Abstract
This work presents a model reduction method suited for performing nonlinear dynamic analysis of high-dimensional rotor-foundation systems modeled by the finite element method. The approach consists in combining the component mode synthesis (CMS) method with the approximate invariant manifold method (AIMM), and allows the obtention of forced responses through the integration of a single pair of ordinary differential equations. The proposed approach is tested using two examples: a simple and a complex rotor-foundation system. In both cases, the nonlinearity comes from the fluid-film bearings. The results show that the method can provide a significant reduction in numerical cost while still retaining good accuracy when compared to direct time integrations. By means of the proposed method, the nonlinear dynamic analysis of high-dimensional rotor-foundation system becomes a feasible option.
| Original language | English |
|---|---|
| Pages (from-to) | 10743-10768 |
| Number of pages | 26 |
| Journal | Nonlinear Dynamics |
| Volume | 111 |
| Issue number | 12 |
| Early online date | 28 Mar 2023 |
| DOIs | |
| Publication status | Published - 30 Jun 2023 |
Bibliographical note
Funding Information:The authors would like to thank CNPq (Grants #307941/2019-1 and #140275/2021-5) for the financial support to this research.
Data Availability Statement
The datasets generated during and analyzed during the current study are not publicly available but are available from the corresponding author on reasonable request.Funding
This work was funded by Conselho Nacional de Desenvolvimento Científico e Tecnológico (Grant Nos. 307941/2019-1, 140275/2021-5).
Keywords
- Approximate invariant manifold method
- Component mode synthesis
- Fluid-film bearings
- Model reduction method
- Nonlinear analysis
- Rotor-foundation systems
ASJC Scopus subject areas
- Control and Systems Engineering
- Aerospace Engineering
- Ocean Engineering
- Mechanical Engineering
- Applied Mathematics
- Electrical and Electronic Engineering