On The Use Of Model Order Reduction Techniques For The Elastohydrodynamic Contact Problem
Download On The Use Of Model Order Reduction Techniques For The Elastohydrodynamic Contact Problem PDF/ePub or read online books in Mobi eBooks. Click Download or Read Online button to get On The Use Of Model Order Reduction Techniques For The Elastohydrodynamic Contact Problem book now. This website allows unlimited access to, at the time of writing, more than 1.5 million titles, including hundreds of thousands of titles in various foreign languages.
On the Use of Model Order Reduction Techniques for the Elastohydrodynamic Contact Problem
Author: Maier, Daniel
language: en
Publisher: KIT Scientific Publishing
Release Date: 2015-05-12
The objective of this work is to develop a method which solves the nonlinear elastohydrodynamic contact problem in a fast and precise way using model order reduction techniques. The reduction procedure is based on a projection onto a low-dimensional subspace using different hyper-reduction procedures. The method provides fast and highly accurate reduced order models for stationary and transient, Newtonian and Non-Newtonian EHD line and point contact problems.
On the Use of Model Order Reduction Techniques for the Elastohydrodynamic Contact Problem
In today's product development process, fast and exact simulational models of complex physical problems gain in significance. The same holds for the elastohydrodynamic (EHD) contact problem. Thus, the objective of this work is to generate a compact model for the EHD contact problem by the application of model order reduction. Thereto, the EHD contact problem, consisting of the nonlinear Reynolds equation, the linear elasticity equation and the load balance, is solved as a monolithic system of equations using Newton's method. The reduction takes place by projection onto a low-dimensional subspace, which is based on solutions of the full system. Moreover, a so-called system approximation is executed at which the reduced system matrices are substituted by less complex surrogates. For the stationary EHD contact problem, an algorithm for the automated generation of the compact model is presented. This algorithm provides fast and numerically stable reduced systems on a given parameter range. Additionally, the reduced Newton method is extended to the consideration of Non-Newtonian fluids whereat highly accurate results are obtained requiring a very low computational time. Furthermore, a new formulation for the transient EHD contact problem is introduced, at which the computational area is adapted to the current contact size. This kind of morphing enables efficient reduced models in particular for excitations of large amplitude. Beside of the reduced Newton-method with system approximation, the method Trajectory Piecewise Linear (TPWL) is applied to the transient EHD contact problem. Here, further speed-up potential arises. Despite a distinctly lower computational time, the reduced model is in very good accordance with the full system.
An efficient solution procedure for elastohydrodynamic contact problems considering structural dynamics
Author: Schmidt, Jan Henrik
language: en
Publisher: KIT Scientific Publishing
Release Date: 2019-01-14
This work presents an efficient solution procedure for the elastohydrodynamic (EHD) contact problem considering structural dynamics. The contact bodies are modeled using reduced finite element models. Singly diagonal implicit Runge-Kutta (SDIRK) methods are used for adaptive time integration. The structural model is coupled with the nonlinear Reynolds Equation using a monolithic coupling approach. Finally, a reduced order model of the complete nonlinear coupled problem is constructed.