Dynamic Substructuring of Geometrically Nonlinear Finite Element Models Using Residual Flexibility Modes
| Autor: | Duo Xu, Andreas Bartl, Morteza Karamooz Mahdiabadi, Daniel J. Rixen, Erhard Buchmann |
|---|---|
| Přispěvatelé: | Lehrstuhl für Angewandte Mechanik |
| Rok vydání: | 2016 |
| Předmět: |
Dynamic substructuring
0211 other engineering and technologies Equations of motion 02 engineering and technology Residual 01 natural sciences Finite element method ddc Nonlinear system Normal mode 0103 physical sciences Flexibility method Applied mathematics Reduction (mathematics) 010301 acoustics 021106 design practice & management Mathematics |
| Zdroj: | Dynamics of Coupled Structures, Volume 4 ISBN: 9783319549293 |
| Popis: | A nonlinear dynamic substructuring approach using Residual Flexibility method for geometrically nonlinear structures is investigated. In order to reduce the model order of a geometrically nonlinear structure, the closed form equations of motion for the substructures are classically required. However, in industrial applications these equations are often not available, because the model of interest is constructed in a commercial finite element software package. As a result, a non-intrusive reduction method is applied. To do so, the Rubin method which contains Residual Flexibility effect is used as a linear basis and the nonlinear terms with unknown coefficients – due to geometric nonlinearity – are added to them. These nonlinear stiffness coefficients of the reduced substructure are calculated using the Implicit Condensation and Expansion Method (ICE). Then, the nonlinear reduced substructures are assembled using Component Mode Synthesis (CMS). The performance of the free-interface method of Rubin as a linear basis for nonlinear substructuring is examined by implementing the proposed methods on an academic example developed in a commercial finite element software. The accuracy of the reduced order model is assessed by comparing the Nonlinear Normal Modes (NNMs) of the reduced order model with the ones of the original model before reduction. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
|