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Application of control-based continuation to a nonlinear structure with harmonically coupled modes

Research output: Contribution to journalArticle

Original languageEnglish
Pages (from-to)449-464
Number of pages16
JournalMechanical Systems and Signal Processing
Volume120
Early online date1 Nov 2018
DOIs
DateAccepted/In press - 9 Oct 2018
DateE-pub ahead of print - 1 Nov 2018
DatePublished (current) - 1 Apr 2019

Abstract

This paper presents a systematic method for exploring the nonlinear dynamics of multi-degree-of-freedom (MDOF) physical experiments. To illustrate the power of this method, known as control-based continuation (CBC), it is applied to a nonlinear beam structure that exhibits a strong 3:1 modal coupling between its first two bending modes. CBC is able to extract a range of dynamical features, including an isola, directly from the experiment without recourse to model fitting or other indirect data-processing methods.

Previously, CBC has only been applied to (essentially) single-degree-of-freedom experiments; in this paper we show that the required feedback-control methods and path-following techniques can equally be applied to MDOF systems. A low-level broadband excitation is initially applied to the experiment to obtain the requisite information for controller design and, subsequently, the physical experiment is treated as a `black box' that is probed using CBC. The invasiveness of the controller used is analysed and experimental results are validated with open-loop measurements. Good agreement between open- and closed-loop results is achieved, though it is found that care needs to be taken in dealing with the presence of higher-harmonics in the force applied to the structure.

    Research areas

  • nonlinear dynamics, experiment, control-based continuation, multi-degree-of-freedom, modal interaction, isola

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  • Full-text PDF (accepted author manuscript)

    Rights statement: This is the accepted author manuscript (AAM). The final published version (version of record) is available online via Elsevier at DOI: 10.1016/j.ymssp.2018.10.008. Please refer to any applicable terms of use of the publisher.

    Accepted author manuscript, 651 KB, PDF document

    Licence: CC BY-NC-ND

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