Publication Date

1-1-2024

Document Type

Article

Publication Title

IEEE Access

DOI

10.1109/ACCESS.2024.3449913

Abstract

This paper presents a novel physics-based data-driven approach for reconstructing the nonlinear governing equations and suppressing vibrations in vertical-shaft rotary machines during transient motion. We first identify the key nonlinear terms using a physics-based methodology. Subsequently, a data-driven approach, known as the Sparse Identification of Nonlinear Dynamical Systems (SINDy), is employed to reconstruct the nonlinear governing equations of a typical rotary machine. After validating the model, a robust nonlinear controller is designed using the terminal sliding mode control (TSMC) technique to reduce lateral vibrations in the machine’s shaft. Extensive experimental tests on a laboratory-scale rotary system confirm the stability and robustness of the proposed approach. The results also demonstrate that the proposed method significantly reduces lateral vibrations in rotary machines.

Funding Sponsor

Louisiana Economic Development

Keywords

Active vibration control, Analytical models, Computational modeling, Mathematical models, Nonlinear dynamical systems, Nonlinear dynamical systems, physics-based modeling, rotary machines, Rotors, Sliding mode control, sparse identification of nonlinear dynamics (SINDy), terminal sliding mode control (TSMC), Transient analysis, Vibration control, Vibrations

Creative Commons License

Creative Commons License
This work is licensed under a Creative Commons Attribution-Noncommercial-No Derivative Works 4.0 License.

Department

Mechanical Engineering

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