Third Party Funds Group - Sub project
Start date : 01.01.2016
End date : 30.09.2020
Website: https://tu-dresden.de/bu/bauingenieurwesen/sdt/forschung/spp1886?set_language=en
The overarching goal of this project (phases I and II) is the development of models and structure preserving solution methods for biomechanical optimal control problems involving uncertainty to enable the reliable prediction of human motion with prostheses and their analysis. To be able to get close to the consideration of a real world scenario when simulating the uncertain motion with prosthesis, we want to exemplarily focus on one particular foot prosthesis and perform measurements. We will experimentally acquire material properties and model them as uncertain parameters and capture a walking motion to create an uncertain human leg model. The main part of the proposed research work comprises the further development of the fuzzy simulation methods for forward dynamics and optimal control problems to the presence of polymorphic uncertainty for the analysis of prosthetic structures during design and life cycle. This involves in particular the formulation and solution of uncertain optimisation problems. To keep the computational effort manageable, approximations of the uncertain problems are formulated.
Prosthesis models of increasing material complexity and different types of uncertainty are derived from experimental and computational analysis. The investigation of polymorphic uncertainty on the microstructure and its propagation to the macroscale is planned.
Furthermore, using the LTD's motion capture laboratory, uncertain quantities on model and parameter level, will be determined from analysing human gait trials. For the gait cycle simulation to encompass the entire gait cycle, ground contact, heel strike and toe-off have to be modelled for the complex precurved geometrically exact beam model of the carbon spring foot prosthesis.
Being one of the few projects so far in the SPP 1886 dealing with dynamical systems, the other subprojects will profit from the developed methods when focussing on time-dependent parameters and the change of a structure during its life cycle.