An improved tensorial implementation of the incremental harmonic balance method for frequency-domain stability analysis

Suguang Dou*

*Corresponding author for this work

    Research output: Chapter in Book/Report/Conference proceedingArticle in proceedingsResearchpeer-review

    58 Downloads (Pure)

    Abstract

    Previous studies have proposed a tensor-based implementation of the incremental harmonic balance (IHB) method for gradientbased structural optimization of nonlinear forced resonance and nonlinear normal modes. Here the original implementation is improved for realizing an accurate stability analysis in frequency domain. This improvement is motivated by the unaddressed problem that an accurate stability analysis often requires more harmonics than an accurate response analysis. The proposed improvement helps to reduce the number of harmonics required for an accurate stability analysis and therefore reduce the computational expense. The improved implementation is applied to a nonlinear finite element model of a clamped-clamped beam. The insight gained in this study may be used in other variants of the harmonic balance methods.
    Original languageEnglish
    Title of host publicationAdvances in Nonlinear Dynamics: Proceedings of the Second International Nonlinear Dynamics Conference (NODYCON 2021)
    EditorsWalter Lacarbonara, Balakumar Balachandran, Michael J. Leamy, Ju Ma, J. A. Tenreio Machado, Gabor Stepan
    Number of pages10
    Volume1
    PublisherSpringer
    Publication date2022
    Edition1
    Pages443-452
    ISBN (Print)978-3-030-81161-7, 978-3-030-81164-8
    ISBN (Electronic)978-3-030-81162-4
    DOIs
    Publication statusPublished - 2022
    EventNODYCON 2021: Second International Nonlinear Dynamics Conference - online, Rome, Italy
    Duration: 16 Feb 202119 Feb 2021
    Conference number: 1
    https://nodycon.org/2021/

    Conference

    ConferenceNODYCON 2021
    Number1
    Locationonline
    Country/TerritoryItaly
    CityRome
    Period16/02/202119/02/2021
    Internet address
    SeriesNODYCON Conference Proceedings Series
    ISSN2730-7689

    Keywords

    • Nonlinear dynamics
    • Harmonic balance
    • Stability
    • Floquet exponents
    • Tensorial implementation

    Fingerprint

    Dive into the research topics of 'An improved tensorial implementation of the incremental harmonic balance method for frequency-domain stability analysis'. Together they form a unique fingerprint.

    Cite this