As a mathematician, I have always been fascinated by solving real-life problems with rigorous mathematical methods and powerful numerical software tools. THREAD is one of the first research projects that applies the novel mathematical concept of geometric numerical integration in industrial settings. It is a great honour and challenge to coordinate this European network of mechanical engineers and mathematicians and to share my enthusiasm for interdisciplinary research with a new generation of young scientists.
I have now for many years been working on methods for solving differential equations in a computer. Differential equations are important because they encode the laws of physics. My interest is in the field of structure preserving numerical methods and geometric numerical integration. These are methods designed to respect fundamental properties of the solution under computer approximation e.g. preserve important invariants. I am interested in applications of these methods to mechanical systems in general and to slender, flexible structures in particular because they can make important qualitative difference in computer simulations. I believe the research collaboration of mathematicians and engineers in the THREAD consortium can lead to significant advances in the technology of slender flexible structures.
Novel practical numerical methods for mechanical problems on Lie groups and manifolds and their implementation
THREAD is a great opportunity for me as a mathematician to work with the strong team of experts taking part in the consortium.
I am interested in numerical methods that preserve geometric properties, frequently found in models in mechanical engineering.
It is also a great privilege for me to supervise and interact with a large group of PhD students who are specialising in several different but related areas central to the THREAD project.
I see the project as a unique opportunity to bring together diverse and complementary expertise at the European level to advance the field of simulation of slender structures. In this project, I wish to investigate the non-linear phenomena occurring within large cables made of a high number of wires.
Mechanisms or structures based on cables or ropes represent in Mechanical Engineering lightness and efficiency. Their design poses difficult problems to analyze that involve fascinating aspects associated with geometry, self-contact or internal friction. In THREAD, mathematicians and engineers meet to explore the limits of solid mechanics.
My research focus concerns theoretical, numerical and experimental problems in the field of multibody system dynamics.
As a developer of software tools in multibody dynamics, I see a lot of open theoretical and numerical problems in nonlinear structural dynamics, which is the reason why I like to participate in the ETN. My special focus is on the dynamics of highly slender beams interacting with their surrounding, e.g. in the case of ropeway systems and medical applications, which will be addressed in the project of ESR8.
THREAD ITN is the most challenging and ambitious research project I have been involved in so far. I am immensely proud to be a member of this committed team of European researchers and industrial partners and have enjoyed every step both in the process of preparation of the project proposal as well as in its actual conduct. I firmly believe that in partnership with our excellent trans-continental young group of early-stage researchers we will make THREAD a success.
Sigrid Leyendecker is Professor of Applied Dynamics at the Friedrich Alexander Universität Erlangen-Nürnberg. Her research topics are situated in the field of computational mechanics, in particular dynamics and applied mathematics with focus on the development of efficient techniques for the simulation and optimisation of dynamical and control systems with applications to modern engineering and biomechanical questions.
The project of ESR 10 addresses the development of a simulation model for medical devices like endoscopes. The THREAD network constitutes an inspiring and ideally supporting framework for the various challenges from the modeling as well as the numerical point of view involved in this task.
Simulation of inelastic Cosserat rods and experimental investigation of their effective constitutive properties
Long and thin flexible structures have many different applications throughout various industry branches all over the world, and Cosserat rod models provide a versatile framework for the modeling and simulation of such applications. However, Cosserat rod models are technically quite demanding and rarely touched in the academic education of students. With THREAD we aim to change this situation and provide a new generation of skilled and motivated young researchers with broad, highly interdisciplinary and scientifically profound background in this subject. I hope that in this way THREAD provides the seed to spread knowledge about this academically interesting and likewise useful area
As an SME provider of specialized numerical modelling solutions we are very enthusiastic about being a part of the THREAD project. This is a great opportunity for our company to collaborate with top experts in the field of numerical modelling of flexible structures in the EU. It represents an excellent starting point for us to enter the application area with our customized solutions.
Nonlinear dynamics of slender beams: frequency domain numerical strategies and reduced order modelling
Olivier Thomas is full professor at Art et Metiers Institute of Technology, in Lille, France. Together with his team (one assistant professor and 7 PhD students / post-docs), he is investigating the nonlinear dynamics of vibrating mechanical structures and systems, and their interaction with electronic circuits, via piezoelectric or electromagnetic couplings. The four aspects of theoretical modelling, efficient numerical simulations, phenomenology of vibrations and experimental tests are addressed. The applications range from vibration damping (dynamic vibration absorbers, electromechanical shunts), musical instruments to micro/nano electromechanical systems.
»I am certain more elegant approaches could be found«, my supervisor often said when we had endless discussions on non-linear beams and three-dimensional rotations. I still agree, but the main challenge is to find them in the perspective of high accuracy, robustness and efficiency of numerical solution methods. Within the THREAD consortium such challenges are feasible.