Forum for Science, Industry and Business

Sponsored by:     3M 
Search our Site:

 

Interaction Between Design and Functionality

05.08.2010
New BMBF Project on Digital Geometry Processing with Involvement of the MATHEON

For several years already, neither automotive engineering nor life science, architecture or the producers of animation films have been able to work without geometry processing. In the past few years, it has moved into new markets and lastingly changed our communication behaviour. Methods of applied mathematics and resulting efficient and robust algorithms form the basis and driving force of that development.

A team of the DFG Research Center MATHEON is involved and plays a decisive role in that work. Within the framework of a project entitled "GEOMEC – Discrete Geometrical Structural Mechanics for Applications in Virtual and Extended Reality" that is promoted by the Federal Ministry of Education and Research (BMBF), the team of Prof. Ulrich Pinkall of MATHEON has been awarded the subproject "Elasticity with Discrete Differential Geometry". The joint project is coordinated by Junior Professor Max Wardetzky of the Georg-August Universität Göttingen.

Up to now, physical aspects have not been taken into account to their full extent in computer aided geometric design, which has often led to a costly gap between design and functionality in today's production processes. GEOMEC shall close that gap. For example, a designer would like to understand what influence the change of parameters will have on a physical system. At the same time, however, the computing complexity of an exact simulation does still require a considerable expenditure of time and does not allow exact navigation. So it is the aim of the project to overcome that limitation by completely new methods and to be able to describe the physical trajectories in real time and on rough scales. This approach is in particular of importance because it is the extraction of essential information what is of interest to the designer, but never every detail of the actual physical trajectory.

There are being developed new interactive processes and methods that allow to directly integrate the physical-functional aspects into the process of shaping and design. This way, GEOMEC is setting completely new trends in virtual product development and rapid prototyping. The innovative content of the new methods is demonstrated using a selection of concrete applications from the automotive industry as examples.

From a mathematical point of view, these objectives will be achieved by a fusion of methods of structural mechanics with the latest findings in discrete differential geometry (DDG). DDG is located at the interface between numerics and classical differential geometry. It is its approach to maintain and imitate axioms, invariants and fundamental properties of established classical differential geometry at a structural level. Here it has turned out that sophisticated and profound properties of the classical theory often find an amazingly simple and intuitive correspondence in the discrete.

This approach is based on a number of working projects realized by some scientists involved in GEOMEC, such as in particular Ulrich Pinkall and Max Wardetzky, at the MATHEON at an earlier time already. Some of those research projects also relate to the animation of large motion pictures. Realtime simulations of flexible structures considering physical-functional behaviour have caused revolutionary changes especially in the film industry so far - such as in the animation of virtual characters or the simulation of hair, animal coats or fabric close to reality.

But also outside computer graphics, the methods of discrete differential geometry have an extensive potential for industrial applications. Respective examples include digital prototype design, assembly simulation or construction space simulation in automotive engineering, virtual surgery planning or catheter simulation in medicine, fabric simulation and virtual catwalk in the fashion industry, sail simulation in boat building, simulation of flexible cables and tubes in machine and plant construction, rotor blade dynamics of helicopters in aeronautics, but also the simulation of rotors of wind turbines in connection with overall-system simulation using methods of multibody dynamics in the field of renewable energy.

MATHEON-Professor Ulrich Pinkall is responsible for the GEOMEC subproject "Elasticity with Discrete Differential Geometry". Further subprojects are headed by Prof. Marc Alexa, Technische Universität Berlin, School of Electrical Engineering and Computer Science, Prof. Arnd Meyer, Technische Universität Chemnitz, Faculty of Mathematics, Junior Prof. Max Wardetzky, Georg–August Universität Göttingen, Institute for Numerical and Applied Mathematics as well as Dr. Joachim Linn, Fraunhofer-Institut für Techno- und Wirtschaftsmathematik. Volkswagen AG is the cooperation partner.

Further information: Prof. Max Wardetzky, Tel: 0551 3922235, E-mail: wardetzky@math.uni-goettingen.de and Prof. Ulrich Pinkall, Tel.: 030 31424607, E-mail: pinkall@math.tu-berlin.de

Rudolf Kellermann | idw
Further information:
http://www.matheon.de
http://www.math.tu-berlin.de/~pinkall/

More articles from Interdisciplinary Research:

nachricht Easier Diagnosis of Esophageal Cancer
06.03.2017 | Helmholtz Zentrum München - Deutsches Forschungszentrum für Gesundheit und Umwelt

nachricht Sandia uses confined nanoparticles to improve hydrogen storage materials performance
27.02.2017 | DOE/Sandia National Laboratories

All articles from Interdisciplinary Research >>>

The most recent press releases about innovation >>>

Die letzten 5 Focus-News des innovations-reports im Überblick:

Im Focus: A Challenging European Research Project to Develop New Tiny Microscopes

The Institute of Semiconductor Technology and the Institute of Physical and Theoretical Chemistry, both members of the Laboratory for Emerging Nanometrology (LENA), at Technische Universität Braunschweig are partners in a new European research project entitled ChipScope, which aims to develop a completely new and extremely small optical microscope capable of observing the interior of living cells in real time. A consortium of 7 partners from 5 countries will tackle this issue with very ambitious objectives during a four-year research program.

To demonstrate the usefulness of this new scientific tool, at the end of the project the developed chip-sized microscope will be used to observe in real-time...

Im Focus: Giant Magnetic Fields in the Universe

Astronomers from Bonn and Tautenburg in Thuringia (Germany) used the 100-m radio telescope at Effelsberg to observe several galaxy clusters. At the edges of these large accumulations of dark matter, stellar systems (galaxies), hot gas, and charged particles, they found magnetic fields that are exceptionally ordered over distances of many million light years. This makes them the most extended magnetic fields in the universe known so far.

The results will be published on March 22 in the journal „Astronomy & Astrophysics“.

Galaxy clusters are the largest gravitationally bound structures in the universe. With a typical extent of about 10 million light years, i.e. 100 times the...

Im Focus: Tracing down linear ubiquitination

Researchers at the Goethe University Frankfurt, together with partners from the University of Tübingen in Germany and Queen Mary University as well as Francis Crick Institute from London (UK) have developed a novel technology to decipher the secret ubiquitin code.

Ubiquitin is a small protein that can be linked to other cellular proteins, thereby controlling and modulating their functions. The attachment occurs in many...

Im Focus: Perovskite edges can be tuned for optoelectronic performance

Layered 2D material improves efficiency for solar cells and LEDs

In the eternal search for next generation high-efficiency solar cells and LEDs, scientists at Los Alamos National Laboratory and their partners are creating...

Im Focus: Polymer-coated silicon nanosheets as alternative to graphene: A perfect team for nanoelectronics

Silicon nanosheets are thin, two-dimensional layers with exceptional optoelectronic properties very similar to those of graphene. Albeit, the nanosheets are less stable. Now researchers at the Technical University of Munich (TUM) have, for the first time ever, produced a composite material combining silicon nanosheets and a polymer that is both UV-resistant and easy to process. This brings the scientists a significant step closer to industrial applications like flexible displays and photosensors.

Silicon nanosheets are thin, two-dimensional layers with exceptional optoelectronic properties very similar to those of graphene. Albeit, the nanosheets are...

All Focus news of the innovation-report >>>

Anzeige

Anzeige

Event News

International Land Use Symposium ILUS 2017: Call for Abstracts and Registration open

20.03.2017 | Event News

CONNECT 2017: International congress on connective tissue

14.03.2017 | Event News

ICTM Conference: Turbine Construction between Big Data and Additive Manufacturing

07.03.2017 | Event News

 
Latest News

Transport of molecular motors into cilia

28.03.2017 | Life Sciences

A novel hybrid UAV that may change the way people operate drones

28.03.2017 | Information Technology

NASA spacecraft investigate clues in radiation belts

28.03.2017 | Physics and Astronomy

VideoLinks
B2B-VideoLinks
More VideoLinks >>>