Mechanical vibrations are the cause of substantial operational and safety related problems with many mechanical systems of major importance, in particular in transportation, energy production, and industry. This project aims towards the development of new mathematical techniques to systematically investigate the dependence of vibrations on model parameters (e.g. bearing or material coefficients). To achieve this, equation-free techniques (also called coarse analysis) will be used which allow to obtain an understanding of the dynamic behaviour on a macroscopic scale by disregarding large amounts of unimportant information on the microscopic scale. The method fills the gap between time simulations of complex numerical models, such as nonlinear finite element models (FEM), and stability and bifurcation analyses with much simpler analytical models. The reason is that it enables such informative analyses directly on the complex microscopic models without the (often approximative) derivation of equations of motion on a macroscopic level. Due to the high-dimensional variable and parameter spaces and resulting computational costs, it is not possible to obtain similar information by direct simulations. The scientific goal is to clarify the potential of this approach within an important area of mechanics, rotating machinery (e.g. a turbocharger), where the detailed understanding of time dependent complex models play important roles in the design process.
|Period||01/04/2009 → 31/03/2012|
|Financing source||Forskningsrådene - Andre|
|Research programme||Forskningsrådene - Andre|
|Amount||4,500,000.00 Danish Krone|