Investigation of Accuracy, Speed and Stability of Hyper-Reduction Techniques for Nonlinear FE

The field of Hyper-reduction for Nonlinear Finite Element Method attempts to address the large durations due to repeated evaluation and assembly of the internal force and Jacobian. Stability, accuracy and speed are three aspects of thesemethods that has been dealt with in this thesis. There are two methods that are popular within the...

Nonlinear Model Reduction of Cable Slab Dynamics

In high precision motion systems, rather flexible cable slabs provide electrical power and cooling liquid to moving stages. The positioning accuracy of free floating stages is defined by the disturbances action on it. So, it is of utmost importance to accurately quantify the disturbance forces of these cables. The mathematical model of such a...