Damping optimization in mechanical systems using parametric model reduction

Datum predavanja: petak, 5. 2. 2021.
Vrijeme predavanja: 10h
Zoran Tomljanović, UniOs
Title: Damping optimization in mechanical systems using parametric model reduction

Vibration reduction is very important in the study of mechanical systems and it is usually achieved by damping optimization. In damping optimization, the principal goal is to determine an optimal external damping matrix which will ensure optimal deviation from its equilibrium.
In the first part of the talk we present problem formulation and give an overview of different optimality measures for considering vibration reduction for mechanical systems.
In the second part of the talk we are focused on parametric model reduction of structured systems, which can be applied for efficient damping optimization. Furthermore, this can be also applied for model reduction of linear dynamical systems having an affine parameter dependence that allow low-rank variation in the state matrix. We propose an approach that requires neither parameter sampling nor parameter space exploration. Instead, we represent the system response function as a composition of four subsystem response functions that are nonparametric with a purely parameter-dependent function. The parametric structure of our reduced system representation lends itself very well to the development of optimization strategies making use of efficient cost function surrogates. We discuss this in detail for damping optimization of vibrating structures. We illustrate our approach on a class of numerical examples.

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