Quadratic manifolds for reduced-order modelling of highly flexible multibody systems

Conference paper (2015)

Authors

L. Wu Dynamics of Micro and Nano Systems - Mechanical, Maritime and Materials Engineering
P. Tiso ETH Zürich
S. Jain ETH Zürich
A. van Keulen Computational Design and Mechanics - Mechanical, Maritime and Materials Engineering
Research Group
Dynamics of Micro and Nano Systems (Mechanical, Maritime and Materials Engineering) (TU Delft)
Model Order Reduction Quadratic manifold Modal derivatives Floating Frame of Reference
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Published Date

2015

Language

English

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Faculty

Mechanical, Maritime and Materials Engineering

Department

Precision and Microsystems Engineering

Research Group

Dynamics of Micro and Nano Systems

Abstract

The Floating Frame of Reference (FFR) provides a natural framework for the Model Order Reduction (MOR) of flexible multibody systems. The classical reduction carried out by a Galerkin projection on a reduced basis of Vibration Modes (VMs), however, is not applicable when the elastic deformations become finite. In this contribution, we present a MOR technique based on a quadratic manifold on which the reduced solution lives. The manifold is build by an expansion of the elastic displacements for each flexible body. The quadratic terms are formed by Modal Derivatives (MDs) that properly account for the effect of the geometric nonlinearity. As opposed to classical Galerkin projection for geometrically nonlinear systems, this approach minimizes the size of the reduced order model, at the price of a more complex nonlinear system.