Modal derivatives based reduced-order modelling in parametrically driven structures and frequency dividers

The application of Modal Derivatives (MDs) in conventional reduction methods is an effective method to capture geometric nonlinearities in Finite Element Models (FEMs). Reduction methods, in general, are used to effectively reduce the number of unknowns in FEMs for the sake of computational efficiency. We investigated the applicability of three...

Maximization of the geometric non-linearities of a thin-walled structure in resonance

Micro air vehicles (MAVs) are small aircraft that are promising for search and rescue missions or remote observations of hazardous or inaccessible areas. Currently one of the problems MAVs face is the limited action radius. To increase the action radius, a more energy efficient MAV is needed. This can be achieved by exploiting the resonance of...

Bridging the Gap Between Nonlinear Normal Modes and Modal Derivatives

Nonlinear Normal Modes (NNMs) have a clear conceptual relation to the classical linear normal modes (LNMs), yet they offer a solid theoretical framework for interpreting a wide class of non-linear dynamical phenomena with no linear counterpart. The main difficulty associating with NNMs is that the computation for real-size models is expensive,...

A NURBS based Galerkin projection method for the numerical computation of nonlinear normal modes using invariant manifolds

In this report a NURBS based Galerkin projection method will be synthesised for the numerical computation of nonlinear normal modes using invariant manifolds. The computed nonlinear normal modes will be used to create a reduced order model that describes the single mode dynamical behaviour of a nonlinear vibrational dynamical system. The...

Model Order Reduction for Non-Linear Structural Dynamics

Model order reduction of nonlinear magnetic problems

Computational numerical methods are important tools in science and technology today. Numerical simulations of nonlinear problems are usually computationally expensive. Model order reduction is a technique to reduce computation time of mathematical numerical models. Model order reduction of nonlinear problems is still in its developing state. In...

Nonlinear Model Reduction of Cable Slab Dynamics

In high precision motion systems, rather flexible cable slabs provide electrical power and cooling liquid to moving stages. The positioning accuracy of free floating stages is defined by the disturbances action on it. So, it is of utmost importance to accurately quantify the disturbance forces of these cables. The mathematical model of such a...

Rigid-body Simulation using Gaming Engines: A Study on the Usability of Gaming Industry Software for Simulating Engineering Problems

Realizing a Small UAV for Medical Transport in Developing Countries

Dynamic modelling of a flexible kite for power generation: Coupling a fluid-structure solver to a dynamic particle system

This thesis investigates the dynamic modelling of a kite power system. The goal was to create a model that is able to capture the complex flight dynamic behaviour of a kite. A proof-of-concept already existed. From that work the steady fluid-structure interaction (FSI) module, using finite elements (FE), was used and coupled to a bridle and...

Component Mode Synthesis for geometrically nonlinear structures

In the field of computational physics and engineering, the introduction of computers opened a world of possibilities. The finite element method was developed in order to solve complex problems numerically. Over time, the method matured and structures in the field of engineering became more and more complex, resulting in large degree of freedom...

Statistical Appearance Models for Fast and Automated Estimation of Proximal Femur Fracture Risk Using Finite Element Models

Use of DXA-measured aBMD is the common method to predict osteoporotic hip fractures in clinical settings. However, taking only the changes in aBMD into consideration is not enough to explain the whole variety of low energy fractures. It is deemed essential to develop alternative methods that also reflect the influence of other parameters (e.g....

Accuracy of Calculation Procedures for Offshore Wind Turbine Support Structures

The demand for energy will continue to increase in the coming years and offshore wind energy shows great potential to become a key player in Europe’s renewable energy future. The wind flow offshore is more stable and the average wind velocity is higher than onshore. Moreover, no size restriction exists for offshore wind turbines. However, the...

Model Order Reduction using the Discrete Empirical Interpolation Method

The invention of the computer opened new research fields in physics and engineering. One of the developments is the Finite Element Method (FEM). It has matured over the last decades, resulting in complex applications with many Degrees Of Freedom (dofs). The large number of dofs made the finite element problems expensive to solve. To make Finite...

Model Order Reduction for a Nonlinear Finite Element Model of a Joined Wing Structure

Joined Wing is a concept of nonplanar airplane wing structure. This is a new concept which is not yet used for commercial airplanes but has proven to have several advantages such as lowering the drag and lighter weight combined with higher stiffness. It also increases the maneuverability. However the simulation of the structure using Finite...

Finite Element Analysis of a Kite for Power Generation

The kite is modelled with the non-linear finite element method to stay close to its physical properties and represent its full non-linear flexible behaviour. The inflatable beams in the leading edge and struts are modelled with regular beam elements that represent the behaviour to reduce the amount of degrees of freedom drastically. The canopy...