Model reduction of rotor-foundation systems using the approximate invariant manifold method

Arthur Mereles, Diogo Stuani Alves, Katia Lucchesi Cavalca

Research output: Contribution to journalArticlepeer-review

2 Citations (SciVal)
4 Downloads (Pure)

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 languageEnglish
Pages (from-to)10743-10768
Number of pages26
JournalNonlinear Dynamics
Volume111
Issue number12
Early online date28 Mar 2023
DOIs
Publication statusPublished - 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.

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

Fingerprint

Dive into the research topics of 'Model reduction of rotor-foundation systems using the approximate invariant manifold method'. Together they form a unique fingerprint.

Cite this