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

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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.

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Data availability

The datasets generated during and analyzed during the current study are not publicly available but are available from the corresponding author on reasonable request.

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Acknowledgements

The authors would like to thank CNPq (Grants #307941/2019-1 and #140275/2021-5) for the financial support to this research.

Funding

This work was funded by Conselho Nacional de Desenvolvimento Científico e Tecnológico (Grant Nos. 307941/2019-1, 140275/2021-5).

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Authors and Affiliations

  1. Laboratory of Rotating Machinery, Faculty of Mechanic Engineering, UNICAMP, Rua Mendeleyev, 200, Campinas, SP, 13083-860, Brazil

    Arthur Mereles & Katia Lucchesi Cavalca

  2. Department of Mechanical Engineering, University of Bath, Bath, BA2 7AY, UK

    Diogo Stuani Alves

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  1. Arthur Mereles
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Mereles, A., Alves, D.S. & Cavalca, K.L. Model reduction of rotor-foundation systems using the approximate invariant manifold method. Nonlinear Dyn 111, 10743–10768 (2023). https://doi.org/10.1007/s11071-023-08421-x

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