Analysis of an actuated microbeam

Faculty EEMCS (Mathematical Physics) and Applied Sciences (Quantum Nanoscience). - In this project, we study the governing differential equation for a supported microbeam which is electrostatically actuated. The differential equation has been derived using a Hamiltonian principle and Kirchoff's approximation. Our questions on this differential...

A modified POD procedure with patterns in time for parameter estimation

Proper orthogonal decomposition (POD) is a well established model order reduction technique, however its efficiency is limited for advection dominated model. In this report, we explore a modified proper orthogonal decomposition procedure with patterns in time instead of the usual patterns in space. This modified procedure is more suitable for...

Synchronization in power-grid networks

This thesis discusses two different models regarding the synchronization in power-grid networks. These models are then compared to each other with respect to a nine-bus test system.

The stabilization and destabilization of Brouwer's Rotating Vessel

We beschouwen Brouwers roterende lichaam, een voorbeeld van een mechanisch systeem met het volgende paradoxale gedrag; zonder demping is er stabiliteit, met demping is er sprake van instabiliteit. Met modulatie van de hoeksnelheid wordt er een model afgeleid waarbij we pogen de instabiele gevallen te stabiliseren, hierbij is het meenemen van de...

Data Assimilation under Geological Constraints

An important key in reservoirs engineering is the development of reliable reservoir models with high predictive capacity of production behavior in the existing and new drilled wells. The reservoir predictability is the starting point for guiding the production plan to an optimum. In order to achieve this, the internal geological description of...

On the effect of tidal variations of turbulent mixing on flow and salt transport in estuaries

The intrusion of sea water into estuaries creates a complex flow that results from the density difference between fresh river run-off and salty sea water. In combination with other processes, such as tides, these complex flows are of interest because they affect the transport of e.g. salt, sediments and nutrients in water, which determine the...

De memristor in feedback control systemen - The memristor in feedback control systems

In 2008 Hewlett-Packard requested a patent on a passive memristive device, which caused the memristor to become a popular area of research again. This thesis focuses on the mathematical derivation and definition of a memristor and how we can incorporate such a memristor in a feedback control system. We determine the describing function of a...

Slimme multi-criteria optimalisatie voor radiotherapie

For multi-criteria optimization of radiation therapy treatment planning, several methods can be used. One method, the 2-phase ?-constraint method, is to optimize each criterium, one at a time, to find an optimal radiation plan. The disadvantage of this method is that it takes a lot of computation time. The purpose of this thesis is to...

Eigenvalue analysis of the Timoshenko beam theory with a damped boundary condition

In this report an attempt is made to analyse how a damped Timoshenko beam is affected by an external force.

Trapping of sediment in tidal estuaries

An estuary is an ideal habitat for various aquatic species. At the same time, estuaries and adjacent rivers are used as fast navigation routes between the coastal and inland territories. The fast industrial development and the subsequent growth of cities and trade have led to large-scale anthropogenic alterations of estuarine systems. Estuaries...

On asymptotics for difference equations

In this thesis a class of nonlinear oscillator equations is studied. Asymptotic approximations of first integrals for nonlinear difference equations are constructed by using the recently developed perturbation method based on invariance vectors. The asymptotic approximations of the solutions of the oscillator equations can be derived from these...

On a single degree of freedom oscillator with a time-varying mass

In this thesis the free and forced vibrations of a single degree of freedom oscillator with a periodically time-varying mass have been studied. Linear and weakly non-linear oscillator equations have been considered. The forced vibrations of the oscillator are partly due to small masses which are T-periodically hitting and leaving the oscillator...

A calibration procedure for a planning-guided application of head and neck hyperthermia

Hyperthermia, heating of tissue, is a method of cancer treatment. Due to dispositioning of the patient, the treatment will not be optimal. In this thesis we try to correct for such errors. This bachelorproject was performed at the Hyperthermia Unit of the Erasmus Medical Centre.

Vervuilingsrisico's in kustgebieden / Risk's of pollution in a coastal environment

In dit project wordt vervuilingstransport in kustwateren door diffusie en advectie gemodelleerd. Het is mogelijk dit te doen met behulp van numerieke modellen die zijn gebaseerd op gediscretiseerde partiele differentiaalvergelijkingen. Maar in dit project is gekozen voor een deeltjesmodel. Dit deeltjesmodel is makkelijk en snel te implementeren....

On the Computation of the Moments of a Polygon, with some Applications

A general formula for moments of a polygon is derived. The concept of 'moment' is a generalization of the statical, inertial and centrifugal moment respectively of a polygon, which as such are special moments of first and second order. Moments of higher order, however, also have applications in engineering mechanics.