working offshore. In recent years a Dynamical Positioning (DP) system was developed at Marin. After the measurement of the current position and external forces (like waves, wind etc.), each thruster of the vessel is actively controlled to hold the desired location. In this paper we focus on the allocation process to determine the settings for each thruster that ...
Consistency of strain fields and thickness distributions in thermoforming experiments through stereo DIC KU Leuven
This paper proposes a methodology to determine wall thickness distributions in thermoformed products derived from in-situ surface strain measurements obtained with stereo digital image correlation (DIC), under the assumption of material incompressibility. Wall thickness equations are derived for the Green-Lagrange, Hencky, Biot, logarithmic Euler-Almansi and Euler-Almansi strain definitions and validated with an analytic example. The equations ...
Block-Preconditioning for Hybrid Discretizations in Combination With Lagrange-Multiplier Coupling KU Leuven
Hybrid discretization methods based on a domain decomposition exploiting continuous symmetries present in parts of the model aim at a reduction of the computational cost of the related numerical simulations. The resulting linear systems of equations arising from, e.g., the coupling of finite elements (FE) and spectral elements (SE), are sparse and symmetric. However, in case of the use of saddle-point formulations an indefinite system of ...